Answer
$\frac{dy}{dx}=-\frac{x}{y}$
Work Step by Step
Take the derivative of the whole argument in respect to $x$, giving $2x+2y\frac{dy}{dx}=0.$ Subtract 2x from each side and divide by $2y$ to get $\frac{dy}{dx}=-\frac{x}{y}$.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 2 - The Derivative - 2.7 Implicit Differentiation - Exercises Set 2.7 - Page 166: 3
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