Let f(–x) = f(x). Then f'(x) must be– | MATH - DIFFERENTIATION BY SUBSTITUTION, HIGHER ORDER DERIVATIVES | SolveeIt | Solveeit

Today, August 19

Question

Let f(–x) = f(x). Then f'(x) must be–

A

An even function

B

An odd function

C

A periodic function

D

Neither even nor odd

Answer

An odd function

Explanation

Solution

f(–x) = f(x)

Ž –f ¢(–x) = f ¢(x) Ž f ¢(x) is odd.