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: 13

Answer

$y' = -24x^{-5}+21x^{-4}-3x^{-2}$

Work Step by Step

In order to derivate this function you have to apply the power rule: $\dfrac{d}{dx}(x^n)=nx^{n-1}$ But first let's rewrite the function $y = 6x^{-4}-7x^{-3}+3x^{-1}+\sqrt{5}$ then: $y' = 6(-4)x^{-5}-7(-3)x^{-4}+3(-1)x^{-2}$ $y' = -24x^{-5}+21x^{-4}-3x^{-2}$
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