Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 9 - Review - Exercises - Page 656: 1

Answer

True

Work Step by Step

Recall: A function $y=f(x)$ is decreasing if $y'<0$. Given: a differential equation $y'=-1-y^4$. Since $-1<0$ and $-y^4\leq 0$ for all $y$, it must be $y'<0$. Thus, all solutions to the differential equation are decreasing functions (TRUE).
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