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: 6

Answer

$f'(x) = -3x^{0.5}+6x^{-0.5}$

Work Step by Step

In order to derivate this function you have to apply the power rule: $\dfrac{d}{dx}(x^n)=nx^{n-1}$ $f'(x) = -2(1.5)x^{0.5}+12(0.5)x^{-0.5}$ $f'(x) = -3x^{0.5}+6x^{-0.5}$
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