HSC Arts 12th Board ExamMaharashtra State Board
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Find dy/dx if x sin y + y sin x = 0. - HSC Arts 12th Board Exam - Mathematics and Statistics

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Question

Find dy/dx if x sin y + y sin x = 0.

Solution

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))`

  Is there an error in this question or solution?

APPEARS IN

 2016-2017 (March) (with solutions)
Question 4.2.1 | 2.00 marks
Solution Find dy/dx if x sin y + y sin x = 0. Concept: Derivatives of Implicit Functions.
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