Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 3 - Applications of Differentiation - 3.1 Exercises: 12

Answer

$g(x)$ has three critical numbers : {$-2, 0, 2$}.

Work Step by Step

$g'(x)=4x^3-16x=4x(x^2-4)=4x(x-2)(x+2).$ $g'(x)=0\to 4x(x-2)(x+2)=0\to x=-2, x=0$ or $x=2.$ $g(x)$ has three critical numbers : {$-2, 0, 2$}.
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