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 256: 19

Answer

$f$ is increasing on $(1,\infty)$, $f$ is decreasing on $(-\infty,1)$.

Work Step by Step

$f'(x) = 2(x−1)$, which is zero exactly when $x = 1$. On $(−∞, 1)$ we note that $f' < 0$, so that $f$ is decreasing on this interval. On $(1,∞)$, we note that $f' > 0$, so $f$ is increasing on this interval.
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