Use the equation to establish the following test. Let have continuous first and second derivatives and
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Use the equation
to establish the following test. Let ƒ have continuous first and second derivatives and suppose that ƒ′(a) = 0. Then
a. ƒ has a local maximum at a if ƒ″ ≤ 0 throughout an interval whose interior contains a;
b. ƒ has a local minimum at a if ƒ″ ≥ 0 throughout an interval whose interior contains a.
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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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