A function f: R → R satisfies the equation f(x+y)=f(x) f(y), ∀ x, y in R and f(x) ≠ 0 for any x i...

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A function f: R→ R satisfies that equation f(x + y) = f(x) f(y). Prove that f^ prime (x) = 2f(x) A function f: R→ R satisfies that equation f(x + y) = f(x) f(y). Prove that f^ prime (x) = 2f(x)
Let f : R → R be a function such that f(x+y) = f(x) + f(y) for all x,y ∈ R, and g : R → (0,∞) be a Let f : R → R be a function such that f(x+y) = f(x) + f(y) for all x,y ∈ R, and g : R → (0,∞) be a
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Let f be a differentiable function such that f(1) = 2 andf Let f be a differentiable function such that f(1) = 2 andf'(x) = f (x) for all x in R. If h(x)=f...