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Related Videos

Domain of Rational Functions Video 4

Finding the domain of a rational function using factoring

Properties of Rational Functions and Expressions Video 1

Discussing parent functions of rational functions and their properties

MATH 140 WIR 8 Pr 1

Finding the domain, intercepts, asymptotes, and holes of a rational function

MATH 140 WIR 8 Pr 2

Finding the domain, intercepts, asymptotes, and holes of a rational function

MATH 140 WIR 8 Pr 3

Finding the domain, intercepts, asymptotes, and holes of a rational function

WIR3 20B M150 V13

Determining the properties of a rational function and graphing it

WIR8 20B M150 V09

Determining the properties of a rational function and graphing it

Domain of Combinations of Functions Video 1

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

Domain of Rational Functions Video 1

Finding the domain of several rational functions

Domain of Rational Functions Video 2

Finding the domain of a rational function

Properties of Logarithmic Functions and Expressions Video 2

Explaining the basic properties of logarithmic functions

Properties of Rational Functions and Expressions Video 9

Explaining how to multiply and divide rational expressions

Properties of Rational Functions and Expressions Video 10

Performing algebraic operations with rational expressions and simplifying the answer

Solving Rational Equations Video 1

Solving equations that contain rational expressions

Solving Rational Equations Video 2

Solving an equation that contains rational expressions

Solving Rational Equations Video 3

Solving an equation that contains rational expressions

MATH 140 5.5 #1

Finding the domain of a piecewise function and evaluating it

Continuity of Functions: MATH 142

Determining where functions are continuous

Analyzing Functions (More Curve Sketching): MATH 142

Using Information From the Derivative to Sketch a Graph

WIR2 20B M150 V7

Solving a rational equation and checking the solutions

WIR8 20B M150 V03

Finding the domains of expressions

WIR8 20B M150 V10

Determining properties of an exponential function

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

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

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

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Limits: MATH 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating Limits of Functions

Continuity: MATH 151 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity and asymptotes, along with physics applications

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity, asymptotes, and tangent lines

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

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

Using derivatives to find properties of graphs

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

Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 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 week3 #16

Finding the vertical and horizontal asymptotes for a rational function

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25

Review of limits, continuity, and the Intermediate Value Theorem

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

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

Limits: MATH 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating limits of functions and using the Squeeze Theorem

Continuity: MATH 151 Problems 1-6

Continuity of Functions and the Intermediate Value Theorem

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity and asymptotes, along with physics applications

Limits and Asymptotes: MATH 151 Problems 7-11

Limits at infinity, asymptotes, and tangent lines

Inverse Trigonometric Functions: MATH 151 Problems 9-12

Properties and derivatives of inverse trigonometric functions

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

Using derivatives to find properties of graphs

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

Mean Value Theorem and properties of a graph

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

WIR2 20B M251 V6

Determining the domain of a three-dimensional vector function

Domain of Combinations of Functions Video 2

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

Domain of Combinations of Functions Video 4

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

Domain of Logarithmic Functions Video 1

Finding the domain of a logarithmic function

Domain of Radical Functions Video 1

Finding the domain of even and odd roots

Domain of Radical Functions Video 2

Finding the domain of functions with even and odd roots

Domain Restrictions

Explaining domain restrictions for denominators, even roots, and logarithms

Linear Forms Video 2

Discussing properties of linear functions

Linear Graphs Video 1

Discussing the types of linear graphs including horizontal and vertical lines and their properties

Quadratic Form Video 1

Explaining the graph and properties for the parent function of quadratics

Quadratic Form Video 2

Discussing properties of quadratic functions including the vertex, domain, range, and end behavior

Properties of Radical Functions and Expressions Video 1

Explaining the general properties of even and odd root functions

Solving Radical Equations Video 1

Explaining how to solve radical equations and then solving example problems

Solving Radical Equations Video 2

Solving equations with even roots and checking the solutions

Solving Radical Equations Video 3

Solving equations with odd radicals

Solving Radical Equations Video 4

Solving equations with multiple radicals

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

Properties of Logarithmic Functions and Expressions Video 3

Expanding logarithmic expressions using logarithm rules

Properties of Logarithmic Functions and Expressions Video 4

Condensing a logarithmic expression into a single logarithm

Solving Logarithmic Equations Video 1

Explaining how to solve logarithmic equations

Solving Logarithmic Equations Video 2

Solving logarithmic equations with a single logarithm term

Solving Logarithmic Equations Video 3

Solving logarithmic equations with multiple logarithm terms

Solving Logarithmic Equations Video 4

Solving logarithmic equations with multiple logarithm terms on both sides

Properties of Rational Functions and Expressions Video 7

How to simplify rational expressions

Properties of Rational Functions and Expressions Video 8

Adding and subtracting rational expressions by finding a common denominator

Properties of Rational Functions and Expressions Video 2

Finding horizontal asymptotes for rational functions

Properties of Rational Functions and Expressions Video 3

Explaining how to do polynomial long division

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

MATH 140 WIR7 #2a

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

MATH 140 WIR7 #2b

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

MATH 140 WIR7 #2c

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

MATH 140 WIR7 #6a

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

MATH 140 WIR7 #6b

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

MATH 140 WIR7 #6c

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

MATH 140 WIR7 #6d

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

MATH 140 WIR7 #6e

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

MATH 140 5.5 #2

Finding the piecewise-defined function for a given graph along with its domain and range

MATH 140 5.6 #1a

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

MATH 140 5.6 #1b

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

MATH 140 5.6 #1c

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

MATH 140 5.6 #2a

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

MATH 140 5.6 #2b

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

MATH 140 5.6 #2c

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

MATH 140 WIR 8 Pr 4

Adding and simplifying rational functions

MATH 140 WIR 8 Pr 5

Subtracting rational functions and then simplifying the result

MATH 140 WIR 8 Pr 6

Multiplying two rational functions and simplifying the result

MATH 140 WIR 8 Pr 7

Dividing rational functions and simplifying the result

MATH 140 WIR 8 Pr 8

Dividing and subtraction rational functions and simplifying the result

MATH 140 WIR 8 Pr 9

Computing and simplifying the difference quotient for a rational function

Calculus Exam Review (Limits and Continuity/Differentiability): MATH 142

Review of limits, continuity, and differentiability

Calculus Exam Review (Limits and Continuity/Differentiability II): MATH 142

Review of limits at infinity and continuity of functions

Calculus Exam Review (Limits at Infinity with Exponentials): MATH 142

Examples of calculating infinite limits with exponentials in a rational function

Calculus Exam Review (Derivative Rules): MATH 142

Review of derivative rules such as product, quotient, and chain rule

Calculus Exam Review (Absolute Extrema): MATH 142

Absolute extrema on closed intervals

Solving Limits of Rational Functions: MATH 142

Factoring rational functions to solve limits

Limits at Infinity: MATH 142

Limits at infinity of rational functions

Continuity of Functions II: MATH 142

Determining where functions are continuous

Product, Quotient, and Chain Rules: MATH 142

Examples of Product, Quotient, and Chain Rule

Product, Quotient, and Chain Rules: MATH 142

Examples of Product, Quotient, and Chain Rule

Analyzing Functions IV (Concavity, Inflection Points, Sketching a Graph): MATH 142

Determining concavity and inflection points and sketching the graph

Analyzing Functions (Sketching a Graph): MATH 142

Using the Derivative to Sketch the Graph of a Function

Absolute Extrema on Closed Intervals: MATH 142

Using Critical Values to Find Absolute Extrema on Closed Intervals

Absolute Extrema on Arbitrary Intervals: MATH 142

Finding Absolute Extrema on Open Intervals

Area Between Curves: MATH 142

Solving examples finding the area between curves

More Area Between Curves: MATH 142

Finding the area between two curves

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 V10

Finding the domains of functions

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

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 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

WIR7 20B M150 V13

Calculating the difference quotient for a rational function

WIR8 20B M150 V15

Calculating the difference quotient for a rational function

WIR2 20B M150 V11

Using a graph to evaluate a function

Parametric Curves: MATH 151 Problems 1-5

Cartesian equations and parametric equations of curves

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

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

Differentials and Approximations: MATH 151 Problems 1-6

Differentials, linear approximations 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

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

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

Using Reimann sums and the Fundamental Theorem of Calculus

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

Using Reimann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

MLC WIR 20B M151 week4 #1h

Using the Quotient Rule to differentiate a rational function

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 week9 #8a

Evaluating a limit using logarithm properties

MLC WIR 20B M151 week9 #8b

Evaluating a limit with an indeterminate difference using a common denominator

MLC WIR 20B M151 week9 #10b

Finding the antiderivative of a rational function

MLC WIR 20B M151 week10 #6a

Evaluating a a limit from the left for a rational function

MLC WIR 20B M151 week10 #6b

Evaluating the limit of a rational function by factoring and cancelling

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 #8a

Evaluating the limit at infinity of a rational function

MLC WIR 20B M151 week10 #24b

Evaluating a definite integral by first simplifying the integrand

Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4

Reviewing u-Substitution

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

Review of partial fractions

Review for the Common Exam: MATH 152 Exam 1 Review Problems 34 & 35

Review of partial fractions

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

Integration by Partial Fractions: MATH 152 Problem 11

Using the method of partial fractions to integrate rational functions

Integration by Partial Fractions: MATH 152 Problems 12 & 13

Using the method of partial fractions to integrate rational functions

Improper Integrals: MATH 152 Problems 4 & 5

Determining divergence or convergence of improper integrals

WIR 20B M152 V2

Integrating a rational function using u-substitution

WIR 20B M152 V3

Integrating a rational function using u-substitution

MATH 152: u-Substitution Exercise 3

Using u-substitution to integrate a rational function

Cases for Partial Fraction Decomposition

Explaining all four cases of partial fraction decomposition

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 2

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

MATH 152: Partial Fraction Decomposition Exercise 6

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

Vector Functions: MATH 171 Problems 1 & 2

Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel

Parametric Curves: MATH 151 Problems 1-5

Cartesian equations and parametric equations of curves

Vectors and Derivatives: MATH 171 Problems 1-3

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

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

Inverse Trigonometric Functions: MATH 171 Problems 4-6

Properties of inverse trig functions and the derivative of arctangent

Continuity: MATH 171 Problems 6 & 7

Proving a piecewise function and a polynomial are continuous

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

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

The Derivative as a Function: MATH 171 Problems 1-3

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

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

Differentials and Approximations: MATH 151 Problems 1-6

Differentials, linear approximations, and quadratic approximations

Higher Order Derivatives: MATH 171 Problems 4-6

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

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

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

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

Inverse Trigonometric Functions: MATH 171 Problems 4-6

Properties of inverse trig functions and the derivative of arctangent

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

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

Using Reimann sums and the Fundamental Theorem of Calculus

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

Using Reimann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4

Reviewing u-Substitution

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

Review of partial fractions

Review for the Common Exam: MATH 152 Exam 1 Review Problems 34 & 35

Review of partial fractions

Integration by Substitution: MATH 151 Problems 13 & 14

Examples of integration by substitution

Integration by Partial Fractions: MATH 152 Problem 11

Using the method of partial fractions to integrate rational functions

Integration by Partial Fractions: MATH 152 Problems 12 & 13

Using the method of partial fractions to integrate rational functions

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

Improper Integrals: MATH 152 Problems 4 & 5

Determining divergence or convergence of improper integrals

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 V2

Finding and sketching the domain of a function of two variables

Creating and Manipulating Symbolic Expressions in Python

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

Splitting a Domain Into Two Pieces for a Double Integral

Evaluating a double integral over a given region by splitting it into two double integrals

Domain of Combinations of Functions Video 3

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

Linear Forms Video 1

Explaining the main three forms for linear equations

Making Linear Functions Video 1

Discussing how to write the equation of a line through two given points

Making Linear Functions Video 2

Writing a linear equation of profit from a business word problem

Solving Linear Equations Algebraically Video 1

Solving a linear equation algebraically and showing how this relates to the graph

Solving Linear Equations Algebraically Video 2

Solving a linear equation algebraically

Solving Linear Equations Algebraically Video 3

Solving a linear equation algebraically and showing how this relates to the graph

Systems of Two Linear Equations in Two Variables Video 1

Explaining the format and possible solutions for a system of two linear equations

Systems of Two Linear Equations in Two Variables Video 2

Solving a system of linear equations with two variables

Systems of Two Linear Equations in Two Variables Video 3

Solving a system of two linear equations with two variables using the elimination method

Systems of Two Linear Equations in Two Variables Video 4

Solving a system of two linear equations using a TI-84 calculator

Systems of Two Linear Equations in Two Variables Video 5

Solving a system of two linear equations using a TI-84 calculator

Systems of Two Linear Equations in Two Variables Video 6

Solving a system of two linear equations using a TI-84 calculator

Quadratic Equations Video 1

Explaining the standard form for a quadratic equation and the possible number of solutions

Quadratic Equations Video 2

Solving quadratic equations with the difference of two squares formula

Quadratic Equations Video 3

Solving quadratic equations by factoring

Quadratic Equations Video 4

Solving a quadratic equation by factoring

Quadratic Equations Video 5

Solving a quadratic equation by factoring

Quadratic Equations Video 6

Solving quadratic equations with the quadratic formula and discussing the number of possible solutions

Quadratic Equations Video 7

Explaining when a quadratic equation does not have a real solution

Properties of Radical Functions and Expressions Video 2

How to rewrite radical terms as power terms

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 8

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 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

Solving Power and Exponential Equations Video 2

Solving equations with exponential terms

Solving Power and Exponential Equations Video 3

Solving equations with base e exponential terms

Properties of Logarithmic Functions and Expressions Video 1

Explaining the terminology and rules of logarithms

Properties of Rational Functions and Expressions Video 6

Explaining basic algebraic operations for fractions

Functions of Several Variables Exercise V1

Evaluating and then finding and sketching the domain of a function of two variables

Functions of Several Variables Exercise V2

Finding and sketching the domain of a function of two variables

Functions of Several Variables Exercise V4

Sketching the level curves for a function of two variables

Functions of Several Variables Exercise V5

Sketching the level curves for a function of two variables

Cases for Partial Fraction Decomposition

Explaining all four cases of partial fraction decomposition

Systems of Two Linear Equations in Two Variables Video 1

Explaining the format and possible solutions for a system of two linear equations