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
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 f ( x ) and f ' ( x )
Graphs of f ( x ) and f ' ( x ) Help
Graphs of f ( x ) and f ' ( x ) Examples
Graphs of f ( x ) and f ' ( x ) Exercises
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
A Slippery Slope
A Slippery Slope True or False
Going Off On a Tangent
Going Off On a Tangent True or False
Rolle With It
Rolle With It True or False
Handouts
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 f ( x ) and f ' ( x )
Graphs of f ( x ) and f ' ( x ) Help
Graphs of f ( x ) and f ' ( x ) Examples
Graphs of f ( x ) and f ' ( x ) Exercises
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
A Slippery Slope
A Slippery Slope True or False
Going Off On a Tangent
Going Off On a Tangent True or False
Rolle With It
Rolle With It True or False
Handouts