Higher Order Derivatives: MATH 171 Problems 4-6Finding a formula for a higher order derivative and a formula for the second derivative of a product

Calculus Exam Review (Derivative Rules): MATH 142Review of derivative rules such as product, quotient, and chain rule

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19Mean Value Theorem and using derivatives to find the shape of curves

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

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

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19Mean Value Theorem and using derivatives to find the shape of curves

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

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

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20Derivatives of parametric equations and tangent lines

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7Derivatives of exponential functions and the exponential model

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Derivatives of Logarithmic Functions: MATH 171 Problems 1-3Proving the derivative of ln(x) and the power and product rules using logarithmic differentiation

Differentiation and Applications: MATH 151 Problems 1-8Derivatives of exponential and logarithmic functions and the exponential model

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 2 Review Problems 16-20Derivatives of parametric equations and tangent lines

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7Derivatives of exponential functions and the exponential model

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Differentiation and Applications: MATH 151 Problems 1-8Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 Problems 1-8Derivatives of exponential and logarithmic functions and the exponential model

Combining Derivative Rules and Finding Tangent Lines: MATH 142Finding derivatives and tangent lines of complicated functions

Derivatives Involving Exponentials and Logarithms: MATH 142Examples of differentiating exponential and logarithmic functions

Analyzing Functions IV (Concavity, Inflection Points, Sketching a Graph): MATH 142Determining concavity and inflection points and sketching the graph

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9Reviewing the chain rule and the derivatives and limits of trigonometric functions

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 4 & 5Using the Chain Rule to prove facts about derivatives

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9Reviewing the chain rule and the derivatives and limits of trigonometric functions

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

MLC WIR 20B M151 week4 #1mnUsing the Chain Rule to differentiate functions with exponential and trigonometric functions

MLC WIR 20B M151 week6 #1ghUsing the Product and Chain Rules to differentiate functions with logarithms

Analyzing Functions III (Extrema, Concavity, Inflection Points): MATH 142Determining a functions concavity and inflection points

Analyzing Functions (More Curve Sketching): MATH 142Using Information From the Derivative to Sketch a Graph

Analyzing Functions (Sketching a Graph): MATH 142Using the Derivative to Sketch the Graph of a Function

Vectors and Derivatives: MATH 171 Problems 1-3Using the limit definition to find derivatives of functions and vector functions

Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3Proving facts about the derivatives of vector functions including the product rule

Derivatives and Applications: MATH 171 Problems 7 & 8Calculating slopes of tangent lines to parametric curves

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15Implicit differentiation and physics applications of derivatives

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29Related rates problems, differentials, linear and quadratic approximations

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30Antiderivatives and physics applications

Inverse Trigonometric Functions: MATH 151 Problems 9-12Properties and derivatives of inverse trigonometric functions

Derivatives and Rates of Change: MATH 171 Problems 1-3Using the limit definition to find derivatives of functions and vector functions

The Derivative as a Function: MATH 171 Problems 1-3Using the limit definition to find derivatives of functions and vector functions

The Derivative as a Function: MATH 171 Problems 4 & 5Using the limit definition to find a derivative and proving the power rule

Differentiation Formulas: MATH 171 Problems 4 & 5Using the limit definition to find a derivative and proving the power rule

Differentiation Formulas: MATH 171 Problems 6 & 7Proving the Product Rule and the rule for the derivative of a difference of functions

Differentials and Approximations: MATH 151 Problems 1-6Differentials, linear approximations, and quadratic approximations

Differentiation Formulas: MATH 171 Problems 6 & 7Proving the Product Rule and the derivative rule for a difference of functions

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9Derivatives of trigonometric functions and using the Chain Rule

Exponentials and Hyperbolic Trigonometric Functions: MATH 171 Problems 3 & 4Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9Derivatives of trigonometric functions and using the Chain Rule

Implicit Differentiation: MATH 171 Problems 6 & 7Using implicit differentiation to solve a problem and to prove the power rule for rational exponents

Inverse Trigonometric Functions: MATH 151 Problems 9-12Properties and derivatives of inverse trigonometric functions

Studying the Shape of Curves: MATH 171 Problems 1-3What the derivatives of a function tell us about the shape of its graph

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Integration by Parts: MATH 172 Problems 1 & 2Proving the formula for integration by parts and a reduction formula

Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29Related rates problems, differentials, linear and quadratic approximations

Review for the Common Exam: MATH 151 Exam 2 Review Problems 10-15Implicit differentiation and physics applications of derivatives

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30Antiderivatives and physics applications

Inverse Trigonometric Functions: MATH 151 Problems 9-12Properties and derivatives of inverse trigonometric functions

Differentials and Approximations: MATH 151 Problems 1-6Differentials, linear approximations and quadratic approximations

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9Derivatives of trigonometric functions and using the Chain Rule

Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9Derivatives of trigonometric functions and using the Chain Rule

Inverse Trigonometric Functions: MATH 151 Problems 9-12Properties and derivatives of inverse trigonometric functions

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

MLC WIR 20B M151 week4 #1eDifferentiating a function with an exponential function and using the Power Rule

MLC WIR 20B M151 week5 #4abFinding the derivative of a function containing an inverse trigonometric function

MLC WIR 20B M151 week5 #4cdFinding the derivative of a function containing an inverse trigonometric function

MLC WIR 20B M151 week4 #1oUsing the Chain Rule to differentiate a function containing trigonometric functions

MLC WIR 20B M151 week4 #3Using the Chain Rule to evaluate the derivative of a composition of functions

MLC WIR 20B M151 week4 #4Using the Chain Rule to evaluate the derivative of a composition of functions

MLC WIR 20B M151 week6 #1ijDifferentiating functions with logarithmic and inverse trigonometric functions

MLC WIR 20B M151 week7 #1bFinding the absolute maximum and absolute minimum values of a function on a closed interval

MLC WIR 20B M151 week7 #1cFinding the absolute maximum and absolute minimum values of a function on a closed interval

MLC WIR 20B M151 week7 #4fEvaluating a limit with an indeterminant difference using L'Hospital's Rule

MLC WIR 20B M151 week9 #5Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

MLC WIR 20B M151 week9 #6Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

MLC WIR 20B M151 week9 #7Finding where a function is increasing, decreasing, concave up and concave down and its local extrema and inflection points

MLC WIR 20B M151 week10 #6cUsing L'Hospital's Rule to evaluate a limit representing a derivative at a point

Finding Intervals of Increase/Decrease and Concavity in PythonUsing Python to find the intervals where a function is increasing or decreasing

List Comprehension and Patterns in Higher Derivatives in PythonUsing Python's list comprehension tool to find several higher order derivatives of a function at once

Calculus Exam Review (Limits and Continuity/Differentiability): MATH 142Review of limits, continuity, and differentiability

Calculus Exam Review (Limits and Continuity/Differentiability II): MATH 142Review of limits at infinity and continuity of functions

Calculus Exam Review (Limits at Infinity with Exponentials): MATH 142Examples of calculating infinite limits with exponentials in a rational function

Calculus Exam Review (Continuity and Derivatives): MATH 142Review of continuous functions, the limit definition of the derivative, and instantaneous rate of change

Calculus Exam Review (Derivatives and Approximate Profit): MATH 142Examples of finding derivatives and calculating approximate profit

Calculus Exam Review (Average Cost): MATH 142Using the derivative to calculate the average cost of an item

Calculus Exam Review (Continuity and Derivatives): MATH 142Review of continuous functions, the limit definition of the derivative, and instantaneous rate of change

Calculus Exam Review (Derivative Applications): MATH 142Finding a tangent line and approximating marginal cost

Calculus Exam Review (Marginal Revenue): MATH 142Finding marginal revenue and approximating the cost of the next item

Calculus Exam Review (Application Problems with Integrals): MATH 142Using integrals to solve application problems

Calculus Exam Review (Curve Sketching): MATH 142Using the first and second derivative to sketch the graph of the function

Rates of Change and Secant and Tangent Lines: MATH 142Finding average and instantaneous rates of change and secant and tangent lines

Rates of Change and Secant and Tangent Lines: MATH 142Finding average and instantaneous rates of change and secant and tangent lines

Business Applications of the Derivative (Revenue, Profit, Cost, Demand): MATH 142Marginal Analysis and Marginal Average Functions

Using Derivative Rules to Find Rates of Change: MATH 142Using derivatives to find instantaneous rate of change

Business Applications of the Derivative (Revenue, Profit, Cost, Demand): MATH 142Marginal Analysis and Marginal Average Functions

Analyzing Functions II (Increasing/Decreasing, Extrema): MATH 142Determining where a function is increasing or decreasing and the relative extrema

Analyzing Functions (Increasing/Decreasing, Extrema): MATH 142Determining where a function is increasing or decreasing and the relative extrema

Absolute Extrema on Closed Intervals: MATH 142Using Critical Values to Find Absolute Extrema on Closed Intervals

Vector Functions: MATH 171 Problems 1 & 2Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel

Derivatives and Applications: MATH 151 Problems 9-15Tangent lines to parametric equations and related rates examples

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25Review of limits, continuity, and the Intermediate Value Theorem

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

Inverse Trigonometric Functions: MATH 171 Problems 4-6Properties of inverse trig functions and the derivative of arctangent

Limits and Asymptotes: MATH 171 Problems 1 & 2Proving the values of limits as x approaches infinity using the epsilon-delta definition

Limits and Asymptotes: MATH 151 Problems 7-11Limits at infinity and asymptotes, along with physics applications

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 1-3Proving the derivatives of trigonometric functions and that sine is continuous

Inverse Trigonometric Functions: MATH 171 Problems 4-6Properties of inverse trig functions and the derivative of arctangent

Derivatives of Logarithmic Functions: MATH 171 Problems 7-9Proving facts about logarithms and exponentials including the derivative of an exponential with an arbitrary base

Derivatives and Applications: MATH 151 Problems 9-15Tangent lines to parametric equations and related rates examples

Absolute Extrema: MATH 171 Problems 4 & 5Proving Fermat's Theorem and graphing local and absolute extrema

Fundamental Theorem of Calculus: MATH 171 Problems 1-3Proving and then applying the Fundamental Theorem of Calculus

Review for the Common Exam: MATH 152 Exam 3 Review Problems 1-3Review of sequences and finding the sum of a series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Review for the Common Exam: MATH 152 Exam 3 Review Problem 9Review of finding the radius and interval of convergence for a power series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 10-13Review of power series properties and writing functions as power series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Review for the Common Exam: MATH 152 Exam 3 Review Problems 7 & 8Reivew of estimating the sum of a series and using the Alternating Series Estimation Theorem

Monotone Sequence Theorem: MATH 172 Problems 6-8Using the Monotone Sequence Theorem and induction to show a sequence coverges

Integration by Partial Fractions: MATH 152 Problem 11Using the method of partial fractions to integrate rational functions

Integration by Partial Fractions: MATH 152 Problems 12 & 13Using 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 & 5Determining divergence or convergence of improper integrals

Separable Differential Equations: MATH 172 Problems 6 & 7Solving separable differential equations involving Newton's Law of Cooling and orthogonal trajectories

Linear Differential Equations: MATH 172 Problems 1 & 2Solving first order linear differential equations

Derivatives and Applications: MATH 151 Problems 9-15Tangent lines to parametric equations and related rates examples

Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25Review of limits, continuity, and the Intermediate Value Theorem

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

Limits and Asymptotes: MATH 151 Problems 7-11Limits at infinity and asymptotes, along with physics applications

Review for the Common Exam: MATH 151 Exam 1 Review Problems 36-40Review of derivatives and tangent lines to functions and vector equations

Derivatives and Applications: MATH 151 Problems 9-15Tangent lines to parametric equations and related rates examples

Review for the Common Exam: MATH 152 Exam 3 Review Problems 1-3Review of sequences and finding the sum of a series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Review for the Common Exam: MATH 152 Exam 3 Review Problem 9Review of finding the radius and interval of convergence for a power series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 10-13Review of power series properties and writing functions as power series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Review for the Common Exam: MATH 152 Exam 3 Review Problems 7 & 8Reivew of estimating the sum of a series and using the Alternating Series Estimation Theorem

Integration by Partial Fractions: MATH 152 Problem 11Using the method of partial fractions to integrate rational functions

Integration by Partial Fractions: MATH 152 Problems 12 & 13Using the method of partial fractions to integrate rational functions

Improper Integrals: MATH 152 Problems 4 & 5Determining divergence or convergence of improper integrals

WIR 20B M152 V70Determining if a series is absolutely convergent, conditionally convergent, or divergent.

MLC WIR 20B M151 week5 #10Finding the points on a parametric curve where the tangent line is horizontal or vertical

MLC WIR 20B M151 week6 #13Finding where the tangent line is horizontal or vertical for a parametric equation

MLC WIR 20B M151 week6 #16Solving for constants so that a piecewise function is differentiable everywhere

MLC WIR 20B M151 week6 #8Finding the point when the tangent line to a function has a particular slope

MLC WIR 20B M151 week7 #1aFinding the absolute maximum and absolute minimum values of a function on a closed interval

MLC WIR 20B M151 week7 #2aFinding a number that satisfies the conclusion of the Mean Value Theorem on an interval

MLC WIR 20B M151 week7 #2bFinding a number that satisfies the conclusion of the Mean Value Theorem on an interval

MLC WIR 20B M151 week8 #6Using antidifferentiation to find the height of a cliff from the impact speed of a dropped stone

MLC WIR 20B M151 week9 #2Using the derivative to determine where a function is increasing and decreasing

MLC WIR 20B M151 week9 #3Finding the absolute maximum and minimum values of a function on a closed interval

MLC WIR 20B M151 week9 #4Finding the intervals where a function is increasing and decreasing and its local maximums and minimums

MLC WIR 20B M151 week9 #8bEvaluating a limit with an indeterminate difference using a common denominator

MLC WIR 20B M151 week9 #9Finding a number that satisfies the conclusion of the Mean Value Theorem for a function on an interval

MLC WIR 20B M151 week9 #10dFinding the antiderivative of a function and using a function value to find the contant

MLC WIR 20B M151 week10 #13Finding when the tangent line to a parametric curve is vertical or horizontal

MLC WIR 20B M151 week10 #15Determining the rate that the area of a triangle is increasing based on the rate an angle is increasing

MLC WIR 20B M151 week10 #17Finding the value for a function that satisfies the Mean Value Theorem on an interval

MLC WIR 20B M151 week10 #19cUsing L'Hospital's Rule to solve a limit with an indeterminant difference

WIR2 20B M251 V8Finding a vector equation for the tangent line to a three-dimensional vector function

WIR4 20B M251 V9Finding the absolute maximum and minimum values of a function of two variables on a rectangle

WIR4 20B M251 V10Finding the absolute maximum and minimum values of a function of two variables on a triangular region

WIR8 20B M251 V8Using a line integral to find the work done by a force field moving a particle along a curve

Creating and Manipulating Symbolic Expressions in PythonCreating symbolic expression in Python and then factoring, expanding, and simplifying the expressions

Finding Derivatives in PythonFinding derivatives in Python and solving for the rate of change of a force

Finding and Graphing Tangent Lines to a Curve in PythonUsing Python to find the equation of the tangent line to a curve and graphing the result

Finding Horizontal Tangent Lines in PythonFinding when the tangent line to a function is horizontal in Python

Parametric Plots and Tangents at a Given t-value in PythonUsing Python to find the tangent line to a parametric equation and plot the two graphs

MATH 308 WIR22A V15Solving an initial value problem including air resistance for the path of a thrown ball to determine the maximum height it reaches

Partial Derivatives Exercise V4Finding all higher order partial derivatives of a function with two variables

The Chain Rule (multivariable) Exercise V3Using the Chain Rule for multivariable functions to find the rate a volume is changing

Linear Algebra for Math 308: L2V9Explaining how to find the derivative and integral of matricx and vector functions

Deriving the Integration by Parts FormulaDeriving the formula for integration by parts using the product rule

MATH 152: Partial Fraction Decomposition Exercise 1Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 2Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 3Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 5Using partial fraction decomposition to rewrite and then integrate a rational function

MATH 152: Partial Fraction Decomposition Exercise 6Using partial fraction decomposition to rewrite and then integrate a rational function