Using the Generalized Power Rule
Finding the derivative of a function using the Generalized Power Rule
tags:
Chain Rule Derivative Exponential Function Generalized Exponential Rule Generalized Power Rule How-To CalculusUsing the Chain Rule with a Table
Author: ShaNisaa RaSun
The following problem is solved in this video. It is recommended that you try to solve the problem before watching the video. You can click "Answer" to reveal the answer to the problem.
Problem:
Various values of \(f(x),\ g(x),\ f'(x),\) and \(g'(x)\) are given in the table below. Use the information in the table below to answer each of the following.
| \(x\) | \(f(x)\) | \(g(x)\) | \(f'(x)\) | \(g'(x)\) |
| 1 | 2 | 1 | 3 | 4 |
| 2 | 3 | 4 | 1 | 2 |
| 3 | 1 | 3 | 3 | 3 |
| 4 | 3 | 2 | 5 | 2 |
- If \(V(x)=e^{(f(x))^2},\) find \(V'(4).\)
- If \(C(x)=g(x^3-5),\) find \(C'(2).\)
- \(V'(4) = 30e^9\)
- \(C'(2)=36\)
See more videos from this section
Related Videos
Using the Generalized Exponential Rule
Using the Generalized Exponential Rule to find the derivative of a function
Calculating the Rate of Growth With Compound Interest
Finding the rate a balance is increasing for interest compounded monthly and continuously
Using the Alternate Form of the Chain Rule
Using the alternate form of the Chain Rule to find the derivative
Finding a Derivative with Exponential Functions and Logarithms
Finding the derivative a function with a power, exponential, and logarithm
The Quotient Rule with an Exponential
Finding the derivative of a fraction with an exponential using the Quotient Rule
Using the Product Rule with an Exponential
Finding the derivative of a function with a square root and exponential using the Product 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 Implicit Differentiation to Find a Derivative 2
Using implicit differentiation to find the derivative of a function
Derivatives of Exponential Functions
Explaining the formulas for the derivatives of exponential functions
Derivatives of Exponential Functions Example 1
Calculating the derivative of a function with exponentials using the chain and product rule
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 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 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
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
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
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
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 week5 #1c
Finding the derivative using implicit differentiation
MLC WIR 20B M151 week4 #6
Using the Chain Rule to find the pattern for a higher order derivative
MLC WIR 20B M151 week5 #7c
Using logarithmic differentiation to find the derivative of a function
MLC WIR 20B M151 week5 #7a
Using logarithmic differentiation to find the derivative of a function
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 #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 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 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 week10 #9c
Finding a derivative using the Chain Rule and Product Rule
Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7
Derivatives of exponential functions and the exponential model
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 15-19
Mean Value Theorem and using derivatives to find the shape of curves
Approximations and Exponentials: MATH 151 2.6 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
Approximations and Exponentials: MATH 151 3.4 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Differentiation and Applications: MATH 151 Problems 1-8
Derivatives of exponential and logarithmic functions and the exponential model
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
Derivatives of Exponential Functions
Explaining the formulas for the derivatives of exponential functions
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
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
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
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 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 the Product and Quotient Rules with a Table
Finding a derivative using the Product and Quotient Rule and values given in a table
Using Logarithmic Differentiation to Find a Derivative
Finding the derivative of a function that requires logarithmic differentiation
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
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 an Indefinite Integral
Evaluating an indefinite integral with an exponential
Finding an Indefinite Integral with a Fraction
Solving an indefinite integral by first simplifying the fraction
Finding a Function from its Derivative and One Value
Solving for a function given its derivate and one value
u-Substitution With a Quotient and Exponentials
Solving an indefinite integral with exponentials in a quotient using u-substitution
u-Substitution With an Exponential Function
Solving an indefinite integral with an exponential function suing u-substitution
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
Higher Derivatives Example 2
Using derivatives to find the velocity and acceleration functions from the position function
Vectors and Derivatives: MATH 151 K.1 Problems 1-8
Derivatives and vectors with some physics applications
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 Common Exam: MATH 151 Exam 3 Review Problems 25-30
Antiderivatives and physics applications
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 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
Vectors and Derivatives: MATH 151 3.7 Problems 1-8
Derivatives and vectors with some physics applications
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 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 #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 #1kl
Using the Chain Rule to differentiate functions
MLC WIR 20B M151 week5 #7b
Using logarithmic differentiation to find the derivative of a function
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 #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 #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 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 #1o
Using the Chain Rule to differentiate a function containing trigonometric functions
MLC WIR 20B M151 week6 #4b
Using logarithmic differentiation to find the derivative of a function
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 #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 #3
Using the chain rule to find a derivative
MLC WIR 20B M151 week6 #17
Finding the linear approximation for a function
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 #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 #4b
Evaluating a limit using L'Hospital's Rule
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 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 #8f
Evaluating a limit with an indeterminant product using L'Hospital's Rule
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 week10 #10b
Finding the derivative of an implicit function
MLC WIR 20B M151 week10 #11
Using logarithmic differentiation to find the derivative of a function
MLC WIR 20B M151 week10 #19d
Using L'Hospital's Rule to solve a limit with an indeterminant power
MLC WIR 20B M151 week10 #9b
Finding a derivative using the Chain Rule multiple times
WIR 20B M152 V88
Finding the length of a curve given by parametric equations
WIR 20B M152 V81
Finding the Taylor series of a function
WIR 20B M152 V83
Finding the Taylor polynomial of a function
WIR 20B M152 V70
Determining if a series is absolutely convergent, conditionally convergent, or divergent.
Vectors and Derivatives: MATH 151 K.1 Problems 1-8
Derivatives and vectors with some physics applications
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 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 Common Exam: MATH 151 Exam 3 Review Problems 25-30
Antiderivatives and physics applications
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
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 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
Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 4 & 5
Using the Chain Rule to prove facts about derivatives
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 of Logarithmic Functions: MATH 171 Problems 1-3
Proving the derivative of ln(x) and the power and product rules using logarithmic differentiation
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
WIR3 20B M251 V9
Finding the partial derivatives of a function of two variables
WIR8 20B M251 V4
Evaluating a line integral along a curve
WIR8 20B M251 V5
Evaluating a line integral along a curve in space
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 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
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
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 Function with a Square Root and Logarithm
Determining where a function with a fraction, square root, and logarithm 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
Finding Marginal Cost and Marginal Average Cost
Finding the derivative of both the cost function and average cost function
Using the Quotient Rule on a Rational Function
Finding the derivative of a rational function using the Quotient Rule
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
Finding the Cost Function from Marginal Cost
Solving the antiderivative of marginal cost to find the cost function and evaluating a particular cost
Finding an Antiderivative
Finding the antiderivative of a function
u-Substitution With a Natural Logarithm
Solving an indefinite integral with a natural logarithm 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
Calculating Profit From Marginal Profit Using u-Substitution
Calculating profit from marginal profit using an indefinite integral and u-substitution
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
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
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
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 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 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
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 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 Common Exam: MATH 151 Exam 3 Review Problems 22-24
Optimization problems
Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12
Properties and derivatives of inverse trigonometric 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
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
Derivatives and Applications: MATH 151 3.9 Problems 9-15
Tangent lines to parametric equations and related rates examples
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 151 4.4 Problem 1(a-h)
Using L'Hospital's Rule to solve limits
Integration by Substitution: MATH 151 5.5 Problems 13 & 14
Examples of integration by substitution
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 #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 #1ab
Differentiating functions using the Power Rule
MLC WIR 20B M151 week4 #1cd
Differentiating a function using the Power Rule
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 #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 #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 #4a
Using logarithmic differentiation to find the derivative of a function
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 #11
Using a linear approximation to approximate the value of 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 #2a
Finding a number that satisfies the conclusion of the Mean Value Theorem on an interval
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 #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 #5
Using the first and second derivatives to sketch the graph of a function
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 #5b
Antidifferentiating twice to find a function from its second derivative
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 #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 #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 #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 #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 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 #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 #6c
Using L'Hospital's Rule to evaluate a limit representing a derivative at a point
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 #9a
Finding a derivative using the Product Rule
MLC WIR 20B M151 week10 #9d
Finding a derivative using the Quotient Rule
MLC WIR 20B M151 week10 #10a
Finding the derivative of an implicit function
MLC WIR 20B M151 week10 #24c
Evaluating a definite integral with an exponential and sine function
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 13-18
Review of Taylor and Maclaurin Series and their properties
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 19 & 20
Review of Taylor Polynomials and Taylor's Inequality
WIR 20B M152 V90
Finding the surface area of a rotated parametric curve
WIR 20B M152 V96
Finding the area of a region defined using polar coordinates
WIR 20B M152 V82
Finding the Taylor series of a function
Taylor and Maclaurin Series: MATH 152 11.10 Problems 4-10
Finding Taylor and Maclaurin Series for functions
WIR 20B M152 V76
Finding a power series representation for a function
WIR 20B M152 V10
Finding the area of a region bounded by curves
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 2
Solving a definite integral with an exponential function 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
WIR 20B M152 V22
Evaluating an integral using integration by parts
WIR 20B M152 V26
Evaluating an integral using integration by parts
WIR 20B M152 V1
Integrating an exponential function using u-substitution
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 8
Using u-substitution to solve an indefinite integral with an exponential function
WIR 20B M152 V43
Using the comparison test to determine if an improper integral converges or diverges
Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3
Proving facts about the derivatives of vector functions including the product rule
Derivatives and Applications: MATH 171 Problems 7 & 8
Calculating slopes of tangent lines to parametric curves
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 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 Common Exam: MATH 151 Exam 3 Review Problems 22-24
Optimization problems
Inverse Trigonometric Functions: MATH 171 Problems 4-6
Properties of inverse trig functions and the derivative of arctangent
Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12
Properties and derivatives of inverse trigonometric 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
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 171 Problems 1-3
Proving the derivatives of trigonometric functions and that sine is continuous
Implicit Differentiation: MATH 171 Problems 6 & 7
Using implicit differentiation to solve a problem and to prove the power rule for rational exponents
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
Derivatives and Applications: MATH 151 3.9 Problems 9-15
Tangent lines to parametric equations and related rates examples
Studying the Shape of Curves: MATH 151 4.1 Problems 2-7
Using derivatives to find properties of graphs
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
Studying the Shape of Curves: MATH 171 Problems 1-3
What the derivatives of a function tell us about the shape of its graph
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
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
Antiderivatives: MATH 171 Problems 4-6
Proving facts about antiderivatives and a physics application
Fundamental Theorem of Calculus: MATH 171 Problems 1-3
Proving and then applying the Fundamental Theorem of Calculus
Integration by Substitution: MATH 151 5.5 Problems 13 & 14
Examples of integration by substitution
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 13-18
Review of Taylor and Maclaurin Series and their properties
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 19 & 20
Review of Taylor Polynomials and Taylor's Inequality
Increasing, Decreasing, and Non Monotonic Sequences
Explaining increasing, decreasing, and non monotonic for sequences
Taylor and Maclaurin Series: MATH 152 11.10 Problems 4-10
Finding Taylor and Maclaurin Series for functions
Integration by Parts: MATH 172 Problems 1 & 2
Proving the formula for integration by parts and a reduction formula
WIR2 20B M251 V7
Finding the limit 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 V8
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
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
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 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 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
WIR9 20B M251 V5
Finding the curl and divergence of a three dimensional vector field
WIR10 20B M251 V4
Evaluating a surface integral of a vector field
MATH 308 WIR22A V15
Solving an initial value problem including air resistance for the path of a thrown ball to determine the maximum height it reaches
Matrix Derivative and Integral
Explaining how to find the derivative and integral of matrix and vector functions
Scalar-Valued IVP
Showing how the exponential function is the solution to an initial value problem
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
MATH 152: Sequences Exercise 4
Finding the limit of a sequence
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
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
Finding the nth Taylor Polynomial Exercise
Finding the nth Taylor polynomial of the natural log function centered at 1
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
Math 140 5.4 Exercise 3
Rewriting a function with a fractional exponent in radical form
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 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 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
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
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 V53
Determining if a series converges or diverges and find the sum if it converges
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
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
Approximating Definite Integrals with Riemann Sums in Python
Using Python to approximate a definite integral using left endpoint Riemann sums
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 of Combinations of Functions Video 4
Finding the domain of a function with a root and a logarithm in the 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
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 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 1
Explaining the terminology and rules of logarithms
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