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MHT CET20225 Aug 2022Evening ShiftMathematicsDifferentiationActual

If x=e^ ( x y ) , then d y d x =

Options

  1. Ax-y x y
  2. Bx-y y x
  3. Cx-y x x
  4. Dx+y x x

Correct answer

C. x-y x x

Step-by-step solution

x=e^ ( x y ) _e x= x y y _e x=x Differentiating both sides w.r.t x we get d y d x _e x+y 1 x =1 d y d x x _e x+y=x d y d x = x-y x _e x Change the option (C) as x-y x x

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