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Suppose f is continuous for x is greater than or equal to 0, f'(x) exists for...

Suppose f is continuous for x is greater than or equal to 0, f'(x) exists for x greater than 0, f(0)=0, f' is monotonically increasing. For x greater than 0, put g(x) = f(x)/x and prove that g is monotonically increasing.

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