Calculus 10th Edition

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

Chapter 2 - Differentiation - 2.4 Exercises: 8

Answer

$y'=-60x^2(2-x^3)^3.$

Work Step by Step

$u=2-x^3$; $\dfrac{du}{dx}=-3x^2$ $y=5u^4; \dfrac{dy}{du}=20u^3$ $\dfrac{dy}{dx}=\dfrac{dy}{du}\times\dfrac{du}{dx}=20(2-x^3)^3(-3x^2)=-60x^2(2-x^3)^3.$
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