Question: Must any differentiable function f [a, b] R have a maximum and minimum value? Why? If f: [a, b] R is differentiable and f(a)

Must any differentiable function f [a, b] R have a maximum and minimum value? Why? If f: [a, b] R is differentiable and f(a) = f(b), must f have a maximum and minimum value in (a, b)?

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