Question: Let f(x) be a function that is continuous on [a, b], twice differentiable in (a, b), and where f(a) = f(d) = f(b) for a

Let f(x) be a function that is continuous on [a, b], twice differentiable in (a, b), and where f(a) = f(d) = f(b) for a d (a, b).

Show that there then exists a C (a, b) such that f''(c) = 0

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