Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.3 Introduction To Techniques Of Differentiation - Exercises Set 2.3 - Page 140: 44

Answer

(a) $ y''' = 0$ (b) $y''' = -72x^{-5} -24x^{-4}$ (c) $y''' = 24ax$

Work Step by Step

(a) $y' = 10x-4$ $\Rightarrow y'' = 10$ $\Rightarrow y''' = 0$ (b) $y' = -6x^{-3} -4x^{-2} + 1$ $\Rightarrow y'' = 18x^{-4} +8x^{-3}$ $\Rightarrow y''' = -72x^{-5} -24x^{-4}$ (c) $y' = 4ax^{3} +2bx$ $\Rightarrow y'' = 12ax^{2} + 2b$ $\Rightarrow y''' = 24ax$
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