Question
Question: If f(x) be even function and f ′(0) exist then f ′(0) equals...
If f(x) be even function and f ′(0) exist then f ′(0) equals
A
1
B
–1
C
0
D
None of these
Answer
0
Explanation
Solution
f(–x) = f(x), differ
⇒ –f ′(–x) = f ′(x)
⇒ –f ′(0) = f ′(0)
⇒ 2f ′(0) = 0
⇒ f ′(0) = 0