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Finding an Indefinite Integral with a Fraction

Solving an indefinite integral by first simplifying the fraction

Finding an Antiderivative

Finding the antiderivative of a function

Finding a Derivative with Exponential Functions and Logarithms

Finding the derivative a function with a power, exponential, and logarithm

Using the Product Rule with a Logarithm

Finding a derivative of a function with a logarithm using the Product Rule

Using Both the Quotient and Product Rule

Finding a derivative using both the Product and Quotient Rule

Using Log Properties to Simplify Before Taking the Derivative

Using logarithm properties to simplify before using the Chain Rule to find a derivative

Using Log Properties to Simplify Before Taking the Derivative 2

Using logarithm properties to simplify before using the Generalized Logarithm Rule to find a derivative

Using Logarithmic Differentiation to Find a Derivative

Finding the derivative of a function that requires logarithmic differentiation

Using the Alternate Form of the Chain Rule

Using the alternate form of the Chain Rule to find the derivative

Finding a Function from its Derivative and One Value

Solving for a function given its derivate and one value

Finding an Indefinite Integral

Evaluating an indefinite integral with an exponential

u-Substitution With a Natural Logarithm

Solving an indefinite integral with a natural logarithm using u-substitution

Calculating Profit From Marginal Profit Using u-Substitution

Calculating profit from marginal profit using an indefinite integral and u-substitution

Antiderivatives: MATH 171 Problems 4-6

Proving facts about antiderivatives and a physics application

Continuity of a Function with a Square Root and Logarithm

Determining where a function with a fraction, square root, and logarithm is continuous

Determining Where the Derivative Exists From a Graph

Determining where the derivative of a function does not exist from a graph

Finding a Derivative by Simplifying a Rational

Finding the derivative of a rational function by simplifying and using the power rule

Evaluating Derivatives From a Given Table

Finding and evaluating derivatives using values given in a table

Calculating Marginal Revenue

Finding the marginal revenue given the price-demand function for a word problem

The Quotient Rule with an Exponential

Finding the derivative of a fraction with an exponential using the Quotient Rule

Using the Product and Quotient Rules with a Table

Finding a derivative using the Product and Quotient Rule and values given in a table

Using the Product Rule with an Exponential

Finding the derivative of a function with a square root and exponential using the Product Rule

Using the Generalized Power Rule

Finding the derivative of a function using the Generalized Power Rule

Using the Generalized Exponential Rule

Using the Generalized Exponential Rule to find the derivative of a function

Using the Chain Rule with a Table

Using the chain rule to find derivates with some values given in a table

Calculating the Rate of Growth With Compound Interest

Finding the rate a balance is increasing for interest compounded monthly and continuously

Using Implicit Differentiation to Find a Derivative

Using implicit differentiation to find the derivative of a function

Using Implicit Differentiation to Find a Derivative 2

Using implicit differentiation to find the derivative of a function

Solving a Related Rates Word Problem About Liquid Filling a Sphere

Finding the rate water is flowing into an expandable sphere given the rate a sphere is growing

Solving a Related Rates Word Problem About Profit

Finding the rate of change of profit given the rate of increase for sales

Solving a Related Rates Word Problem About a Sliding Ladder

Finding how fast a ladder moves up a wall as the bottom is being pushed

Increasing and Decreasing and Local Extrema

Finding the intervals where a function is increasing/decreasing and the local extrema

Increasing and Decreasing and Local Extrema for a Revenue Function

Finding intervals of increase/decrease and the local extema for revenue from a word problem

Finding Critical Values

Finding the critical values for several functions

Using the Quotient Rule Twice to Find the Second Derivative

Using the quotient rule twice to find the second derivative of a rational function

Inflection Points and Intervals of Concavity for an Exponential Function

Finding the intervals of concavity and inflection points for a function with exponentials

Inflection Points and Intervals of Concavity from a Graph

Determining the intervals of concavity and inflection points from the graph of a function

Absolute Extrema on a Closed Interval

Finding the absolute maximum and minimum of a rational function on two closed intervals

Absolute Extrema on a Closed Interval 2

Finding the absolute maximum and absolute minimum of a rational function on two closed intervals

Maximizing a Product of Numbers

Finding the maximum product of two numbers given their sum is 100

Finding the Price to Maximize Profit

Finding the selling price of trucks to maximize profit given the cost and price-demand functions

Finding the Box with the Largest Volume

Finding the dimensions of the box with the largest volume given the amount of material to make the box

Minimizing the Cost of a Box

Finding the minimum cost of a box given the volume and cost of materials

Finding the Cost Function from Marginal Cost

Solving the antiderivative of marginal cost to find the cost function and evaluating a particular cost

u-Substitution With an Exponential Function

Solving an indefinite integral with an exponential function suing u-substitution

u-Substitution With a Quotient and Exponentials

Solving an indefinite integral with exponentials in a quotient using u-substitution

u-Substitution With a Quotient and a Root

Solving an indefinite integral with a cube root in the denominator using u-substitution

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

Derivatives of Exponential Functions Example 2

Calculating a derivative of a quotient with an exponential function

Optimization Example 2

Using the second derivative to find the maximum rate of change in a word problem

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7

Derivatives of exponential functions and the exponential model

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19

Mean Value Theorem and using derivatives to find the shape of curves

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 3.8 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Studying the Shape of Curves: MATH 151 4.1 Problems 2-7

Using derivatives to find properties of graphs

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12

Using Riemann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

MLC WIR 20B M151 week5 #4ef

Finding the derivative of a function containing a logarithmic function

MLC WIR 20B M151 week5 #4ghi

Finding the derivatives of functions containing logarithms

MLC WIR 20B M151 week5 #5

Finding the derivative of a function containing a logarithms

MLC WIR 20B M151 week5 #6

Finding the equation of a tangent line to a function containing a logarithm

MLC WIR 20B M151 week5 #7a

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week5 #7b

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week5 #7c

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week6 #3

Using the chain rule to find a derivative

MLC WIR 20B M151 week6 #4a

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week6 #4b

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week6 #1gh

Using the Product and Chain Rules to differentiate functions with logarithms

MLC WIR 20B M151 week6 #1ij

Differentiating functions with logarithmic and inverse trigonometric functions

MLC WIR 20B M151 week7 #2b

Finding a number that satisfies the conclusion of the Mean Value Theorem on an interval

MLC WIR 20B M151 week7 #4g

Evaluating a limit with an indeterminate power using L'Hospital's Rule

MLC WIR 20B M151 week7 #4h

Evaluating a limit with an indeterminant power using L'Hospital's Rule

MLC WIR 20B M151 week7 #4c

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week8 #5c

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #5d

Antidifferentiating to find a function from its derivative

MLC WIR 20B M151 week8 #5e

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #5f

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #6

Using antidifferentiation to find the height of a cliff from the impact speed of a dropped stone

MLC WIR 20B M151 week9 #8c

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week9 #8d

Evaluating a limit with an indeterminant power using L'Hospital's Rule

MLC WIR 20B M151 week9 #10a

Finding the antiderivative of a polynomial

MLC WIR 20B M151 week9 #10b

Finding the antiderivative of a rational function

MLC WIR 20B M151 week9 #10c

Finding the antiderivative of a function with secant and tangent

MLC WIR 20B M151 week9 #10d

Finding the antiderivative of a function and using a function value to find the constant

MLC WIR 20B M151 week9 #10e

Antidifferentiating twice to find a function from its second d

MLC WIR 20B M151 week9 #10f

Antidifferentiating twice to find a function from its second d

MLC WIR 20B M151 week10 #9c

Finding a derivative using the Chain Rule and Product Rule

MLC WIR 20B M151 week10 #9d

Finding a derivative using the Quotient Rule

MLC WIR 20B M151 week10 #23a

Evaluating an indefinite integral by simplifying a fraction to powers of x

MLC WIR 20B M151 week10 #11

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week10 #19b

Using L'Hospital's Rule to solve a limit with an indeterminant product

MLC WIR 20B M151 week10 #19c

Using L'Hospital's Rule to solve a limit with an indeterminant difference

MATH 152: Integration by Parts Exercise 4

Solving an indefinite integral with a natural logarithm using integration by parts

MATH 152: Integration by Parts Exercise 5

Solving a definite integral with a natural logarithm using integration by parts

WIR 20B M152 V23

Evaluating an integral using integration by parts

WIR 20B M152 V2

Integrating a rational function using u-substitution

WIR 20B M152 V3

Integrating a rational function using u-substitution

WIR 20B M152 V34

Evaluating an integral using integration by parts

WIR 20B M152 V35

Evaluating an integral using integration by parts

WIR 20B M152 V35.5

Evaluating an integral using integration by parts

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7

Derivatives of exponential functions and the exponential model

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19

Mean Value Theorem and using derivatives to find the shape of curves

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Derivatives of Logarithmic Functions: MATH 171 Problems 1-3

Proving the derivative of ln(x) and the power and product rules using logarithmic differentiation

Studying the Shape of Curves: MATH 151 4.1 Problems 2-7

Using derivatives to find properties of graphs

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs

L'Hospital's Rule: MATH 171 Problems 7-9

Proving L'Hospital's Rule and using it to evaluate limits

Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12

Using Riemann sums and the Fundamental Theorem of Calculus

Fundamental Theorem of Calculus: MATH 171 Problems 1-3

Proving and then applying the Fundamental Theorem of Calculus

Integration by Substitution: MATH 171 Problems 4-6

Using u substitution to evaluate integrals and prove facts about logarithms and integrals and

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

Integration by Parts: MATH 172 Problems 1 & 2

Proving the formula for integration by parts and a reduction formula

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

WIR2 20B M251 V12

Finding the position vector function given the velocity and an initial position

WIR 20B M152 V45

Determining if a sequence converges or diverges

MATH 152: Sequences Exercise 6

Finding the limit of a sequence using logarithm properties

MATH 152: Sequences Exercise 7

Finding the limit of a sequence

Finding the nth Taylor Polynomial Exercise

Finding the nth Taylor polynomial of the natural log function centered at 1

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

MATH 140 5.8 Exercise 10

Finding the domain of a function containing several logarithms

MATH 140 5.8 Exercise 11

Finding the domain of a function containing a logarithm, exponential, and fraction

MATH 140 5.8 Exercise 13

Solving an equation with exponential functions

MATH 140 5.8 Exercise 14

Solving an equation with a logarithmic function

MATH 140 5.8 Exercise 15

Solving an equation with several logarithmic functions

MATH 140 5.8 Exercise 4

Evaluating a logarithm inside an exponential function

MATH 140 5.8 Exercise 5

Expressing a combination of logarithms as a single logarithm

MATH 140 5.8 Exercise 7

Finding the domain, range, end behavior, and intercepts for a logarithmic function

MATH 140 5.8 Exercise 9

Finding the domain of a function containing a logarithm, exponential, radical, and fraction

MATH 140 5.8 Exercise 12

Solving an equation an exponential function

MATH 140 5.8 Exercise 1

Using properties of logarithms to determine whether a statement is true or false

MATH 140 5.8 Exercise 2

Using properties of logarithms to determine whether a statement is true or false

Evaluating Limits from a Graph

Finding limits from the graph of a piecewise function

Evaluating One-Sided Limits from a Graph

Finding one-sided limits from the graph of a piecewise function

Evaluating a Limit Numerically

Finding the limit of a function numerically using a calculator

Combinations of Limits from Graphs

Finding limits of combinations of functions using their graphs

Evaluating Limits Algebraically

Using the properties of limits to find several limits algebraically

Limit of a Piecewise Function

Finding one and two-sided limits for a piecewise function algebraically

Limit of a Rational Function

Finding the limit of a rational function algebraically

Limit of a Rational Function 2

Finding the limit of a rational function algebraically

Limit with Multiple Fractions

Finding the limit algebraically of a function with multiple fractions

Limit of a Fraction with a Square Root

Finding the limit algebraically of a function with a square root in the numerator of a fraction

Limit with an Absolute Value

Finding the limit algebraically of a function with an absolute value

Limit at Negative Infinity of a Rational Function

Solving a limit approaching negative infinity for a rational function

Limits at Infinity of a Rational Function

Solving the limits approaching infinity and negative infinity of a rational function

Limits at Infinity of a Rational Function 2

Solving the limits approaching infinity and negative infinity of a rational function

Limits at Infinity of a Fraction with Exponential Functions

Solving the limits approaching infinity and negative infinity with exponential functions in the numerator and denominator

Vertical Asymptotes and Holes of a Rational Function

Finding the holes and vertical asymptotes of a rational function

Horizontal Asymptote of a Fraction with Exponential Functions

Finding the horizontal asymptotes of a function that is a fraction with exponentials in the numerator and denominator

Where the Graph of a Function is Not Continuous

Determining where a piecewise function is continuous from its graph

Continuity of a Function with a Cube Root

Finding where a function with a fraction and cube root is continuous

Continuity of a Piecewise Function

Determining where a piecewise function is continuous algebraically

Solving for a Constant so a Piecewise Function is Continuous

Solving for a constant to make a piecewise-defined function continuous for all real numbers

Average Rate of Change from a Table

Finding the average rate of change over time periods from a table

Slope of a Secant Line

Finding the slope of a secant line to a given function

Instantaneous Rate of Change of a Function

Finding the exact value of the instantaneous rate of change

Instantaneous Rate of Change of a Rational Function

Finding the exact value of the instantaneous rate of change

Instantaneous Rate of Change of Profit

Finding the instantaneous rate of change of profit for a given price-demand function and cost function

Slope of a Tangent Line

Finding the equation of the tangent line to a function using the limit definition

Finding the Derivative of a Polynomial Using the Limit Definition

Using the limit definition to find the derivative of a polynomial

Finding the Derivative of a Rational Function Using the Limit Definition

Using the limit definition to find the derivative of a rational function

Finding the Derivative of a Root Function Using the Limit Definition

Using the limit definition to find the derivative of a square root function

Using the Quotient Rule on a Rational Function

Finding the derivative of a rational function using the Quotient Rule

Finding Marginal Cost and Marginal Average Cost

Finding the derivative of both the cost function and average cost function

Finding Where a Function is Increasing and Decreasing

Determining the intervals where a function is increasing and decreasing

Using the Second Derivative Test to Find Local Extrema

Using the second derivative test to find local extrema for a function

Local and Absolute Extrema from a Graph

Finding all local and absolute extrema of a function from a graph

Calculating the Exact Area Under a Curve With Geometry

Using geometric formulas for circles, triangles, and rectangles to find the exact area under a curve

Introduction to Riemann Sums

Estimating the area under a function using right-hand, left-hand, and midpoint Riemann sums

Estimating Area With a Right-Hand Riemann Sum

Estimating the area under a curve using right-hand Riemann sums

Estimating Area With a Left-Hand Riemann Sum

Estimating the area under a curve using left-hand Riemann sums

Estimating Area With a Midpoint Riemann Sum

Estimating the area under a curve using midpoint Riemann sums

Estimating the Area Under a Curve With a Riemann Sum

Estimating the area under a graph using right-hand Riemann sums

Calculating a Definite Integral From a Graph

Calculating a definite integral by finding the area under a curve using geometry

Definite Integral Comparison Properties

Comparing two definite integrals with the same limits of integration

Evaluating a Definite Integral

Using the Fundamental Theorem of Calculus to evaluate a definite integral

Evaluating a Definite Integral 2

Using the Fundamental Theorem of Calculus to evaluate a definite integral

Evaluating a Definite Integral with u-Substitution

Using the Fundamental Theorem of Calculus and \(u\)-substitution to evaluate a definite integral

Part 1 of the Fundamental Theorem of Calculus

Using Part 1 of the Fundamental Theorem of Calculus to find the derivative of a function defined using an integral

Solving a Word Problem With a Definite Integral

Solving a word problem using a definite integral and the Fundamental Theorem of Calculus

Average Value of a Function

Finding the average value of a a function on an interval using a definite integral

Area Between Two Curves

Finding the area between two curves on an interval using a definite integral

Area of the Region Bounded by Two Curves

Finding the area of a region bounded by two curves using definite integrals

Related Rates Example 1

Solving a related rates word problem for the rate of change of a cell's radius

Related Rates Example 2

Solving a related rates word problem on blood flow and the Poiseuille equation

Higher Derivatives Example 1

The definition of higher derivatives and solving an example

Higher Derivatives Example 2

Using derivatives to find the velocity and acceleration functions from the position function

Derivatives of Exponential Functions Example 1

Calculating the derivative of a function with exponentials using the chain and product rule

Definition of a Double-Log Plot

Explaining the definition of logarithmic scale and double-log plots

Definition of a Semilog Plot

Explaining the logarithmic scale and a semilog plot

Double-Log Plot Example 1

Using logarithms to transform a power function into a linear function

Double-Log Plot Example 2

Writing a non-linear function for the graph containing two points on a double-log plot

Semilog Plot Example 1

Using logarithms to transform an exponential function to a linear function

Semilog Plot Example 2

Writing a non-linear function to represent the line graphed on a semilog plot

Linear Approximation Example

Using a linear approximation and the per capita growth rate to estimate population size

Optimization Example 1

Solving an optimization word problem using a derivative

WIR4 20B M150 V6

Simplifying logarithmic expressions using the properties of logarithms

WIR4 20B M150 V7

Determining the properties of a logarithmic function

WIR4 20B M150 V8

Determining the graph of a logarithmic function

WIR4 20B M150 V9

Determining the properties of a logarithmic function

WIR4 20B M150 V10

Determining the graph of a logarithmic function

WIR4 20B M150 V11

Using the properties of logarithms to expand a logarithmic expression

WIR4 20B M150 V12

Using the properties of logarithms to expand a logarithmic expression

WIR4 20B M150 V13

Using the properties of logarithms to condense the expression as a single logarithm

WIR4 20B M150 V14

Using the properties of logarithms to condense the expression as a single logarithm

WIR4 20B M150 V15

Using the formula to change the base of a logarithm

WIR4 20B M150 V16

Using the formula to change the base of a logarithm

WIR4 20B M150 V17

Solving an equation with an exponential function

WIR4 20B M150 V18

Solving an equation with an exponential function

WIR4 20B M150 V19

Solving an equation with an exponential function

WIR4 20B M150 V20

Solving an equation with exponential functions by factoring

WIR4 20B M150 V25

Modeling a population size with an exponential function

Vectors and Derivatives: MATH 151 K.1 Problems 1-8

Derivatives and vectors with some physics applications

Derivatives and Applications: MATH 151 K.2 Problems 9-15

Tangent lines to parametric equations and related rates examples

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15

Implicit differentiation and physics applications of derivatives

Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20

Derivatives of parametric equations and tangent lines

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9

Reviewing the chain rule and the derivatives and limits of trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29

Related rates problems, differentials, linear and quadratic approximations

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Review for Common Exam: MATH 151 Exam 3 Review Problems 22-24

Optimization problems

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30

Antiderivatives and physics applications

Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Differentials and Approximations: MATH 151 3.10 Problems 1-6

Differentials, linear approximations and quadratic approximations

Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Trigonometry Derivatives and the Chain Rule: MATH 151 3.3 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Trigonometry Derivatives and the Chain Rule: MATH 151 3.4 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Vectors and Derivatives: MATH 151 3.4 Problems 1-8

Derivatives and vectors with some physics applications

Implicit Differentiation: MATH 151 3.5 Problems 10-13

Implicit differentiation and finding tangent lines

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Vectors and Derivatives: MATH 151 3.7 Problems 1-8

Derivatives and vectors with some physics applications

Derivatives and Applications: MATH 151 3.9 Problems 9-15

Tangent lines to parametric equations and related rates examples

Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.2 Problems 1-6

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.3 Problems 1-6

Mean Value Theorem and properties of a graph

L'Hospital's Rule: MATH 151 4.4 Problem 1(a-h)

Using L'Hospital's Rule to solve limits

MLC WIR 20B M151 week3 #17

Using the graph of a function to sketch a graph of its derivative

MLC WIR 20B M151 week3 #21

Finding the derivative of a function using the limit definition

MLC WIR 20B M151 week3 #22

Finding the derivative of a function using the limit definition

MLC WIR 20B M151 week3 #23

Finding the derivative of a function using the limit definition

MLC WIR 20B M151 week4 #1ab

Differentiating functions using the Power Rule

MLC WIR 20B M151 week4 #1cd

Differentiating a function using the Power Rule

MLC WIR 20B M151 week4 #1e

Differentiating a function with an exponential function and using the Power Rule

MLC WIR 20B M151 week4 #1f

Using the Product Rule to differentiate a function

MLC WIR 20B M151 week4 #1g

Using the Quotient Rule to differentiate a function

MLC WIR 20B M151 week4 #1h

Using the Quotient Rule to differentiate a rational function

MLC WIR 20B M151 week4 #1i

Using the Product Rule to differentiate a function

MLC WIR 20B M151 week4 #1j

Using the Product and Quotient Rules to differentiate a function

MLC WIR 20B M151 week4 #2a

Using the Product Rule to find a first and second derivative

MLC WIR 20B M151 week4 #1kl

Using the Chain Rule to differentiate functions

MLC WIR 20B M151 week4 #1mn

Using the Chain Rule to differentiate functions with exponential and trigonometric functions

MLC WIR 20B M151 week4 #1o

Using the Chain Rule to differentiate a function containing trigonometric functions

MLC WIR 20B M151 week4 #2b

Using the Chain Rule to find a first and second derivative

MLC WIR 20B M151 week4 #3

Using the Chain Rule to evaluate the derivative of a composition of functions

MLC WIR 20B M151 week4 #4

Using the Chain Rule to evaluate the derivative of a composition of functions

MLC WIR 20B M151 week4 #5

Using the Chain Rule to find the pattern for a higher order derivative

MLC WIR 20B M151 week4 #6

Using the Chain Rule to find the pattern for a higher order derivative

MLC WIR 20B M151 week4 #7

Finding the derivatives of compositions of functions from their graphs

MLC WIR 20B M151 week5 #1a

Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #1b

Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #1c

Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #1d

Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #2

Finding the derivative using implicit differentiation

MLC WIR 20B M151 week5 #3a

Finding a tangent line to an curve defined implicitly

MLC WIR 20B M151 week5 #3b

Finding a tangent line to an curve defined implicitly

MLC WIR 20B M151 week5 #4ab

Finding the derivative of a function containing an inverse trigonometric function

MLC WIR 20B M151 week5 #4cd

Finding the derivative of a function containing an inverse trigonometric function

MLC WIR 20B M151 week5 #10

Finding the points on a parametric curve where the tangent line is horizontal or vertical

MLC WIR 20B M151 week5 #9a

Finding the tangent line to a parametric curve

MLC WIR 20B M151 week5 #9b

Finding the tangent line to a parametric curve

MLC WIR 20B M151 week6 #1ab

Using the Product and Chain Rule to find several derivatives

MLC WIR 20B M151 week6 #1cd

Using the Product, Quotient and Chain Rules to find several derivatives

MLC WIR 20B M151 week6 #1ef

Using the Quotient and Chain Rules to find several derivatives

MLC WIR 20B M151 week6 #12

Using the derivative to find the total distance traveled by a particle

MLC WIR 20B M151 week6 #13

Finding where the tangent line is horizontal or vertical for a parametric equation

MLC WIR 20B M151 week6 #14

Finding the equation of a tangent line to a parametric curve

MLC WIR 20B M151 week6 #15

Finding the equation of a tangent line to an implicit function

MLC WIR 20B M151 week6 #16

Solving for constants so that a piecewise function is differentiable everywhere

MLC WIR 20B M151 week6 #1kl

Differentiating functions with inverse trigonometric functions

MLC WIR 20B M151 week6 #2a

Finding the derivative of an implicit function

MLC WIR 20B M151 week6 #2b

Finding the derivative of an implicit function

MLC WIR 20B M151 week6 #5a

Using the Product Rule to find the derivative of a product of functions

MLC WIR 20B M151 week6 #5b

Using the Quotient Rule to find a derivative

MLC WIR 20B M151 week6 #5c

Using the Chain Rule to find the derivative of a composition of functions

MLC WIR 20B M151 week6 #6

Finding the second derivative of an exponential functino

MLC WIR 20B M151 week6 #7

Finding the speed of an object given a vector function for its position

MLC WIR 20B M151 week6 #8

Finding the point when the tangent line to a function has a particular slope

MLC WIR 20B M151 week6 #9

Finding where a function has horizontal tangent lines

MLC WIR 20B M151 week6 #10

Finding a higher order derivative of a function

MLC WIR 20B M151 week6 #11

Using a linear approximation to approximate the value of a function

MLC WIR 20B M151 week6 #17

Finding the linear approximation for a function

MLC WIR 20B M151 week7 #1a

Finding the absolute maximum and absolute minimum values of a function on a closed interval

MLC WIR 20B M151 week7 #1b

Finding the absolute maximum and absolute minimum values of a function on a closed interval

MLC WIR 20B M151 week7 #1c

Finding the absolute maximum and absolute minimum values of a function on a closed interval

MLC WIR 20B M151 week7 #4d

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week7 #4e

Evaluating a limit with an indeterminate product using L'Hospital's Rule

MLC WIR 20B M151 week7 #4f

Evaluating a limit with an indeterminant difference using L'Hospital's Rule

MLC WIR 20B M151 week7 #5

Using the first and second derivatives to sketch the graph of a function

MLC WIR 20B M151 week7 #3

Sketching a curve given information about the function and its derivatives

MLC WIR 20B M151 week7 #4a

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week7 #4b

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week7 #2a

Finding a number that satisfies the conclusion of the Mean Value Theorem on an interval

MLC WIR 20B M151 week8 #1

Solving a word problem minimizing area

MLC WIR 20B M151 week8 #2

Solving a word problem maximizing area

MLC WIR 20B M151 week8 #3

Finding the point on a line closest to a point

MLC WIR 20B M151 week8 #4a

Finding the antiderivative of a polynomial

MLC WIR 20B M151 week8 #4b

Finding the antiderivative of a polynomial

MLC WIR 20B M151 week8 #4c

Finding the antiderivative of a function

MLC WIR 20B M151 week8 #4d

Finding the antiderivative of a function

MLC WIR 20B M151 week8 #5a

Finding a function from its second derivative using antidifferentiation

MLC WIR 20B M151 week8 #5b

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week9 #1

Determining the properties of a function from the graph of its derivative

MLC WIR 20B M151 week9 #2

Using the derivative to determine where a function is increasing and decreasing

MLC WIR 20B M151 week9 #3

Finding the absolute maximum and minimum values of a function on a closed interval

MLC WIR 20B M151 week9 #4

Finding the intervals where a function is increasing and decreasing and its local maximums and minimums

MLC WIR 20B M151 week9 #5

Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

MLC WIR 20B M151 week9 #6

Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

MLC WIR 20B M151 week9 #7

Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

MLC WIR 20B M151 week9 #8a

Evaluating a limit using logarithm properties

MLC WIR 20B M151 week9 #8e

Evaluating a limit with an indeterminant product using L'Hospital's Rule

MLC WIR 20B M151 week9 #9

Finding a number that satisfies the conclusion of the Mean Value Theorem for a function on an interval

MLC WIR 20B M151 week9 #8f

Evaluating a limit with an indeterminant product using L'Hospital's Rule

MLC WIR 20B M151 week10 #19d

Using L'Hospital's Rule to solve a limit with an indeterminant power

MLC WIR 20B M151 week10 #10a

Finding the derivative of an implicit function

MLC WIR 20B M151 week10 #10b

Finding the derivative of an implicit function

MLC WIR 20B M151 week10 #12

Finding the tangent line to a parametric curve

MLC WIR 20B M151 week10 #13

Finding when the tangent line to a parametric curve is vertical or horizontal

MLC WIR 20B M151 week10 #15

Determining the rate that the area of a triangle is increasing based on the rate an angle is increasing

MLC WIR 20B M151 week10 #16

Using a linear approximation to estimate the value of a function

MLC WIR 20B M151 week10 #17

Finding the value for a function that satisfies the Mean Value Theorem on an interval

MLC WIR 20B M151 week10 #18

Determining the properties of a function from the graph of its derivative

MLC WIR 20B M151 week10 #19a

Using L'Hospital's Rule to solve a limit

MLC WIR 20B M151 week10 #23b

Evaluating an indefinite integral with powers of x and using arctangent

MLC WIR 20B M151 week10 #24b

Evaluating a definite integral by first simplifying the integrand

MLC WIR 20B M151 week10 #24c

Evaluating a definite integral with an exponential and sine function

MLC WIR 20B M151 week10 #24d

Using u-substitution to evaluate an indefinite integral

MLC WIR 20B M151 week10 #24e

Using u-substitution to evaluate an indefinite integral

MLC WIR 20B M151 week10 #6c

Using L'Hospital's Rule to evaluate a limit representing a derivative at a point

MLC WIR 20B M151 week10 #8e

Evaluating a limit at infinity by combining logarithms

MLC WIR 20B M151 week10 #9a

Finding a derivative using the Product Rule

Review for the Common Exam: MATH 152 Exam 1 b Review Problem 36

Review of partial fractions

Review for the Common Exam: MATH 152 Exam 3 b Review Problem 6

Review of estimating the sum of a series and the remainder

Review for the Common Exam: MATH 152 Exam 1 b Review Problems 29-33

Review of trigonometric substitution

Review for the Common Exam: MATH 152 Exam 3 b Review Problems 4 & 5

Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 10-13

Review of power series properties and writing functions as power series

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 13-18

Review of Taylor and Maclaurin Series and their properties

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 4 & 5

Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

WIR 20B M152 V88

Finding the length of a curve given by parametric equations

WIR 20B M152 V90

Finding the surface area of a rotated parametric curve

WIR 20B M152 V81

Finding the Taylor series of a function

WIR 20B M152 V82

Finding the Taylor series of a function

WIR 20B M152 V69

Determining if a series is absolutely convergent, conditionally convergent, or divergent. 

WIR 20B M152 V70

Determining if a series is absolutely convergent, conditionally convergent, or divergent. 

WIR 20B M152 V75

Finding the interval and radius of convergence for a power series

WIR 20B M152 V76

Finding a power series representation for a function

WIR 20B M152 V77

Finding a power series representation for a function

WIR 20B M152 V78

Evaluating an indefinite integral using a power series

Representations of Functions as Power Series: MATH 152 11.9 Problems 2 & 3

Finding power series representations for functions and the radius and interval of convergence of the power series

WIR 20B M152 V15

Finding the volume of a solid of revolution using the washer method

MATH 152: Volume Exercise 2

Using the disk method to find the volume of a rotational solid

WIR 20B M152 V17

Finding the volume of a solid of revolution using cylindrical shells

WIR 20B M152 V24

Evaluating an integral using integration by parts

WIR 20B M152 V25

Evaluating an integral using integration by parts

WIR 20B M152 V26

Evaluating an integral using integration by parts

WIR 20B M152 V22

Evaluating an integral using integration by parts

MATH 152: Integration by Parts Exercise 1

Solving an indefinite integral with an exponential function using integration by parts

MATH 152: Integration by Parts Exercise 3

Solving an indefinite integral with cosine using integration by parts

MATH 152: Integration by Parts Exercise 6

Solving an indefinite integral with arcsine using integration by parts

MATH 152: Integration by Parts Exercise 8

Solving an indefinite integral with an exponential function using integration by parts

MATH 152: Integration by Parts Exercise 9

Using integration by parts twice for an integral with sine and an exponential function

MATH 152: Trigonometric Integrals Exercise 1

Using trigonometric identities to solve an integral with powers of sine and cosine

MATH 152: Trigonometric Integrals Exercise 2

Using trigonometric identities to integrate a power of cosine

MATH 152: Trigonometric Integrals Exercise 3

Using a trigonometric identity to integrate powers of sine and cosine

MATH 152: Trigonometric Integrals Exercise 5

Using trigonometric identities to integrate even powers of sine and cosine

MATH 152: Trigonometric Integrals Exercise 6

Using a trigonometric identity to integrate an even power of cosine

MATH 152: Trigonometric Integrals Exercise 7

Using a trigonometric identity to integrate powers of secant and tangent

MATH 152: Trigonometric Integrals Exercise 8

Using a trigonometric identity to integrate powers of secant and tangent

MATH 152: Trigonometric Integrals Exercise 9

Using trigonometric identities to integrate powers of cosine and tangent

WIR 20B M152 V27

Evaluating an integral using trigonometric identities

WIR 20B M152 V28

Evaluating an integral using trigonometric identities

WIR 20B M152 V29

Evaluating an integral using trigonometric identities

WIR 20B M152 V30

Evaluating an integral using trigonometric identities

WIR 20B M152 V31

Evaluating an integral using trigonometric identities

WIR 20B M152 V4

Integrating a function with a square root using u-substitution

WIR 20B M152 V5

Integrating a function with sine using u-substitution

WIR 20B M152 V6

Integrating a function using u-substitution

WIR 20B M152 V1

Integrating an exponential function using u-substitution

MATH 152: u-Substitution Exercise 1

Using u-substitution to evaluate an indefinite integral

MATH 152: u-Substitution Exercise 4

Using u-substitution to evaluate a definite integral with a natural logarithm

MATH 152: u-Substitution Exercise 5

Using u-substitution to integrate an indefinite integral containing arcsine

MATH 152: u-Substitution Exercise 7

Using u-substitution for an indefinite integral that has the derivative of arctangent

MATH 152: u-Substitution Exercise 8

Using u-substitution to solve an indefinite integral with an exponential function

MATH 152: Partial Fraction Decomposition Exercise 1

Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 3

Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 5

Using partial fraction decomposition to rewrite and then integrate a rational function

WIR 20B M152 V31.5

Evaluating an integral using trigonometric substitution

WIR 20B M152 V32

Evaluating an integral using trigonometric substitution

WIR 20B M152 V33

Evaluating an integral using trigonometric substitution

MATH 152: Trigonometric Substitution Exercise 1

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 2

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 3

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 4

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 7

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Trigonometric Substitution Exercise 8

Using trigonometric substitution to evaluate an indefinite integral

MATH 152: Improper Integrals Exercise 2

Solving an improper integral where the upper limit of integration is infinity

MATH 152: Improper Integrals Exercise 4

Solving an improper integral where the upper limit of integration is infinity

MATH 152: Improper Integrals Exercise 6

Solving an improper integral where the upper limit of integration is infinity

Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3

Proving facts about the derivatives of vector functions including the product rule

Vectors and Derivatives: MATH 151 K.1 Problems 1-8

Derivatives and vectors with some physics applications

Derivatives and Applications: MATH 151 K.2 Problems 9-15

Tangent lines to parametric equations and related rates examples

Derivatives and Applications: MATH 171 Problems 7 & 8

Calculating slopes of tangent lines to parametric curves

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15

Implicit differentiation and physics applications of derivatives

Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20

Derivatives of parametric equations and tangent lines

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9

Reviewing the chain rule and the derivatives and limits of trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29

Related rates problems, differentials, linear and quadratic approximations

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

Review for Common Exam: MATH 151 Exam 3 Review Problems 22-24

Optimization problems

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30

Antiderivatives and physics applications

Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Inverse Trigonometric Functions: MATH 171 Problems 4-6

Properties of inverse trig functions and the derivative of arctangent

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Derivatives and Rates of Change: MATH 171 Problems 1-3

Using the limit definition to find derivatives of functions and vector functions

Differentiation Formulas: MATH 171 Problems 4 & 5

Using the limit definition to find a derivative and proving the power rule

Differentiation Formulas: MATH 171 Problems 6 & 7

Proving the Product Rule and the rule for the derivative of a difference of functions

Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Differentials: MATH 171 Problems 1 & 2

Proving facts about differentials including a product rule

Differentials and Approximations: MATH 151 3.10 Problems 1-6

Differentials, linear approximations and quadratic approximations

Higher Order Derivatives: MATH 171 Problems 4-6

Finding a formula for a higher order derivative and a formula for the second derivative of a product

Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Trigonometry Derivatives and the Chain Rule: MATH 151 3.3 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 1-3

Proving the derivatives of trigonometric functions and that sine is continuous

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 4 & 5

Using the Chain Rule to prove facts about derivatives

Exponentials and Hyperbolic Trigonometric Functions: MATH 171 Problems 3 & 4

Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

Approximation and Newton's Method, and limits and derivatives of exponential functions

Trigonometry Derivatives and the Chain Rule: MATH 151 3.4 Problems 1-9

Derivatives of trigonometric functions and using the Chain Rule

Vectors and Derivatives: MATH 151 3.4 Problems 1-8

Derivatives and vectors with some physics applications

Implicit Differentiation: MATH 151 3.5 Problems 10-13

Implicit differentiation and finding tangent lines

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Implicit Differentiation: MATH 171 Problems 6 & 7

Using implicit differentiation to solve a problem and to prove the power rule for rational exponents

Derivatives of Logarithmic Functions: MATH 171 Problems 7-9

Proving facts about logarithms and exponentials including the derivative of an exponential with an arbitrary base

Derivatives and Applications: MATH 151 3.9 Problems 9-15

Tangent lines to parametric equations and related rates examples

Absolute Extrema: MATH 171 Problems 4 & 5

Proving Fermat's Theorem and graphing local and absolute extrema

Mean Value Theorem: MATH 171 Problems 6-8

Using the Mean Value Theorem to prove facts about functions

Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.2 Problems 1-6

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.3 Problems 1-6

Mean Value Theorem and properties of a graph

Studying the Shape of Curves: MATH 171 Problems 1-3

What the derivatives of a function tell us about the shape of its graph

L'Hospital's Rule: MATH 151 4.4 Problem 1(a-h)

Using L'Hospital's Rule to solve limits

Optimization: MATH 171 Problems 1-3

Optimizing values in word problems

Fundamental Theorem of Calculus and u-Substitution: MATH 172 Problems 4-7

Proving the Fundamental Theorem of Calculus and examples of u Substitution

Review for the Common Exam: MATH 152 Exam 1 b Review Problem 36

Review of partial fractions

Review for the Common Exam: MATH 152 Exam 3 b Review Problem 6

Review of estimating the sum of a series and the remainder

Review for the Common Exam: MATH 152 Exam 1 b Review Problems 29-33

Review of trigonometric substitution

Review for the Common Exam: MATH 152 Exam 3 b Review Problems 4 & 5

Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 10-13

Review of power series properties and writing functions as power series

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 13-18

Review of Taylor and Maclaurin Series and their properties

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 4 & 5

Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Increasing, Decreasing, and Non Monotonic Sequences

Explaining increasing, decreasing, and non monotonic for sequences

Representations of Functions as Power Series: MATH 152 11.9 Problems 2 & 3

Finding power series representations for functions and the radius and interval of convergence of the power series

Proving Trigonometric Identities: MATH 172 Problems 3 & 4

Proving trigonometric identities useful for integration

Trigonometric Substitution: MATH 172 Problems 6 & 7

Integrating using a trigonometric substitution

WIR2 20B M251 V6

Determining the domain of a three-dimensional vector function

WIR2 20B M251 V8

Finding a vector equation for the tangent line to a three-dimensional vector function

WIR2 20B M251 V9

Finding the angle of intersection for two three-dimensional vector functions

WIR2 20B M251 V10

Finding the length of a three-dimensional curve

WIR2 20B M251 V11

Finding the curvature of a three-dimensional vector function

WIR3 20B M251 V1

Finding and sketching the domain of a function of two variables

WIR3 20B M251 V8

Finding the partial derivatives of a function of two variables

WIR4 20B M251 V9

Finding the absolute maximum and minimum values of a function of two variables on a rectangle

WIR4 20B M251 V10

Finding the absolute maximum and minimum values of a function of two variables on a triangular region

WIR8 20B M251 V1

Evaluating a line integral along half a circle

WIR8 20B M251 V2

Evaluating a line integral along a curve in space

WIR8 20B M251 V3

Evaluating a line integral along a curve

WIR8 20B M251 V4

Evaluating a line integral along a curve

WIR8 20B M251 V5

Evaluating a line integral along a curve in space

WIR8 20B M251 V6

Evaluating a line integral of a vector field along an curve

WIR8 20B M251 V7

Evaluating a line integral of a vector field along a curve in space

WIR8 20B M251 V8

Using a line integral to find the work done by a force field moving a particle along a curve

WIR8 20B M251 V10

Determining if a vector field is conservative and then finding a potential function

WIR8 20B M251 V11

Using the Fundamental Theorem of Line Integrals to evaluate a line integral of a vector field

WIR8 20B M251 V12

Using the Fundamental Theorem of Line Integrals to evaluate a line integral of a vector field

WIR8 20B M251 V13

Using the Fundamental Theorem of Line Integrals to evaluate a line integral of a vector field

WIR9 20B M251 V7

Finding the curl and divergence of a three dimensional vector field

Matrix Derivative and Integral

Explaining how to find the derivative and integral of matrix and vector functions

MATH 152: Sequences Exercise 4

Finding the limit of a sequence

Increasing, Decreasing, and Non Monotonic Sequences

Explaining increasing, decreasing, and non monotonic for sequences

MATH 152: Sequences Exercise 10

Determining if a sequence is increasing, decreasing, or non monotonic

WIR 20B M152 V48

Determining if a sequence is increasing, decreasing, or not monotonic and if it is bounded

The Chain Rule (multivariable) Conceptual V1

Explaining the Chain Rule for multivariable functions

The Chain Rule (multivariable) Exercise V3

Using the Chain Rule for multivariable functions to find the rate a volume is changing

Approximation Using Taylor Polynomials Exercise

Using a Taylor polynomial to approximate the value of a function and estimating the error

The Chain Rule (multivariable) Conceptual V1

Explaining the Chain Rule for multivariable functions

WIR4 20B M150 V21

Solving an equation with logarithmic functions

WIR4 20B M150 V22

Solving an equation with logarithmic functions

WIR4 20B M150 V23

Solving an equation with logarithmic functions

WIR4 20B M150 V24

Solving an equation with logarithmic functions

WIR8 20B M150 V11

Solving an equation with logarithmic functions

Math 140 Exam 3 Review Exercise 18

Using properties of logarithms to write an expression as a single logarithm

Math 140 Exam 3 Review Exercise 19

Writing logarithmic equations in exponential form

Math 140 Exam 3 Review Exercise 20

Solving equations with exponentials and logarithms

Math 140 Exam 3 Review Exercise 24

Find the domain of a function in interval notation with a fraction and logarithm

Math 140 Exam 3 Review Exercise 21

Solving equations with exponentials and logarithms

Math 140 Exam 3 Review Exercise 23

Solving equations with exponentials and logarithms

Composition of Logarithmic and Exponential Functions

Finding the composition of two functions with exponentials and logarithms

An Equation with an Exponential Function

Solving a equation with an exponential function

An Equation with Exponential Functions of Different Bases

Solving an equation with two exponential functions with different bases

Factoring a Quadratic-Like Equation with Exponentials

Solving an equation with exponential functions by factoring

Factoring an Equation with Exponentials

Solving a equation with exponential functions by factoring

Expanding a Logarithmic Expression

Expanding a logarithmic expression using logarithm properties

Condensing a Logarithmic Expression

Condensing logarithmic expressions into a single logarithm

Evaluating Logarithmic Expressions

Finding the exact value of logarithms using logarithmic properties

Vertical Asymptote of a Logarithmic Function

Finding the vertical asymptote of a logarithmic function

Vertical Asymptote of a Logarithmic Function (2)

Finding the vertical asymptote of a logarithmic function

Domain and x-intercepts of a Logarithmic Function

Finding the domain and x-intercepts of a logarithmic function

Domain and x-intercepts of a Logarithmic Function (2)

Finding the domain and x-intercepts of a logarithmic function

Solving an Equation with Logarithms

Solving a logarithmic equation using properties of logarithms

Solving an Equation with a Logarithmic Function

Solving a logarithmic equation using properties of logarithms

A Composition of Tangent and Arccosine

Evaluating a composition of tangent and arccosine

WIR 20B M152 V51

Determining if a series converges or diverges

WIR 20B M152 V56

Using the comparison test to determine if a series converges or diverges

WIR 20B M152 V57

Using the comparison test to determine if a series converges or diverges

WIR 20B M152 V63

Using the Alternating Series Test to determine if a series converges or diverges

Numerical Calculations in Python

Performing basic numerical calculations in Python

Parametric Plots and Tangents at a Given t-value in Python

Using Python to find the tangent line to a parametric equation and plot the two graphs

Tangents to Parametrized Curves at a Given Point in Python

Using Python to plot a parametrized curve and its tangent line at a point

Definite and Indefinite Integrals in Python

Solving definite and indefinite integrals in Python

Finding and Graphing Tangent Lines to a Curve in Python

Using Python to find the equation of the tangent line to a curve and graphing the result

Finding Derivatives in Python

Finding derivatives in Python and solving for the rate of change of a force

Finding Horizontal Tangent Lines in Python

Finding when the tangent line to a function is horizontal in Python

Finding Intervals of Increase/Decrease and Concavity in Python

Using Python to find the intervals where a function is increasing or decreasing

List Comprehension and Patterns in Higher Derivatives in Python

Using Python's list comprehension tool to find several higher order derivatives of a function at once

Domain Restrictions

Explaining domain restrictions for denominators, even roots, and logarithms

Domain of Logarithmic Functions Video 1

Finding the domain of a logarithmic function

Domain of Combinations of Functions Video 1

Finding the domain of a function with a denominator, square root, and logarithm

Domain of Combinations of Functions Video 2

Finding the domain of a function with a natural logarithm and denominator

Domain of Combinations of Functions Video 4

Finding the domain of a function with a root and a logarithm in the denominator

Solving Power and Exponential Equations Video 1

Explaining how to solve equations with power and exponential terms

Solving Power and Exponential Equations Video 2

Solving equations with exponential terms

Solving Power and Exponential Equations Video 3

Solving equations with base e exponential terms

Properties of Logarithmic Functions and Expressions Video 1

Explaining the terminology and rules of logarithms

Properties of Logarithmic Functions and Expressions Video 2

Explaining the basic properties of logarithmic functions

Properties of Logarithmic Functions and Expressions Video 3

Expanding logarithmic expressions using logarithm rules

Properties of Logarithmic Functions and Expressions Video 4

Condensing a logarithmic expression into a single logarithm

Solving Logarithmic Equations Video 1

Explaining how to solve logarithmic equations

Solving Logarithmic Equations Video 2

Solving logarithmic equations with a single logarithm term

Solving Logarithmic Equations Video 3

Solving logarithmic equations with multiple logarithm terms

Solving Logarithmic Equations Video 4

Solving logarithmic equations with multiple logarithm terms on both sides

Properties of Logarithmic Functions and Expressions Video 1

Explaining the terminology and rules of logarithms

Properties of Logarithmic Functions and Expressions Video 2

Explaining the basic properties of logarithmic functions

Introduction to Riemann Sums

Estimating the area under a function using right-hand, left-hand, and midpoint Riemann sums

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35

Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions