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: 12

Answer

$\frac{1}{2x}$

Work Step by Step

Using the log rule of $log(a^b)=blog(a)$, the expression can be written as $\frac{1}{2}ln(x)$. Taking the derivative of this expression equals $\frac{1}{2x}$.
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