Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 9 - Review - True-False Quiz - Page 634: 1

Answer

$\bf True$.

Work Step by Step

$\bf True$. Because $y(x)^{4}\geq 0$ for all $x$, we know that $-1-y^{4}$ is strictly negative for all values of $x$. Hence, this means that $y'$ is strictly negative for all $x$ . By the first derivative test , this means that $y$ is decreasing.
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