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Find dy/dx if x sin y + y sin x = 0. - Mathematics and Statistics

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प्रश्न

Find dy/dx if x sin y + y sin x = 0.

उत्तर

x sin y + y sin x = 0
Differentiate w.r.t. x both side

`[xcosy dy/dx+siny]+[ycosx+sinxdy/dx]=0`

`therefore siny+ycosx=dy/dx(-sinx-xcosy)`

`therefore dy/dx=-((siny+ycosx)/(sinx+xcosy))`

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2016-2017 (March)

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