Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Section 3.6 - The Chain Rule - Exercises 3.6 - Page 148: 10

Answer

$y'=-27(4-3x)^8$

Work Step by Step

Find y and u: $y=u^9$ $u=4-3x$ First, find the derivative of y and u. Don't forget to apply chain rule for y': $y'=9u^8\times u'$ $u'=-3$ Then plug in u and u' into y': $y'=9(4-3x)^8\times -3=-27(4-3x)^8$
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