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If f(x-y), f(x) f(y), and f(x+y) are in ...

If `f(x-y), f(x) f(y), and f(x+y)` are in A.P. for all x, y, and `f(0) ne 0,` then

A

f'(x) is an even function

B

f'(1)+f'(-1)=0

C

f'(2)-f'(-2)=0

D

f'(3)+f'(-3)=0

Text Solution

Verified by Experts

The correct Answer is:
B, D
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