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A function f:RtoR is such that f(x+y)=f(...

A function `f:RtoR` is such that `f(x+y)=f(x).f(y)` for all x.y` inR` and `f(x)ne0` for all `x inR`. If `f'(0)=2` then `f'(x)` is equal to

A

`f(x)`

B

`-f(x)`

C

`2f(x)`

D

`4f(x)`

Text Solution

Verified by Experts

The correct Answer is:
C
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