Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Review - Exercises - Page 267: 6



Work Step by Step

Start with the function $y=xcos^{-1}(x)$. Use the product rule and inverse cosine rules to differentiate: $y'=1*cos^{-1}(x)+x*(-\frac{1}{\sqrt{1-x^2}})$. Simplify to arrive at answer: $y'=cos^{-1}(x)-\frac{x}{\sqrt{1-x^2}}$.
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