Answer
$x = 0$ is a critical point. The test is inconclusive.
Work Step by Step
$g'(x) = 3x^2$, so $x = 0$ is a critical point. $g''(x) = 6x$ so $g''(0) = 0$ and the test is inconclusive.
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 - 4.2 What Derivatives Tell Us - 4.2 Exercises - Page 257: 74
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