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AP EAMCET2007MathematicsDifferentiation

If 2 x^2-3 x y+y^2+x+2 y-8=0 , then d y d x is equal to

Options

  1. A3 y-4 x-1 2 y-3 x+2
  2. B3 y+4 x+1 2 y+3 x+2
  3. C3 y-4 x+1 2 y-3 x-2
  4. D3 y-4 x+1 2 y+3 x+2

Correct answer

A. 3 y-4 x-1 2 y-3 x+2

Step-by-step solution

We have, 2 x^2-3 x y+y^2+x+2 y-8=0 On differentiating w.r.t. x , we get array ll 4 x-3 x d y d x -3 y+2 y d y d x +1+ 2 d y d x -0=0 & 4 x+(-3 x+2 y+2) d y d x -3 y+1=0 & d y d x = 3 y-4 x-1 2 y-3 x+2 array

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