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Let f(x+y)=f(x) f(y) and f(x)=1+(sin 2x)...

Let `f(x+y)=f(x) f(y) and f(x)=1+(sin 2x)g(x)` where g(x) is continuous. Then, f'(x) equals

A

1+ab

B

ab

C

a/b

D

None of these

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