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Derivatives

Home Calculus Derivatives Exercises Rolle's 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 9) Exercises: 1 2 3 4 5 6 7 8 9

Exercise 1

Let f(x) = sin(x). This function is differentiable everywhere. Prove that there is some c in (0, 2π) with f'(c) = 0. By looking at the graph of f, determine how many such values of c there are in (0,2π).

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