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: c

Answer

$\dfrac{dy}{dx}=\sqrt{3}.$

Work Step by Step

$ax=by\rightarrow y=\frac{a}{b}x$ $\dfrac{dy}{dx}=\dfrac{a}{b}$ When $a=\sqrt{3}$ and $b=1\rightarrow \dfrac{dy}{dx}=\dfrac{\sqrt{3}}{1}=\sqrt{3}.$ Note: By rewriting the equation and using the Power Rule, the derivative was found. An alternate method would be to apply the Chain Rule immediately. Both methods are correct and lead to the same answer.
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