Answer
$\frac{1}{2}p^{-1/2}-1$
Work Step by Step
Rewrite as $p^{1/2}-p$
Differentiate using the power and constant multiple rule. Keep the constant, bring down the original power (n), and multiply by $p^{n−1}$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 3 - Section 3.1 - Derivatives of Polynomials and Exponential Functions - 3.1 Exercises - Page 180: 17
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