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[" A function "f:R rarr R" satisfies the...

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

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