Suppose that c1 < c2 and that f takes on local maxima at c1 and c2. Prove that if f is continuous on [c1, c2], then there is at least one c in (c1, c2) at which f takes on a local minimum.(adsbygoogle = window.adsbygoogle || []).push({});

This question seems common sense, but does anyone know how to actually prove this?

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# Homework Help: Proving local minimum

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