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Related Videos

Finding an Antiderivative

Finding the antiderivative of a function

Finding an Indefinite Integral

Evaluating an indefinite integral with an exponential

Finding the Function from Its Derivative Using u-Substitution

Using u-substitution in an indefinite integral to find a function from its derivative and a given vaue

Finding a Derivative with Exponential Functions and Logarithms

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

Using the Generalized Exponential Rule

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

Using the Alternate Form of the Chain Rule

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

u-Substitution With an Exponential Function

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

u-Substitution With a Natural Logarithm

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

u-Substitution With a Quotient and Exponentials

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

Calculating Profit From Marginal Profit Using u-Substitution

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

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

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

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

MATH 140 5.8 Exercise 4

Evaluating a logarithm inside an exponential 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 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

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

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

Continuity of a Function with a Square Root and Logarithm

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

Using the Product Rule with a Logarithm

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

Using the Product Rule with an Exponential

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

The Quotient Rule with an Exponential

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

Using Both the Quotient and Product Rule

Finding a derivative using both the Product and Quotient Rule

Using the Generalized Power Rule

Finding the derivative of a function using the Generalized Power 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 the Chain Rule with a Table

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

Using Logarithmic Differentiation to Find a Derivative

Finding the derivative of a function that requires logarithmic differentiation

Using Implicit Differentiation to Find a Derivative 2

Using implicit differentiation to find the derivative of a function

Finding a Function from its Derivative and One Value

Solving for a function given its derivate and one value

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 a Quotient and a Root

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

Derivatives of Exponential Functions Example 2

Calculating a derivative of a quotient with an exponential function

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

Definition of a Semilog Plot

Explaining the logarithmic scale and a semilog 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

Optimization Example 2

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

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

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

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

Using L'Hospital's Rule to solve 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

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 #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 #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 week8 #5b

Antidifferentiating twice to find a function from its second derivative

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 #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 week10 #23a

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

MLC WIR 20B M151 week10 #24c

Evaluating a definite integral with an exponential and sine function

MLC WIR 20B M151 week10 #9c

Finding a derivative using the Chain Rule and Product Rule

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

Review of Taylor and Maclaurin Series and their properties

WIR 20B M152 V26

Evaluating an integral 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: Integration by Parts Exercise 1

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

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 V22

Evaluating an integral using integration by parts

WIR 20B M152 V23

Evaluating an integral using integration by parts

MATH 152: u-Substitution Exercise 8

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

WIR 20B M152 V1

Integrating an exponential function using u-substitution

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 7-9

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

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

Using L'Hospital's Rule to solve limits

Antiderivatives: MATH 171 Problems 4-6

Proving facts about antiderivatives and a physics application

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 171 Problems 4-6

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

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

Review of Taylor and Maclaurin Series and their properties

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

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 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 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

Numerical Calculations in Python

Performing basic numerical calculations in Python

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

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

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

MATH 140 5.6 Exercise 1

Finding the properties of an exponential function including domain, range, end behavior, and intercepts

MATH 140 5.6 Exercise 2

Finding the properties of an exponential function including domain, range, end behavior, and intercepts

MATH 140 5.6 Exercise 3

Finding the properties of an exponential function including domain, range, end behavior, and intercepts

MATH 140 5.6 Exercise 4

Finding the domain of a function that is a fraction containing an exponential and root

MATH 140 5.6 Exercise 5

Finding the domain of a function that is a fraction containing an exponential and root

MATH 140 5.6 Exercise 6

Finding the domain of a function that is a fraction containing exponentials and a square root

MATH 140 5.6 Exercise 7

Solving an equation with exponential functions

MATH 140 5.6 Exercise 8

Solving an equation with exponential functions

MATH 140 5.6 Exercise 9

Calculating how much to invest with continuously compounded interest

MATH 140 5.7 Exercise 2

Identifying the parent function and transformations for a given graph

MATH 140 5.7 Exercise 5

Identifying the parent function and transformations in order for a given function

MATH 140 5.8 Exercise 10

Finding the domain of a function containing several logarithms

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 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

Vertical Asymptotes and Holes of a Rational Function

Finding the holes and vertical asymptotes of a rational function

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

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

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

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

Using the Product and Quotient Rules with a Table

Finding a derivative using the Product and Quotient Rule and 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

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

Using Implicit Differentiation to Find a Derivative

Using implicit differentiation to find the derivative of a function

Finding Critical Values

Finding the critical values for several functions

Finding Where a Function is Increasing and Decreasing

Determining the intervals where a function is increasing and decreasing

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

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

Local and Absolute Extrema from a Graph

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

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

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

Derivatives of Exponential Functions Example 1

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

Exponential Growth and Decay in Discrete Time

Explaining exponential functions in discrete time

Exponential Growth in Discrete Time Example

Solving a population example of exponential growth in discrete time

Recursions Example

Solving a population grown example on recurrence equations

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

Definition of a Double-Log Plot

Explaining the definition of logarithmic scale and double-log plots

WIR4 20B M150 V1

Determining properties of an exponential function

WIR4 20B M150 V2

Determining properties of an exponential function

WIR4 20B M150 V3

Determining properties of an exponential function

WIR4 20B M150 V4

Identifying the graph of an exponential function

WIR4 20B M150 V5

Solving an equation with an exponential function

WIR8 20B M150 V10

Determining properties of an exponential function

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

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 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions

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

Antiderivatives and physics applications

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

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

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

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

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

Using derivatives to find properties of graphs

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 151 Problems 2-7

Using derivatives to find properties of graphs

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 #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 #1mn

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

MLC WIR 20B M151 week4 #2b

Using the Chain Rule to find a first and second derivative

MLC WIR 20B M151 week4 #6

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

MLC WIR 20B M151 week5 #1c

Finding the derivative using implicit differentiation

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 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 #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 #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 week7 #2b

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

MLC WIR 20B M151 week7 #4c

Evaluating a limit using L'Hospital's Rule

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 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 week9 #8f

Evaluating a limit with an indeterminant product 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 #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 week9 #8a

Evaluating a limit using logarithm properties

MLC WIR 20B M151 week10 #9d

Finding a derivative using the Quotient Rule

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

MLC WIR 20B M151 week10 #19d

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

MLC WIR 20B M151 week10 #8c

Evaluating the limit at infinity of a fraction with exponential functions

MLC WIR 20B M151 week10 #8d

Evaluating the limit at negative infinity of a fraction with exponential functions

MLC WIR 20B M151 week10 #8e

Evaluating a limit at infinity by combining logarithms

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 #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

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 2 b Review Problems 8 & 9

Review of improper integrals and the Comparison Theorem

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 19 & 20

Review of Taylor Polynomials and Taylor's Inequality

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 V96

Finding the area of a region defined using polar coordinates

Taylor and Maclaurin Series: MATH 152 11.10 Problems 4-10

Finding Taylor and Maclaurin Series for functions

WIR 20B M152 V83

Finding the Taylor polynomial 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 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 V10

Finding the area of a region bounded by curves

MATH 152: Volume Exercise 2

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

WIR 20B M152 V15

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

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

MATH 152: Integration by Parts Exercise 6

Solving an indefinite integral with arcsine using integration by parts

MATH 152: Integration by Parts Exercise 2

Solving a definite 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

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

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 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

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 6

Using u-substitution on an indefinite integral with an exponential function, sine, and cosine

MATH 152: u-Substitution Exercise 7

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

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

WIR 20B M152 V43

Using the comparison test to determine if an improper integral converges or diverges

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 25-30

Antiderivatives and physics applications

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

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

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

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

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

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

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 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

Fundamental Theorem of Calculus: MATH 171 Problems 1-3

Proving and then applying the Fundamental Theorem of Calculus

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 2 b Review Problems 8 & 9

Review of improper integrals and the Comparison Theorem

Review for the Common Exam: MATH 152 Exam 3 c Review Problems 19 & 20

Review of Taylor Polynomials and Taylor's Inequality

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

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

Taylor and Maclaurin Series: MATH 152 11.10 Problems 4-10

Finding Taylor and Maclaurin Series for functions

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

Integration by Parts: MATH 172 Problems 1 & 2

Proving the formula for integration by parts and a reduction formula

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 V7

Finding the limit 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

WIR3 20B M251 V9

Finding the partial derivatives of a function of two variables

WIR3 20B M251 V11

Finding all second-order partial derivatives of a function of two variables

WIR5 20B M251 V7

Evaluating a double integral over a given region

WIR5 20B M251 V10

Evaluating a double integral by reversing the order of integration

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 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 V5

Finding the curl and divergence of a three dimensional vector field

WIR9 20B M251 V7

Finding the curl and divergence of a three dimensional vector field

WIR10 20B M251 V4

Evaluating a surface integral of a vector field

Scalar-Valued IVP

Showing how the exponential function is the solution to an initial value problem

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

WIR 20B M152 V45

Determining if a sequence converges or diverges

WIR 20B M152 V48

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

Finding the nth Taylor Polynomial Exercise

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

Math 140 5.4 Exercise 3

Rewriting a function with a fractional exponent in radical form

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 13

Stating the domain in interval notation of a function with radicals, fractions, and exponentials

Math 140 Exam 3 Review Exercise 17

Calculating continuously compounded interest for money in an account

Math 140 Exam 3 Review Exercise 18

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

Population Model with Exponential Growth

Finding the size of a population of rabbits with exponential growth

Population Model with Exponential Decay

Finding the size of a population of rabbits with exponential decay

Horizontal Asymptote of an Exponential Function

Finding the horizontal asymptote of an exponential function

Horizontal Asymptote of an Exponential Function (2)

Finding the horizontal asymptote of an exponential function

Horizontal Asymptote of an Exponential Function (3)

Finding the horizontal asymptote of an exponential function

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 V53

Determining if a series converges or diverges and find the sum if it converges

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 V58

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

WIR 20B M152 V59

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

Approximating Definite Integrals with Riemann Sums in Python

Using Python to approximate a definite integral using left endpoint Riemann sums

Definite and Indefinite Integrals in Python

Solving definite and indefinite integrals in Python

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

Properties of Radical Functions and Expressions Video 2

How to rewrite radical terms as power terms

Properties of Power and Exponential Expressions Video 1

Properties of exponents applied to power and exponential expressions

Properties of Power and Exponential Expressions Video 2

Properties of multiplying and simplifying power and exponential expressions

Properties of Power and Exponential Expressions Video 3

Properties of exponents applied to power and exponential expressions

Properties of Power and Exponential Expressions Video 6

Simplifying power and exponential expressions using properties of exponents

Properties of Power and Exponential Expressions Video 7

Simplifying power and exponential expressions using properties of exponents

Properties of Power and Exponential Expressions Video 9

Simplifying an expression with both power and exponential functions using properties of exponents

Properties of Power and Exponential Expressions Video 4

Properties of exponential growth and decay functions

Properties of Power and Exponential Expressions Video 5

Properties of the exponential function with base e

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

Properties of Power and Exponential Expressions Video 1

Properties of exponents applied to power and exponential expressions

Properties of Power and Exponential Expressions Video 2

Properties of multiplying and simplifying power and exponential expressions

Properties of Power and Exponential Expressions Video 3

Properties of exponents applied to power and exponential expressions

Properties of Power and Exponential Expressions Video 4

Properties of exponential growth and decay functions

Properties of Power and Exponential Expressions Video 5

Properties of the exponential function with base e

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 3 Review Problems 8-15

Review of limits and derivatives of inverse trigonometric functions