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: 9



Work Step by Step

Find y and u: $y=u^5$ $u=2x+1$ First, find the derivative of y and u. Don't forget to apply chain rule for y': $y'=5u^4\times u'$ $u'=2$ Then plug in u and u' into y': $y'=5(2x+1)^4\times2=10(2x+1)^4$
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