Answer
$y'=10(2x+1)^4$
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':
$y'=5(2x+1)^4\times2=10(2x+1)^4$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
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
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