Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - Review Exercises - Page 157: 46

Answer

$h''(x)=36x^{-4}+14.$

Work Step by Step

Using the Power Rule: $h'(x)=(-2)(6x^{-2-1})+(2)(7)(x^{2-1})=-12x^{-3}+14x.$ Using the Power Rule: $h''(x)=(-12)(-3)x^{-3-1}+14\rightarrow36x^{-4}+14.$$ $
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