Question: Let f : R - R be a differentiable function such that f (0) = 0 and f'(0) = 3. Prove or disprove: the function

Let f : R - R be a differentiable function such that f (0) = 0 and f'(0) = 3. Prove or disprove: the function g(x) = (x](f (x) - 3x) is differentiable at x = 0

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