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: 11

Answer

$y'=(1-x/7)^{-8}$

Work Step by Step

Find y and u: $y=u^{-7}$ $u=1-x/7$ First, find the derivative of y and u. Don't forget to apply chain rule for y': $y'=-7u^{-8}\times u'$ $u'=-1/7$ Then plug in u and u' into y': $y'=-7(1-x/7)^{-8}\times-1/7=(1-x/7)^{-8}$
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