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Derivatives

Home Calculus Derivatives Exercises The Mean Value Theorem Exercises

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Exercises
Slope of a Line Between Two Points
Slope of a Line Between Two Points on a Function
Slope at One Point?
Estimating Derivatives from Tables
Finding Derivatives Using Formulas
Average Rate of Change
Units, Words, and Notation
How Tangent Lines Look
When Tangent Lines Don't Exist
Tangent Lines and Derivatives
Finding Tangent Lines
Differentiability and Continuity
The Derivative Function
Graphs of f ( x ) and f ' ( x )
Rolle's Theorem
The Mean Value Theorem

Table of Contents

Page (1 of 4) Exercises: 1 2 3 4

Exercise 1

For the given function and interval, determine if we're allowed to use the Mean Value Theorem for the function on that interval. If so, what does the Mean Value Theorem let us conclude?

f(x) = x³ on (-1,1)

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