Calculus: Early Transcendentals 8th Edition

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

Chapter 3 - Review - Exercises: 27

Answer

$\dfrac {2}{\left( 1+2x\right) \times \ln 5}$

Work Step by Step

$\dfrac {d}{dx}\left( \log _{5}\left( 1+2x\right) \right) =\dfrac {1}{1+2x}\times \dfrac {1}{\ln 5}\times \left( \dfrac {d}{dx}\left( 1+2x\right) \right) =\dfrac {2}{\left( 1+2x\right) \times \ln 5}$
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