MHT CET202211 Aug 2022Morning ShiftMathematicsDifferentiationActual
The derivative of ⁻¹ ( 1+x - 1-x 1+x + 1-x ) is
Options
- Ax
- B1 2 1-x^2
- C1 1-x^2
- D1-x^2
Correct answer
B. 1 2 1-x^2
Step-by-step solution
aligned & y= ⁻¹ ( 1+x - 1-x 1+x + 1-x ) let x= 2 & = 1 2 ⁻¹ x & y= ⁻¹ ( 1+ 2 - 1- 2 1+ 2 + 1- 2 ) & y= ⁻¹ ( 2 - 2 2 + 2 )= ⁻¹ ( 1- 1+ ) & y= ⁻¹ ( 4 - )= 4 - = 4 - 1 2 ⁻¹ x & d y d x =0- 1 2 -1 1-x^2 = 1 2 1-x^2 aligned