Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.2 Derivatives And Integrals Involving Logarithmic Functions - Exercises Set 6.2 - Page 425: 3

Answer

$y' = \dfrac{1}{1+x}$

Work Step by Step

In order to derivate this function you have to apply the chain rule $f'(x) = \dfrac{u'}{u}$, where $u=1+x$ and $u' = 1$ $y' = \dfrac{1}{1+x}$
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