Virtual Math Learning Center

Related Videos

Function Composition with a Rational Function

Finding the composition of a rational function and a quadratic

Composition of Logarithmic and Exponential Functions

Finding the composition of two functions with exponentials and logarithms

Composition of Square Root and Power Functions

Finding the composition of two functions with a square root and a fractional exponent

Composition of Cube Root and Power Functions

Finding the composition of two functions with a cube root and a fractional exponent

MATH 140 5.2 Exercise 1

Determining if functions are polynomials and finding their properties

WIR3 20B M150 V18

Finding combinations of functions and their domains

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

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

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

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

Math 140 Exam 3 Review Exercise 2

test

Factoring a Quadratic

Factoring a quadratic polynomial

Factoring a Quadratic (2)

Factoring a quadratic function

Factoring by Grouping

Factoring a cubic polynomial by grouping

Factoring Out the Greatest Common Factor

Finding the greatest common factor of a polynomial and then factoring it out

Factoring a Quadratic: Leading Coefficient is 1

Factoring a quadratic where the leading coefficient is 1

Factoring a Quadratic: Leading Coefficient is Not 1

Factoring quadratics where the leading coefficient is not 1

Factoring by Grouping (2)

Factoring several polynomials by grouping

Factoring a Sum and Difference of Cubes

Factoring a sum of cubes and a difference of cubes

Roots of a Polynomial

Finding the roots of a cubic polynomial

Inverse of a Linear Function

Finding the inverse of a linear function and its domain

Inverse of a Square Root Function

Finding the inverse of a square root function and its domain

Inverse of a Rational Function

Finding the inverse of a rational function and its domain

Inverse of a Rational Function (2)

Finding the inverse of a rational function and its domain

Solving an Inequality with a Polynomial

Solving an inequality with a polynomial by factoring and using a sign diagram

MATH 140 5.1 Exercise 2

Determining the domain and range of a relation and if the relation is a function

MATH 140 5.1 Exercise 3

Determining the domain and range of a relation and if the relation is a function

MATH 140 5.1 Exercise 4

Determining the domain and range of a relation and if the relation is a function

MATH 140 5.1 Exercise 5

Using a graph to find specific values of a function

MATH 140 5.1 Exercise 6

Finding function values and expressions given the rule or equation of the function

MATH 140 5.2 Exercise 2

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 3

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 4

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 5

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.2 Exercise 6

Determining the end behavior, real zeros, domain, and y-intercept for a polynomial

MATH 140 5.7 Exercise 8

Evaluating compositions of two given functions and the graph of a third function

MATH 140 5.7 Exercise 1

Identifying the parent function and transformations for a given graph

MATH 140 5.3 Exercise 10

Finding the difference quotient for a quadratic function

Finding the Derivative of a Polynomial Using the Limit Definition

Using the limit definition to find the derivative of a polynomial

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

Intermediate Value Theorem and Bisection Method Example

Using the Intermediate Value Theorem and Bisection Method to approximate the solution of an equation

Derivatives of Exponential Functions Example 1

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

The Substitution Rule

Explanation of the rule for \(u\)-substitution

WIR1 20B M150 V15

Factoring a polynomial

WIR8 20B M150 V02

Factoring a quadratic

WIR1 20B M150 V16

Dividing rational expressions and simplifying

WIR1 20B M150 V17

Subtracting rational expressions and simplifying

WIR1 20B M150 V18

Performing operations with rational expressions and simplifying

WIR8 20B M150 V04

Performing operations with rational expressions and simplifying

WIR2 20B M150 V6

Solving a polynomial equation using factoring by grouping

WIR2 20B M150 V8

Determining if an equation represents a function

WIR2 20B M150 V9

Evaluating a piecewise function

WIR2 20B M150 V10

Finding the domains of functions

WIR8 20B M150 V03

Finding the domains of expressions

WIR2 20B M150 V13

Identifying the parent function and transformations of a function

WIR2 20B M150 V14

Identifying the parent function and transformations of a function

WIR3 20B M150 V4

Finding the end behavior of a polynomial

WIR3 20B M150 V5

Finding the end behavior of a polynomial

WIR3 20B M150 V6

Finding the end behavior of a polynomial

WIR3 20B M150 V7

Finding properties of a polynomial including zeros and end behavior

WIR3 20B M150 V8

Finding properties of a polynomial including zeros and end behavior

WIR3 20B M150 V9

Finding properties of a polynomial including zeros and end behavior

WIR3 20B M150 V10

Using properties of a polynomial to find its graph

WIR3 20B M150 V11

Calculating polynomial long division

WIR3 20B M150 V15

Solving a nonlinear inequality

WIR3 20B M150 V19

Graphically verifying if two functions are inverses

WIR3 20B M150 V20

Restricting the domain of a function so it is one-to-one and has an inverse

WIR3 20B M150 V21

Determining algebraically the inverse of a function

WIR3 20B M150 V22

Determining algebraically the inverse of a function

WIR3 20B M150 V23

Determining algebraically the inverse of a function

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

WIR8 20B M150 V10

Determining properties of an exponential function

WIR6 20B M150 V04

Evaluating compositions with inverse trigonometric functions

WIR6 20B M150 V05

Evaluating compositions with inverse trigonometric functions

WIR6 20B M150 V06

Writing an equivalent algebraic expression for compositions with inverse trigonometric functions containing variables

WIR8 20B M150 V12

Evaluating a composition of trigonometric and inverse trigonometric functions

WIR2 20B M150 V11

Using a graph to evaluate a function

WIR2 20B M150 V12

Determining if a function is even or odd

Parametric Curves: MATH 151 J.3 Problems 1-5

Cartesian equations and parametric equations of curves

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 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 15-19

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

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

Antiderivatives and physics applications

Limits: MATH 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating Limits of Functions

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

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

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

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

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

Vectors and Derivatives: MATH 151 3.4 Problems 1-8

Derivatives and vectors with some physics applications

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

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

Vectors and Derivatives: MATH 151 3.7 Problems 1-8

Derivatives and vectors with some physics applications

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

Riemann Sums: MATH 151 5.1 Problems 1-5

Riemann sums, including approximating areas under curves.

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

Using Reimann sums and the Fundamental Theorem of Calculus

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

Using Riemann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

MLC WIR 20B M151 week4 #1ab

Differentiating functions using the Power Rule

MLC WIR 20B M151 week4 #1cd

Differentiating a function using the Power Rule

MLC WIR 20B M151 week4 #1e

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

MLC WIR 20B M151 week4 #1f

Using the Product Rule to differentiate a function

MLC WIR 20B M151 week4 #1h

Using the Quotient Rule to differentiate a rational function

MLC WIR 20B M151 week4 #1i

Using the Product Rule to differentiate a function

MLC WIR 20B M151 week4 #1j

Using the Product and Quotient Rules to differentiate a function

MLC WIR 20B M151 week4 #2a

Using the Product Rule to find a first and second derivative

MLC WIR 20B M151 week4 #1kl

Using the Chain Rule to differentiate functions

MLC WIR 20B M151 week6 #5c

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

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 #5a

Finding a function from its second derivative using antidifferentiation

MLC WIR 20B M151 week8 #5d

Antidifferentiating to find a function from its 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 #10e

Antidifferentiating twice to find a function from its second d

MLC WIR 20B M151 week9 #10f

Antidifferentiating twice to find a function from its second d

MLC WIR 20B M151 week10 #24a

Evaluating a definite integral containing a polynomial

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

Review for the Common Exam: MATH 152 Exam 1 Review Problems 11-14

Review of work and average value

The Substitution Rule

Explanation of the rule for \(u\)-substitution

Parametric Curves: MATH 151 J.3 Problems 1-5

Cartesian equations and parametric equations of curves

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

Derivatives and vectors with some physics applications

Derivatives and Applications: MATH 171 Problems 7 & 8

Calculating slopes of tangent lines to parametric curves

Review for the Common Exam: MATH 151 Exam 2 Review Problems 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 15-19

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

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

Antiderivatives and physics applications

Limits: MATH 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating Limits of Functions

Continuity: MATH 171 Problems 6 & 7

Proving a piecewise function and a polynomial are continuous

Continuity: MATH 171 Problems 8 & 9

Proving a product of continuous functions is continuous and using the Intermediate Value Theorem

Approximations and Exponentials: MATH 151 2.6 Problems 7-14

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

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

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

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

Vectors and Derivatives: MATH 151 3.4 Problems 1-8

Derivatives and vectors with some physics applications

Approximations and Exponentials: MATH 151 3.4 Problems 7-14

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

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

Using the Chain Rule to prove facts about derivatives

Implicit Differentiation: MATH 171 Problems 6 & 7

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

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: MATH 171 Problems 6-8

Using the Mean Value Theorem to prove facts about functions

Mean Value Theorem and Studying the Shape of Curves: MATH 151 4.3 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

Riemann Sums: MATH 151 5.1 Problems 1-5

Riemann sums, including approximating areas under curves.

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

Using Reimann sums and the Fundamental Theorem of Calculus

Definite Integrals: MATH 171 Problems 5-9

The definition and properties of definite integrals

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

Using Riemann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

Review for the Common Exam: MATH 152 Exam 1 Review Problems 11-14

Review of work and average value

The Substitution Rule

Explanation of the rule for \(u\)-substitution

Work and Average Value: MATH 152 Problems 1-9

Using integrals to solve work problems and find the average value

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

The Substitution Rule

Explanation of the rule for \(u\)-substitution

Math 304 Section 3.3 Exercise 8

Determining whether polynomials are linearly independent

Math 304 Section 3.4 Exercise 4

Showing that a set of polynomials forms a basis for all polynomials with degree two or less

Math 140 Exam 3 Review Exercise 1

Determining if a graph represents a function and finding the domain and range

Math 140 Exam 3 Review Exercise 10

Finding properties of a polynomial function such as the degree, end behavior, y-intercept, etc.

Math 140 Exam 3 Review Exercise 11

Finding properties of a polynomial function such as the degree, end behavior, y-intercept, etc.

Equation of a Line Given Two Points

Writing the equation of a line passing through two points

Slope-Intercept Form of an Equation for a Line

Writing the equation of a line through two points in slope-intercept form

Standard Form of an Equation for a Line

Writing the equation of a graphed line in standard form

Factoring a Difference of Two Squares

Factoring a difference of two squares

Simplifying a Rational Expression

Simplifying a rational expression

Subtracting Rational Expressions

Adding and then simplifying two rational expressions

Multiplying Rational Expressions

Multiplying two rational expressions and then simplifying

Dividing Rational Expressions

Dividing rational expressions and then simplifying the answer

Adding Rational Expressions

Adding two rational expressions and then simplifying the answer

Holes and Asymptotes of Rational Functions

Finding any holes, vertical asymptotes, and horizontal asymptotes of a rational function

Holes and Asymptotes of Rational Functions (2)

Finding any holes, vertical asymptotes, and horizontal asymptotes of a rational function

Matching a Rational Function with its Graph

Matching a rational function with its graph

Roots of a Quadratic

Using the quadratic formula to find the roots of a function

Roots of a Square Root Function

Finding the roots of a square root function

Roots of a Function with an Absolute Value

Finding the roots of a function with an absolute value

Domain of a Rational Function

Finding the domain of a rational function

Domain of a Rational Function (2)

Finding the domain of a rational function

Domain of Function with Roots

Finding the domain of a function with a fraction and radicals

Domain of a Square Root Function

Finding the domain of a function with a quadratic inside a square root

Difference Quotient of a Quadratic

Finding and simplifying the difference quotient for a quadratic function

Difference Quotient of a Rational Function

Finding and simplifying the difference quotient for a rational function

Difference Quotient of a Square Root Function

Finding and simplifying the difference quotient for a square root function

Solving an Inequality with a Rational Function

Solving an inequality with a rational expression by factoring and using a sign diagram

Solving an Inequality with a Sum of Rational Functions

Solving an inequality with two rational expressions using a sign diagram

Solving an Inequality with by Finding a Least Common Denominator

Solving an inequality with a rational expression using a sign diagram

Solving an Inequality with a Quadratic Function

Solving an inequality with a quadratic by factoring and using a sign diagram

Absolute Maximum or Minimum of a Quadratic

Finding the absolute maximum or absolute minimum of a quadratic

Standard Form of a Quadratic

Writing the standard form of quadratic function given its vertex and one other point

Component Form and Magnitude of a Vector

Finding the component form and magnitude for a vector between two points

Vector Addition and Subtraction and Scalar Multiplication

Performing calculations with vectors including addition, subtraction, and scalar multiplication

Dot Product

Calculating the dot product for three pairs of vectors

Finding a Unit Vector

Finding a unit vector in the direction of a given vector

Solving a System of Equations

Solving a system of two linear equations using the method of substitution

Solving a System of Equations (2)

Solving a system of two linear equations using the method of substitution

Solving a System of Equations (3)

Solving a system of two linear equations

Solving a System of Nonlinear Equations

Solving a system on two equations where one is linear and one is quadratic

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

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

Evaluating All Six Trigonometric Functions

Finding the values of all six trigonometric functions of an angle given a right triangle

Evaluating the Other Trigonometric Functions Given Sine

Evaluating the other five trigonometric functions for an acute angle given the value of sine

Evaluating the Other Trigonometric Functions Given Sine (2)

Evaluating the other five trigonometric functions given sine and that tangent is negative

Solving an Equation with Tangent

Finding the solutions to an equation with tangent in a given interval

Solving an Equation with Sine and Cosine

Solving a trigonometric equation with sine and cosine on a given interval

Factoring a Quadratic-Like Equation with Sine

Solving an quadratic-like equation with sine by factoring

Solving an Equation with Cosine

Solving an equation with cosine on a given interval

Solving an Equation with Sine

Solving a trigonometric equation with sine on a given interval

Sketching One Period of a Sine Function

Sketching one period of a transformed sine graph

Sketching One Period of a Cosine Function

Sketching one period of a cosine function with transformations

Properties of a Sine Function

Finding the amplitude, period, phase shift, and vertical shift for a given sine function

Find the Cosine Function for a Graph

Writing a cosine function for a given graph

Creating and Manipulating Symbolic Expressions in Python

Creating symbolic expression in Python and then factoring, expanding, and simplifying the expressions

Plotting Multiple Expressions in One Graph in Python

Graphing a piecewise function using Python

Domain Restrictions

Explaining domain restrictions for denominators, even roots, and logarithms

Domain of Combinations of Functions Video 3

Finding the domain of a function with a square root in the denominator

Quadratic Equations Video 2

Solving quadratic equations with the difference of two squares formula

Properties of Rational Functions and Expressions Video 2

Finding horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 4

Finding horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 5

Determining the end behavior and horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 3

Explaining how to do polynomial long division

The Substitution Rule

Explanation of the rule for \(u\)-substitution

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