Answer
$\frac{dy}{dx}=-\frac{x}{y}$
Work Step by Step
Using implicit differientiation:
$\frac{d}{dx}(x^{2}+y^{2})=\frac{d}{dx}(64)$
$2x+2y\frac{dy}{dx}=0$
$2y\frac{dy}{dx}=-2x$
$\frac{dy}{dx}=\frac{-2x}{2y}$
$=-\frac{x}{y}$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 2 - Differentiation - Review Exercises - Page 158: 77
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