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An Equation with an Exponential Function

Solving a equation with an exponential function

An Equation with Exponential Functions of Different Bases

Solving an equation with two exponential functions with different bases

Factoring a Quadratic-Like Equation with Exponentials

Solving an equation with exponential functions by factoring

Factoring an Equation with Exponentials

Solving a equation with exponential functions by factoring

Expanding a Logarithmic Expression

Expanding a logarithmic expression using logarithm properties

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

MATH 140 5.8 Exercise 12

Solving an equation an exponential function

MATH 140 5.8 Exercise 4

Evaluating a logarithm inside an exponential function

MATH 140 5.8 Exercise 5

Expressing a combination of logarithms as a single logarithm

MATH 140 5.8 Exercise 7

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

MATH 140 5.8 Exercise 1

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

MATH 140 5.8 Exercise 2

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

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

Using Log Properties to Simplify Before Taking the Derivative

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

Using Log Properties to Simplify Before Taking the Derivative 2

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

Using Logarithmic Differentiation to Find a Derivative

Finding the derivative of a function that requires logarithmic differentiation

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

Double-Log Plot Example 1

Using logarithms to transform a power function into a linear function

Semilog Plot Example 1

Using logarithms to transform an exponential function to a linear function

WIR4 20B M150 V6

Simplifying logarithmic expressions using the properties of logarithms

WIR4 20B M150 V7

Determining the properties of a logarithmic function

WIR4 20B M150 V8

Determining the graph of a logarithmic function

WIR4 20B M150 V9

Determining the properties of a logarithmic function

WIR4 20B M150 V10

Determining the graph of a logarithmic function

WIR4 20B M150 V11

Using the properties of logarithms to expand a logarithmic expression

WIR4 20B M150 V12

Using the properties of logarithms to expand a logarithmic expression

WIR4 20B M150 V13

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

WIR4 20B M150 V14

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

WIR4 20B M150 V15

Using the formula to change the base of a logarithm

WIR4 20B M150 V16

Using the formula to change the base of a logarithm

MLC WIR 20B M151 week5 #7a

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week5 #7b

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week5 #7c

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week6 #4a

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week6 #4b

Using logarithmic differentiation to find the derivative of a function

MLC WIR 20B M151 week7 #4c

Evaluating a limit using L'Hospital's Rule

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 week9 #8a

Evaluating a limit using logarithm properties

MLC WIR 20B M151 week10 #8e

Evaluating a limit at infinity by combining logarithms

MLC WIR 20B M151 week10 #11

Using logarithmic differentiation to find the derivative of a function

WIR 20B M152 V77

Finding a power series representation for a function

MATH 152: Improper Integrals Exercise 6

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

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

WIR 20B M152 V48

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

MATH 152: Sequences Exercise 6

Finding the limit of a sequence using logarithm properties

WIR4 20B M150 V21

Solving an equation with logarithmic functions

WIR4 20B M150 V22

Solving an equation with logarithmic functions

WIR4 20B M150 V23

Solving an equation with logarithmic functions

WIR4 20B M150 V24

Solving an equation with logarithmic functions

WIR8 20B M150 V11

Solving an equation with logarithmic functions

Math 140 Exam 3 Review Exercise 18

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

Math 140 Exam 3 Review Exercise 19

Writing logarithmic equations in exponential form

Math 140 Exam 3 Review Exercise 20

Solving equations with exponentials and logarithms

Math 140 Exam 3 Review Exercise 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

Domain of Combinations of Functions Video 4

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

Solving Power and Exponential Equations Video 1

Explaining how to solve equations with power and exponential terms

Solving Power and Exponential Equations Video 2

Solving equations with exponential terms

Solving Power and Exponential Equations Video 3

Solving equations with base e exponential terms

Properties of Logarithmic Functions and Expressions Video 1

Explaining the terminology and rules of logarithms

Properties of Logarithmic Functions and Expressions Video 2

Explaining the basic properties of logarithmic functions

Properties of Logarithmic Functions and Expressions Video 3

Expanding logarithmic expressions using logarithm rules

Properties of Logarithmic Functions and Expressions Video 4

Condensing a logarithmic expression into a single logarithm

Solving Logarithmic Equations Video 1

Explaining how to solve logarithmic equations

Solving Logarithmic Equations Video 2

Solving logarithmic equations with a single logarithm term

Solving Logarithmic Equations Video 3

Solving logarithmic equations with multiple logarithm terms

Solving Logarithmic Equations Video 4

Solving logarithmic equations with multiple logarithm terms on both sides

Properties of Logarithmic Functions and Expressions Video 1

Explaining the terminology and rules of logarithms

Properties of Logarithmic Functions and Expressions Video 2

Explaining the basic properties of logarithmic functions

Derivatives of Exponential Functions

Explaining the formulas for the derivatives of exponential functions

MATH 140 5.8 Exercise 9

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

MATH 140 5.8 Exercise 10

Finding the domain of a function containing several logarithms

MATH 140 5.8 Exercise 11

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

Continuity of a Function with a Square Root and Logarithm

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

Finding a Derivative with Exponential Functions and Logarithms

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

Using the Product Rule with a Logarithm

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

Using Both the Quotient and Product Rule

Finding a derivative using both the Product and Quotient Rule

Using the Alternate Form of the Chain Rule

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

Using the Generalized Exponential Rule

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

Finding an Antiderivative

Finding the antiderivative of a function

Finding an Indefinite Integral with a Fraction

Solving an indefinite integral by first simplifying the fraction

u-Substitution With a Natural Logarithm

Solving an indefinite integral with a natural logarithm using 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

Derivatives of Exponential Functions Example 2

Calculating a derivative of a quotient with an exponential function

Definition of a Double-Log Plot

Explaining the definition of logarithmic scale and double-log plots

Definition of a Semilog Plot

Explaining the logarithmic scale and a semilog plot

Double-Log Plot Example 2

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

Semilog Plot Example 2

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

Optimization Example 2

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

WIR4 20B M150 V17

Solving an equation with an exponential function

WIR4 20B M150 V18

Solving an equation with an exponential function

WIR4 20B M150 V19

Solving an equation with an exponential function

WIR4 20B M150 V20

Solving an equation with exponential functions by factoring

WIR4 20B M150 V25

Modeling a population size with an exponential function

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

Derivatives of exponential functions and the exponential model

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

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

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 3.8 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

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

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

Using Reimann sums and the Fundamental Theorem of Calculus

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

Using Riemann sums and the Fundamental Theorem of Calculus

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

MLC WIR 20B M151 week5 #4ef

Finding the derivative of a function containing a logarithmic function

MLC WIR 20B M151 week5 #4ghi

Finding the derivatives of functions containing logarithms

MLC WIR 20B M151 week5 #5

Finding the derivative of a function containing a logarithms

MLC WIR 20B M151 week5 #6

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

MLC WIR 20B M151 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 #3

Using the chain rule to find a derivative

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 week8 #5c

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #5d

Antidifferentiating to find a function from its derivative

MLC WIR 20B M151 week8 #5e

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #5f

Antidifferentiating twice to find a function from its second derivative

MLC WIR 20B M151 week8 #6

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

MLC WIR 20B M151 week9 #8c

Evaluating a limit using L'Hospital's Rule

MLC WIR 20B M151 week9 #8d

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

MLC WIR 20B M151 week10 #9c

Finding a derivative using the Chain Rule and Product Rule

MLC WIR 20B M151 week10 #9d

Finding a derivative using the Quotient Rule

MLC WIR 20B M151 week10 #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 #23a

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

MLC WIR 20B M151 week10 #24b

Evaluating a definite integral by first simplifying the integrand

MLC WIR 20B M151 week10 #24c

Evaluating a definite integral with an exponential and sine function

MLC WIR 20B M151 week10 #24e

Using u-substitution to evaluate an indefinite integral

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

Review of estimating the sum of a series and the remainder

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

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

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

Review of power series properties and writing functions as power series

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

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

WIR 20B M152 V69

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

WIR 20B M152 V75

Finding the interval and radius of convergence for a power series

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

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

WIR 20B M152 V15

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

WIR 20B M152 V17

Finding the volume of a solid of revolution using cylindrical shells

WIR 20B M152 V23

Evaluating an integral using integration by parts

MATH 152: Integration by Parts Exercise 4

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

MATH 152: Integration by Parts Exercise 5

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

MATH 152: u-Substitution Exercise 4

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

WIR 20B M152 V2

Integrating a rational function using u-substitution

WIR 20B M152 V3

Integrating a rational function using u-substitution

WIR 20B M152 V34

Evaluating an integral using integration by parts

WIR 20B M152 V35

Evaluating an integral using integration by parts

WIR 20B M152 V35.5

Evaluating an integral using integration by parts

MATH 152: Improper Integrals Exercise 2

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

MATH 152: Improper Integrals Exercise 4

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

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

Derivatives of exponential functions and the exponential model

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

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

Differentiation and Applications: MATH 151 Problems 1-8

Derivatives of exponential and logarithmic functions and the exponential model

Derivatives of Logarithmic Functions: MATH 171 Problems 1-3

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

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

Using derivatives to find properties of graphs

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

Using derivatives to find properties of graphs

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

Using L'Hospital's Rule to solve limits

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

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

Integration by Substitution: MATH 171 Problems 4-6

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

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

Review of estimating the sum of a series and the remainder

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

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

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

Review of power series properties and writing functions as power series

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

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

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

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

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

WIR2 20B M251 V6

Determining the domain of a three-dimensional vector function

WIR2 20B M251 V12

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

WIR3 20B M251 V1

Finding and sketching the domain of a function of two variables

WIR3 20B M251 V8

Finding the partial derivatives of a function of two variables

WIR 20B M152 V45

Determining if a sequence converges or diverges

MATH 152: Sequences Exercise 7

Finding the limit of a sequence

Finding the nth Taylor Polynomial Exercise

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

Math 140 Exam 3 Review Exercise 24

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

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 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 Difference of Two Squares

Factoring a difference of two squares

Factoring a Sum and Difference of Cubes

Factoring a sum of cubes and a difference of cubes

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 Polynomial

Finding the roots of a cubic polynomial

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

Composition of Polynomial Functions

Finding the composition of two functions

Function Composition with a Rational Function

Finding the composition of a rational function and a quadratic

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

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

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 Polynomial

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

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

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

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

Math 152: Series Exercise 7

Finding the sum of a telescoping series using logarithm properties

WIR 20B M152 V56

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

WIR 20B M152 V57

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

Numerical Calculations in Python

Performing basic numerical calculations in Python

Domain Restrictions

Explaining domain restrictions for denominators, even roots, and logarithms

Domain of Logarithmic Functions Video 1

Finding the domain of a logarithmic function

Domain of Combinations of Functions Video 1

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

Domain of Combinations of Functions Video 2

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