Suppose that is continuous on [a, b] and that c is an interior point of the
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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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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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