Question: Suppose that is continuous on [a, b] and that c is an interior point of the interval. Show that if (x) 0 on

Suppose that ƒ is continuous on [a, b] and that c is an interior point of the interval. Show that if ƒ′(x) ≤ 0 on [a, c) and ƒ′(x) ≥ 0 on (c, b] , then ƒ(x) is never less than ƒ(c) on [a, b].

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