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 178: 38

Answer

$y'=3(3x-4)^{-19/20}$

Work Step by Step

Rewrite the equation: $y=20(3x-4)^{1/20}$ Take the derivative of the equation using Power Rule and Chain Rule: $y'=20\times\frac{1}{20}(3x-4)^{-19/20}\times3=3(3x-4)^{-19/20}$
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