   Chapter 4.1, Problem 46E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# A formula for the derivative of a function f is given. How many critical numbers does f have? f ′ ( x ) = 100 cos 2 x 10 + x 2 − 1

To determine

To find: The number of critical numbers.

Explanation

Given:

A formula for the derivative of a function f(x)=100cos2x10+x21 .

Calculation:

Since the function is defined on , it is enough to identify the number of the zeros.

Draw the graph of f'(x) and identify the number of zeros

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