BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 4, Problem 16RQ
To determine

 Determine the statement, if f is even, then f’ is even is true or false.

Expert Solution

Answer to Problem 16RQ

The given statement is false.

Explanation of Solution

Given that f(x) is even.

If f(x) is even, then f(x)=f(x) . (1)

Differentiate the equation (1),

f(x)=f(x)f'(x)=f'(x)(1)f'(x)=f'(x)

Thus, f'(x) is not even.

Therefore the given statement is false.

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