Answer
$\dfrac{dy}{dx}=-4.$
Work Step by Step
$\dfrac{d}{dx}(xy)=\dfrac{d}{dx}(C)\rightarrow$
$y+\dfrac{dy}{dx}(x)=0\rightarrow\dfrac{dy}{dx}=-\dfrac{y}{x}.$
When $x=1$ and $y=4\rightarrow\dfrac{dy}{dx}=-\dfrac{4}{1}=-4.$
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 - Section Project - Optical Illusions - Page 147: b
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