Question: Let f be a function that satisfies the following three hypotheses: 1. f is continuous on the closed interval [a, b]. 2. f is

Let f be a function that satisfies the following three hypotheses: 1.

Let f be a function that satisfies the following three hypotheses: 1. f is continuous on the closed interval [a, b]. 2. f is differentiable on the open interval (a, b). 3. f(a) = f(b) Then there is a number c in (a, b) such that f'(c) = 0.

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