Question: Suppose that f and are continuous [a, b] on and differentiable on (a, b). Suppose also that f(a) = g(a) and f(x) < g(x) for

Suppose that f and are continuous [a, b] on and differentiable on (a, b). Suppose also that f(a) = g(a) and f’(x) < g’(x) for a < x < b. Prove that f(b) < g(b) 2.

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