Answer
$y'=\frac{-1}{2\sqrt (x(1-x))}$
Work Step by Step
Use the derivative of inverse cosine with the chain rule and simplify: $y'=\frac{-1}{\sqrt (1-(\sqrt x)^2}\times1/2(x)^{-1/2}$
After simplifying:
$y'=\frac{-1}{2\sqrt (x(1-x))}$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 3 - Section 3.5 - Implicit Differentiation - 3.5 Exercises - Page 216: 52
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