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: 10


$=\frac{1}{2\sqrt x}-\frac{1}{x^{2}}$.

Work Step by Step

Convert all monomials into powers of x by using exponent rules. Therefore, $f(x)$ becomes $x^{1/2}+x^{-1}$. Finally, using the power rule for derivatives ($[x^{n}]'=nx^{n-1}$) gives you $=\frac{1}{2\sqrt x}-\frac{1}{x^{2}}$.
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