Question: Suppose that f(x + y) = f(x) f(y) for all x and y. Show that if f'(0) exists and f'(a) = f(a) f'(0).

Suppose that f(x + y) = f(x) f(y) for all x and y. Show that if f'(0) exists and f'(a) = f(a) f'(0).

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