Calculus 10th Edition

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

Chapter 2 - Differentiation - 2.5 Exercises: 10

Answer

$\dfrac{dy}{dx}=\dfrac{\sin{x}\sin{y}}{\cos{x}\cos{y}}.$

Work Step by Step

$4\dfrac{d}{dx}(\cos{x}\sin{y})=\dfrac{d}{dx}(1)$ $4(-\sin{x}\sin{y}+\dfrac{dy}{dx}(\cos{y}\cos{x}))=0\rightarrow$ $\dfrac{dy}{dx}=\dfrac{\sin{x}\sin{y}}{\cos{x}\cos{y}}.$
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