Question part points submissions used find dy/dx by implicit differentiation. x sin(y) + y sin(x) = 2

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10-10-2017
Mathematics

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Question part points submissions used find dy/dx by implicit differentiation. x sin(y) + y sin(x) = 2

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ejelonubenedict ejelonubenedict · Answer 1 · 2017-10-14T15:35:01+02:00

ejelonubenedict ejelonubenedict

14-10-2017

using the product rule
xCos(y)dy/dx + sin(y) + ycos(x)+sin(x)dy/dx = 0
xcosydy/dx + sin(x)dy/dx = -sin(y) - ycos(x)
(xcos(y) + sin(x))dy/dx = -sin(y) - ycos(x)
dy/dx = [-sin(y) - ycos(x)]/ {xcos(y) + sin(x)}

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