Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Practice Exercises - Page 177: 6



Work Step by Step

Use the Power Rule to take the derivative of each term in the equation. First, keep the first term, and take the derivative of the second term, multiplying them together. Then add the second term multiplied with the derivative of the first term.: $y'=(2x-5)\times-1(4-x)^{-2}\times-1+(4-x)^{-1}\times2$ $=(2x-5)(4-x)^{-2}+2(4-x)^{-1}$
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