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MHT CET20227 Aug 2022Morning ShiftMathematicsDifferentiationActual

If x^y=e^ x-y , then d y d x =

Options

  1. Ax 1+ x
  2. Bx x(1+ x)^2
  3. Cx (1+ x)^2
  4. Dx x (1+ x)^2

Correct answer

C. x (1+ x)^2

Step-by-step solution

x^y=e^ x-y aligned & d y d x x+y 1 x =1- d y d x & d y d x = x-y x(1+ x) & d y d x = x (1+ x)^2 [ Putting y= x 1+ x from (i)] . aligned

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