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 - Page 140: 13


$f'(x)=\pi$$x^{\pi-1}-\frac{\sqrt {10}}{x^{(1+\sqrt {10})}}$

Work Step by Step

$f(x)=x^{\pi}+\frac{1}{x^{\sqrt {10}}}=x^{\pi}+x^{-\sqrt {10}}$ $f'(x)=\pi$$x^{\pi-1}-\sqrt {10}x^{-\sqrt {10}-1}$ $f'(x)=\pi$$x^{\pi-1}-\frac{\sqrt {10}}{x^{(1+\sqrt {10})}}$
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