Question: Let be continuous on [a, b] and differentiable on (a, b). If there exists c in (a, b) such that '(c) = 0, does

Let ƒ be continuous on [a, b] and differentiable on (a, b). If there exists c in (a, b) such that ƒ'(c) = 0, does it follow that ƒ(a) = ƒ(b)?
Explain.

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