Answer
$-\frac{1}{6}$
Work Step by Step
$xy=6$
$\frac{d}{dx}(xy)=\frac{d}{dx}6$
$y+x\frac{dy}{dx}=0$
$\frac{dy}{dx}=-\frac{y}{x}$
$(-6,-1)$
$-\frac{(-1)}{(-6)}=-\frac{1}{6}$
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 - 2.5 Exercises - Page 145: 21
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