Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 4 - Applications of the Derivative - 4.2 What Derivatives Tell Us - 4.2 Exercises - Page 257: 32

Answer

$f$ is increasing on ($0,\infty$) and decreasing nowhere.

Work Step by Step

$f'(x) = \frac{1}{x}$ , which is always positive on the interval $(0,∞)$ which is the domain of $f$. Thus $f$ is increasing on its domain.
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