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: 3

Answer

$y' = 12x^3-18x^2+\dfrac{1}{4}x$

Work Step by Step

In order to derivate this function you have to apply the power rule: $\dfrac{d}{dx}(x^n)=nx^{n-1}$ $y' = 3(4)x^3-6(3)x^2+\dfrac{1}{8}(2)x$ $y' = 12x^3-18x^2+\dfrac{1}{4}x$
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