# Derivatives

# Derivatives Table of Contents

Derivatives

Topics

Derivatives Examples

Derivatives Exercises

Derivative as a Limit of Slopes

Derivative as a Limit of Slopes Help

Slope of a Line Between Two Points

Slope of a Line Between Two Points Help

Slope of a Line Between Two Points Examples

Slope of a Line Between Two Points Exercises

Slope of a Line Between Two Points on a Function

Slope of a Line Between Two Points on a Function Help

Slope of a Line Between Two Points on a Function Examples

Slope of a Line Between Two Points on a Function Exercises

Slope at One Point?

Slope at One Point? Help

Slope at One Point? Exercises

Estimating Derivatives Given the Formula

Estimating Derivatives Given the Formula Help

Estimating Derivatives Given the Formula Examples

Estimating Derivatives from Tables

Estimating Derivatives from Tables Help

Estimating Derivatives from Tables Examples

Estimating Derivatives from Tables Exercises

Finding Derivatives Using Formulas

Finding Derivatives Using Formulas Help

Finding Derivatives Using Formulas Examples

Finding Derivatives Using Formulas Exercises

Derivatives as an Instantaneous Rate of Change

Derivatives as an Instantaneous Rate of Change Help

Average Rate of Change

Average Rate of Change Help

Average Rate of Change Examples

Average Rate of Change Exercises

Instantaneous Rate of Change

Instantaneous Rate of Change Help

Units, Words, and Notation

Units, Words, and Notation Help

Units, Words, and Notation Examples

Units, Words, and Notation Exercises

Tangent Lines

Tangent Lines Help

How Tangent Lines Look

How Tangent Lines Look Help

How Tangent Lines Look Examples

How Tangent Lines Look Exercises

When Tangent Lines Don't Exist

When Tangent Lines Don't Exist Help

When Tangent Lines Don't Exist Exercises

Tangent Lines and Derivatives

Tangent Lines and Derivatives Help

Tangent Lines and Derivatives Examples

Tangent Lines and Derivatives Exercises

Topics

Derivatives Examples

Derivatives Exercises

Derivative as a Limit of Slopes

Derivative as a Limit of Slopes Help

Slope of a Line Between Two Points

Slope of a Line Between Two Points Help

Slope of a Line Between Two Points Examples

Slope of a Line Between Two Points Exercises

Slope of a Line Between Two Points on a Function

Slope of a Line Between Two Points on a Function Help

Slope of a Line Between Two Points on a Function Examples

Slope of a Line Between Two Points on a Function Exercises

Slope at One Point?

Slope at One Point? Help

Slope at One Point? Exercises

Estimating Derivatives Given the Formula

Estimating Derivatives Given the Formula Help

Estimating Derivatives Given the Formula Examples

Estimating Derivatives from Tables

Estimating Derivatives from Tables Help

Estimating Derivatives from Tables Examples

Estimating Derivatives from Tables Exercises

Finding Derivatives Using Formulas

Finding Derivatives Using Formulas Help

Finding Derivatives Using Formulas Examples

Finding Derivatives Using Formulas Exercises

Derivatives as an Instantaneous Rate of Change

Derivatives as an Instantaneous Rate of Change Help

Average Rate of Change

Average Rate of Change Help

Average Rate of Change Examples

Average Rate of Change Exercises

Instantaneous Rate of Change

Instantaneous Rate of Change Help

Units, Words, and Notation

Units, Words, and Notation Help

Units, Words, and Notation Examples

Units, Words, and Notation Exercises

Tangent Lines

Tangent Lines Help

How Tangent Lines Look

How Tangent Lines Look Help

How Tangent Lines Look Examples

How Tangent Lines Look Exercises

When Tangent Lines Don't Exist

When Tangent Lines Don't Exist Help

When Tangent Lines Don't Exist Exercises

Tangent Lines and Derivatives

Tangent Lines and Derivatives Help

Tangent Lines and Derivatives Examples

Tangent Lines and Derivatives Exercises

Tangent Line Approximation

Tangent Line Approximation Help

Finding Tangent Lines

Finding Tangent Lines Help

Finding Tangent Lines Examples

Finding Tangent Lines Exercises

Using Tangent Lines to Approximate Function Values

Using Tangent Lines to Approximate Function Values Help

Using Tangent Lines to Approximate Function Values Examples

Differentiability and Continuity

Differentiability and Continuity Help

Differentiability and Continuity Exercises

The Derivative Function

The Derivative Function Help

The Derivative Function Examples

The Derivative Function Exercises

Graphs of

Graphs of

Graphs of

Graphs of

Theorems

Theorems Help

Rolle's Theorem

Rolle's Theorem Help

Rolle's Theorem Examples

Rolle's Theorem Exercises

The Mean Value Theorem

The Mean Value Theorem Help

The Mean Value Theorem Examples

The Mean Value Theorem Exercises

In the Real World

In the Real World Help

I Like Abstract Stuff; Why Should I Care?

I Like Abstract Stuff; Why Should I Care? Help

How to Solve a Math Problem

How to Solve a Math Problem Help

Appendix: Speed v. Velocity

Appendix: Speed v. Velocity Help

Terms

Best of the Web

Module Quizzes

Module Flashcards

Quiz 1

Quiz 1 Flashcards

Quiz 1 True or False

Quiz 2

Quiz 2 Flashcards

Quiz 2 True or False

Quiz 3

Quiz 3 Flashcards

Quiz 3 True or False

Handouts

Tangent Line Approximation Help

Finding Tangent Lines

Finding Tangent Lines Help

Finding Tangent Lines Examples

Finding Tangent Lines Exercises

Using Tangent Lines to Approximate Function Values

Using Tangent Lines to Approximate Function Values Help

Using Tangent Lines to Approximate Function Values Examples

Differentiability and Continuity

Differentiability and Continuity Help

Differentiability and Continuity Exercises

The Derivative Function

The Derivative Function Help

The Derivative Function Examples

The Derivative Function Exercises

Graphs of

*f*(*x*) and*f*' (*x*)Graphs of

*f*(*x*) and*f*' (*x*) HelpGraphs of

*f*(*x*) and*f*' (*x*) ExamplesGraphs of

*f*(*x*) and*f*' (*x*) ExercisesTheorems

Theorems Help

Rolle's Theorem

Rolle's Theorem Help

Rolle's Theorem Examples

Rolle's Theorem Exercises

The Mean Value Theorem

The Mean Value Theorem Help

The Mean Value Theorem Examples

The Mean Value Theorem Exercises

In the Real World

In the Real World Help

I Like Abstract Stuff; Why Should I Care?

I Like Abstract Stuff; Why Should I Care? Help

How to Solve a Math Problem

How to Solve a Math Problem Help

Appendix: Speed v. Velocity

Appendix: Speed v. Velocity Help

Terms

Best of the Web

Module Quizzes

Module Flashcards

Quiz 1

Quiz 1 Flashcards

Quiz 1 True or False

Quiz 2

Quiz 2 Flashcards

Quiz 2 True or False

Quiz 3

Quiz 3 Flashcards

Quiz 3 True or False

Handouts