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Prove that if f is and g are differentiable on R, if f(0)=g(0) and if f'(x)g(x) for all x in R, then f(x)g(x) for x0

Prove that if f is and g are differentiable on R, if f(0)=g(0) and if f'(x)g(x) for all x in R, then f(x)g(x) for x0

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