Answer
$y' = 6x(x^{2} -6)^{2}$
Work Step by Step
1. Use the Chain Rule to find the Derivative
$y = (x^{2} -6)^{3}$
$y' = 3(x^{2} -6)^{(3-1)}(2x)$
$y' = 6x(x^{2} -6)^{2}$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 2 - Differentiation - Review Exercises - Page 158: 54
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