Calculus, 10th Edition (Anton)

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

Chapter 2 - The Derivative - 2.3 Introduction To Techniques Of Differentiation - Exercises Set 2.3: 8

Answer

$=\frac{2}{5}x.$

Work Step by Step

Distribute the $\frac{1}{5}$ through the $x^{2}+1$ to get $\frac{1}{5}x^{2}+\frac{1}{5}$. Finally, use the power rule for derivatives ($[x^{n}]'=nx^{n-1}$) to get $\frac{2}{5}x^{2-1}+0=\frac{2}{5}x.$
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