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MHT CET202012 Oct 2020Evening ShiftMathematicsDifferentiationActual

If x + y = x y , then d y d x =

Options

  1. A- ( y x )^ 3 2
  2. B( x y )^ 3 2
  3. C- ( x y )^ 3 2
  4. D( y x )^ 3 2

Correct answer

A. - ( y x )^ 3 2

Step-by-step solution

We have x + y = x y Dividing both sides by x y , we get 1 y + 1 x =1 Differentiating both sides w.r.t. x , we get aligned & ( -1 2 ) ( 1 y^ 3 / 2 ) ( d y d x )- ( 1 2 ) ( 1 x^ 3 / 2 )=0 & d y d x =- ( y x )^ 3 / 2 aligned

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