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MHT CET20225 Aug 2022Morning ShiftMathematicsDifferentiationActual

If y =y=e^ ⁻¹ ( 1-x^2 ) , then 1 y d y d x

Options

  1. A1-x^2 2
  2. B1-x^2
  3. C1 1-x^2
  4. D1 2 1-x^2

Correct answer

C. 1 1-x^2

Step-by-step solution

aligned & y=e^ ⁻¹ ( 1-x^2 ) & _e y= ⁻¹ 1-x^2 aligned Diff. w.r.t. x 1 y d y d x = -1 1- (1-x^2 ) 1 2 1-x^2 (-2 x)= 2 x 2 x^2 1-x^2 = 1 1-x^2

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