Question

if f(x) is an even function and f'(0) exist, then f'(0)=?​

Answer 1

Answer:

please do it and I will solve it

Step-by-step explanation:

write

the

question

correctly

please.

Answer 2

Answer:

f is an even function

∴f(x)=f(−x)

Differenting both sides, we get

f

′

(x)=−f

′

(−x)

It is given that f

′

(x) exist, implies that f

′

(0) also exists.

⇒f

′

(0)=−f

′

(0)

⇒2f

′

(0)=0

⇒f

′

(0)=0