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The function f satisfies the relation f(...

The function f satisfies the relation `f(x+y) =f(x) f(y)` for all ral x, y and `f(x) ne 0. If f(x)` is differentiable at `x=0 and f'(0) =2,` then `f'(x)` is equal to-

A

`f(x)`

B

`2f(x)`

C

`-f(x)`

D

`1/2f (x)`

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The correct Answer is:
B
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