   Chapter 4.1, Problem 6E Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Solutions

Chapter
Section Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

The Value of the Derivative at Relative Extrema In Exercises 5-10, find the value of the derivative (if it exists) at each indicated extremum. f ( x ) = cos π x 4 To determine

To calculate: The value of the derivative of f(x)=cosπx2 at each indicated extremum.

Explanation

Given:

The graph,

Refer to figure in question.

Formula used:

Chain Rule:

[f(g(x))]'=f'(g(x))g'(x)

Calculation:

Consider the function,

f(x)=cosπx2

Differentiate the functionusing chain rule.

That is.,

f'(x)=π2sinπx2

Plug (0,1) into the equation to find the derivative.

That is

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