Question: Please show all work, step by step, written and explained as neatly as possible. Prove the following using the Mean Value Theorem. Suppose f and

Please show all work, step by step, written and explained as neatly as possible.

Prove the following using the Mean Value Theorem. Suppose f and g are real-valued functions differentiable on (a, b) Such that x) = g'(x) for all x in (a, b), then there exists a constant C such that f(x) = g(x) + C

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