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

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

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 1-7Derivatives of exponential functions and the exponential model

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

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 #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 week4 #1oUsing the Chain Rule to differentiate a function containing trigonometric functions

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 #1ijDifferentiating functions with logarithmic and inverse trigonometric functions

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 #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 #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 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 #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 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

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

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 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

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

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

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 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

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 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 16-20Derivatives of parametric equations and tangent lines

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 1-9Reviewing the chain rule and the derivatives and limits of trigonometric functions

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

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

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

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

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

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

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

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

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

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

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

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 1 Review Problems 26-35Review of the limit definition of a derivative and calculating the derivative

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 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 2 Review Problems 16-20Derivatives of parametric equations and tangent lines

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

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

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

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

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

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 #9Finding a number that satisfies the conclusion of the Mean Value Theorem for a function on an interval

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

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

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

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

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 (Absolute Extrema and Integration): MATH 142Examples finding absolute maximums, antiderivatives, and definite integrals

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

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

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

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

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 36-40Review of derivatives and tangent lines to functions and vector equations

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

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

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

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

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

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

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

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

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 171 Problems 4-6Properties of inverse trig functions and the derivative of arctangent

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

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

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

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

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

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 2 Review Problems 10-15Implicit differentiation and physics applications of derivatives

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 2 Review Problems 21-29Related rates problems, differentials, linear and quadratic approximations

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

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

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

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

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 week2 #04Simplifying expressions containing trigonometric and inverse trigonometric functions

MLC WIR 20B M151 week2 #03Evaluating a composition of trigonometric and inverse trigonometric functions

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

MLC WIR 20B M151 week2 #08Evaluating left and right limits of a fraction containing an absolute value

MLC WIR 20B M151 week2 #11Solving for the values for constants to make a piecewise function is continuous

MLC WIR 20B M151 week3 #12Find the Cartesian form and sketch the graph for the parametric equation of a line

MLC WIR 20B M151 week3 #13Evaluating compositions of trigonometric and inverse trigonometric functions

MLC WIR 20B M151 week3 #18Solving for the value of a constant that makes a function is continuous everywhere

MLC WIR 20B M151 week3 #19Using the Intermediate Value Theorem to determine where an equation has a solution

MLC WIR 20B M151 week8 #7aUsing Riemann sums to estimate the area under a curve using right endpoints

MLC WIR 20B M151 week8 #8Using a limit of Riemann sums to write an expression for the area under a graph

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

MLC WIR 20B M151 week9 #13Using a limit of Riemann sums to write an expression for the area under a graph

MLC WIR 20B M151 week9 #14aEvaluating a definite integral by using geometry to find the area under the curve

MLC WIR 20B M151 week9 #14bEvaluating a definite integral by using geometry to find the area under the curve

MLC WIR 20B M151 week10 #8dEvaluating the limit at negative infinity of a fraction with exponential functions

MLC WIR 20B M151 week10 #21Evaluating a definite integral by interpreting it as an area and using geometry

MLC WIR 20B M151 week10 #22Using the Fundamental Theorem of Calculus to find the derivative of a function defined using an integral

MLC WIR 20B M151 week10 #23aEvaluating an indefinite integral by simplifying a fraction to powers of x

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

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

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

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

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