If `f(x)` is an even function, then write whether `f^(prime)(x)` is even or odd.

Options

A. f'(x) is an even function
B. f'(x) is an odd function
C. f'(x) may be an even or odd function depending on the type of function
D. f'(x) is a constant function

Answer

B

Explanation

f(x) is an even function.
Let's see some examples
(1) If f(x)=cos x, which is even function,
f(x) =-sinx, which is odd function,
(2) If `f(x)=x^(2)`, which is even function,
f(x)=2x, which is odd function.