MHT CET202015 Oct 2020Evening ShiftMathematicsDifferentiationActual
If y = ⁻¹ [ x- 1-x² x+ 1-x² ] , then ( d y d x )=
Options
- A-1 1-x²
- B-x 1-x²
- C1 1-x²
- 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