MHT CET202019 Oct 2020Morning ShiftMathematicsDifferentiationActual
The derivative of ⁻¹ ( 1+x + 1-x 2 ) w.r.t. ⁻¹ x is
Options
- A1 2
- B- 1 2
- C-1
- D1
Correct answer
A. 1 2
Step-by-step solution
(B) Put x= , Then = ⁻¹ x aligned [ 1+x + 1-x 2 ] &= [ 1+ + 1- 2 ]= [ 2 ² 2 + 2 ² 2 2 ] &= 2 2 2 + 2 2 2 = 1 2 2 + 1 2 2 &= 4 2 + 4 2 = ( 4 + 2 ) aligned y= ⁻¹ ( ( 4 + 2 ) )= 4 + 2 = 4 + ⁻¹ x 2 d y d x = 1 2 -1 1-x² = -1 2 1-x²