Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - Section Project - Optical Illusions: d

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 $x=\dfrac{\pi}{3}\rightarrow\dfrac{dy}{dx}=-\frac{2}{3}\sin{\frac{\pi}{3}}=-\dfrac{\sqrt{3}}{3}.$
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