In below Problems, f (x) and its graph are given. (a) Use the graph to determine (estimate)
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(a) Use the graph to determine (estimate) where the graph of f (x) is concave up, where it is concave down, and where it has points of inflection.
(b) Verify that the given f (x) has f ''(x) as its second derivative, and graph f(x) to check your conclusions in part (a).
1. f'' (x) = 4 -x ( for f(x) = 2x2 - x3/ 6)
2. f'' (x) = 6 - x - x2 (for f (x) = 3x2 -x3 / 6 - x4 / 12)
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Mathematical Applications for the Management Life and Social Sciences
ISBN: 978-1305108042
11th edition
Authors: Ronald J. Harshbarger, James J. Reynolds
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