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 - 3.3 Exercises - Page 183: 9

Answer

g(x) decreases when x<1, increases when x>1

Work Step by Step

$g'(x)=2x-2$ g(x) decreases when g'(x)<0, and increases when g'(x)>0 for g'(x)<0, $2x-2<0$ $2x<2$ $x<1$ for g'(x)>0, $2x-2>0$ $2x>2$ $x>1$ Therefore, g(x) decreases when x<1, increases when x>1
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