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: 14

Answer

$y' = -18x^{-7}-5x^{-6}+14x^{-3}$

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 $y = 3x^{-6}+x^{-5}-7x^{-2}$ then $y' = 3(-6)x^{-7}+(-5)x^{-6}-7(-2)x^{-3}$ $y' = -18x^{-7}-5x^{-6}+14x^{-3}$
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