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## Homework Statement

function f is differential when x=0,

f'(0) is not equal to zero for all a,b(real Numbers)

f(a+b) = f(a)f(b)

show f'(x) = f'(x)f(x)

## Homework Equations

## The Attempt at a Solution

f(a+b) = f(a)f(b) for all a,b(real numbers)

f(0), a+b=0

then f(0) = 1

lim x-->0 f(x) = f(0) = 1

then i get stuck