Calculus, 10th Edition (Anton)

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: 3

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 $\frac{dy}{dx}=-\frac{x}{y}$.
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