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: 12

Answer

$f'(x)=-42x^{-7}-\frac{5}{2\sqrt x}$

Work Step by Step

$f(x)=7x^{-6}-5\sqrt x=7x^{-6}-5x^{\frac{1}{2}}$ $f'(x)=7(-6)x^{-6-1}-5(\frac{1}{2})x^{\frac{1}{2}-1}$ $f'(x)=-42x^{-7}-(\frac{5}{2})x^{-\frac{1}{2}}$ $f'(x)=-42x^{-7}-\frac{5}{2\sqrt x}$
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