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If f(x) is a differentiable function and f' (c) = 0 at an interior point...

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Calculus

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If f(x) is a differentiable function and f' (c) = 0 at an interior point c of f's domain, and if f" (x) > 0 for all x in the domain, must f have a local minimum at x = c? Explain.

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