Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - Review - Exercises: 14

Answer

$\dfrac {3}{5\sqrt [5] {x^{8}}}-\dfrac {1}{2\sqrt {x^{3}}}$

Work Step by Step

$y=\dfrac {1}{\sqrt {x}}-\dfrac {1}{\sqrt [5] {x^{3}}}=x^{-\dfrac {1}{2}}-x^{-\dfrac {3}{5}}\Rightarrow y'=-\dfrac {1}{2}x^{-\dfrac {3}{2}}+\dfrac {3}{5}x^{-\dfrac {8}{5}}=\dfrac {3}{5\sqrt [5] {x^{8}}}-\dfrac {1}{2\sqrt {x^{3}}}$
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