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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

f(x)g(0)

B

2f(x)g(0)

C

2g(0)

D

none of these

Text Solution

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The correct Answer is:
B
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