Answer
$y'=\frac{2x}{1+x^4}$
Work Step by Step
Use the derivative of inverse tangent ($\frac{1}{1+x^2}$) and apply the chain rule to find the derivative of the equation:
$y'=\frac{1}{1+(x^2)^2}\times2x=\frac{2x}{1+x^4}$
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: 50
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