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A function f: R rarr R satisfies the equation f(x+ y)= f(x).f(y) "for all" x, y in R, f(x) ne 0. Suppose that the function is differentiable at x=0 and f'(0)=2, then prove that f'(x)= 2f(x)

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ANSWER :`F'(X)= 2 f(x)`


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