Answer
$\dfrac{dy}{dx}=-\dfrac{\sqrt{3}}{3}.$
Work Step by Step
$y=C\cos{x}\rightarrow \dfrac{dy}{dx}=-C\sin{x}.$
When $C=\dfrac{2}{3}$ and $x=\dfrac{\pi}{3}\rightarrow\dfrac{dy}{dx}=-\frac{2}{3}\sin{\frac{\pi}{3}}=-\dfrac{\sqrt{3}}{3}.$
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: d
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