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MHT CET202015 Oct 2020Evening ShiftMathematicsDifferentiationActual

If y = ⁻¹ [ x- 1-x² x+ 1-x² ] , then ( d y d x )=

Options

  1. A-1 1-x²
  2. B-x 1-x²
  3. C1 1-x²
  4. Dx 1-x²

Correct answer

C. 1 1-x²

Step-by-step solution

Given y= ⁻¹ [ x- 1-x² x+ 1-x² ] Put x= = ⁻¹ xy= ⁻¹ [ - + ]= ⁻¹ [ 1- 1+ ] = ⁻¹ [ ( 4 - ) ]= 4 - d y d x = 4 - ⁻¹ x aligned y &= 1 1-x² y &= 1 1-x² aligned

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