Differentiation

If f(x+y)=f(x)f(y) for all x and y and f'(0) exists show that f'(x)=f'(x).f'(0) for all x

1 Answers

1357

Manish Shankar ·2013-12-23 01:01:16

f'(x)=[f(x+h)-f(x+0)]/h=f(x)*[f(h)-f(0)]/h=f(x)*f'(0)

lim h->0

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