Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.5 Exercises: 1

Answer

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

Work Step by Step

Using Implicit Differentiation: $\dfrac{d}{dx}(x^2)+\dfrac{d}{dx}(y^2)=\dfrac{d}{dx}(9)\rightarrow$ $2x+\dfrac{dy}{dx}(2y)=0\rightarrow$ $\dfrac{dy}{dx}(-2y)=2x\rightarrow$ $\dfrac{dy}{dx}=-\dfrac{x}{y}.$
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