Question: Let f and g be functions that are continuous on [a, b] and differentiable on (a, b). Prove that if (a) = g(a) and

Let f ƒ and g be functions that are continuous on [a, b] and differentiable on (a, b). Prove that if ƒ(a) = g(a) and g'(x) > ƒ'(x) for all x in (a, b), then g(b) > ƒ(b).

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