Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 4 - Calculating the Derivative - 4.1 Techniques for Finding Derivatives - 4.1 Exercises - Page 207: 15


$p'(x) = 5x^{-3/2}-12x^{-5/2}$

Work Step by Step

In order to derivate this function you have to apply the power rule: $\dfrac{d}{dx}(x^n)=nx^{n-1}$ $p'(x) = -10(-\dfrac{1}{2})x^{-3/2}+8(-\dfrac{3}{2})x^{-5/2}$ $p'(x) = 5x^{-3/2}-12x^{-5/2}$
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