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: 21

Answer

$-\frac{1}{6}$

Work Step by Step

$xy=6$ $\frac{d}{dx}(xy)=\frac{d}{dx}6$ $y+x\frac{dy}{dx}=0$ $\frac{dy}{dx}=-\frac{y}{x}$ $(-6,-1)$ $-\frac{(-1)}{(-6)}=-\frac{1}{6}$
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