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 $x = −a$.
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
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
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