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Let f(x+y)=f(x)f(y) and f(x)=1+(sin2x)g(...

Let `f(x+y)=f(x)f(y)` and `f(x)=1+(sin2x)g(x)`, where `g(x)` is continuous. Then `f'(x)` is equal to :

A

`2g(0)`

B

`f(x)g(0)`

C

`2f(x)g(0)`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
C
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