Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Review - Exercises: 23

Answer

$-\left( x-1\right) ^{-2}$

Work Step by Step

$\dfrac {d}{dx}\left( 1-x^{-1}\right) ^{-1}=-\left( 1-x^{-1}\right) ^{-2}\times \dfrac {d}{dx}\left( -x^{-1}\right) =-\left( 1-x^{-1}\right) ^{-2}\times x^{-2}=-\left( x-1\right) ^{-2}$
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