Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - Review - Exercises: 27

Answer

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

Work Step by Step

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