Thomas' Calculus 13th Edition

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

Chapter 3: Derivatives - Section 3.9 - Linearization and Differentials - Exercises 3.9 - Page 175: 21

Answer

$\frac{-2x}{\sqrt{1-x^4}}$

Work Step by Step

$ y=cos^{-1}(x^2)$ =$\frac{dy}{dx}=-\frac{2x}{\sqrt{1-(x^2)^2}}$ =$\frac{-2x}{\sqrt{1-x^4}}$
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