Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.2 Exercises - Page 114: 9

Answer

The derivative is $\frac{1}{5\sqrt[5] {x^4}}$

Work Step by Step

To solve this question, it involved a bit of rearrangement and usage of the power rule. The function can be rewritten as $x^{1/5}$. Using the power rule, we get the derivative to be $1/5*x^{-4/5}$ which can be rewritten as $\frac{1}{5\sqrt[5] {x^4}}$.
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