Calculus: Early Transcendentals (2nd Edition)

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

Chapter 4 - Applications of the Derivative - 4.1 Maxima and Minima - 4.1 Exercises - Page 244: 67

Answer

$x = \pm a$.

Work Step by Step

$f'(x) = x^4 − a^4$, which is zero when $x^4 = a^4$, or $|x| = a$. So there are critical points at $x = a$ and at $x = −a$.
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