Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.5 - Derivatives: Numerical and Graphical Viewpoints - Exercises - Page 754: 69

Answer

Increasing: $1\lt x$ Decreasing: $x\lt1$

Work Step by Step

Increasing means that the derivative of a function, $f'$, is greater than $0$ ($f'\gt0$). That is, the graph of $f'$ is above the x-axis. This happens when $1\lt x$ Decreasing means that the derivative of a function, $f'$, is less than $0$ ($f'\lt0$). That is, the graph of $f'$ is below the x-axis. This happens when $x\lt1$
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