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 - Page 145: 2

Answer

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

Work Step by Step

$\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(y^2)=\dfrac{d}{dx}(25)$\rightarrow $2x-\dfrac{dy}{dx}(2y)=0\rightarrow$ $\dfrac{dy}{dx}=\dfrac{x}{y}.$
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