COMEDK2017MathematicsDifferentiation
Differentiate ⁻¹ ( 1-x 1+x ) w.r.t. x .
Options
- A1 1+x
- B1 x(1+x)
- C1 (1+x) x
- D-1 (1+x) x
Correct answer
C. 1 (1+x) x
Step-by-step solution
Let y= ⁻¹ ( 1-x 1+x ) aligned & Put x= ² & aligned &= ⁻¹ x y &= ⁻¹ ( 1- ² 1+ ² ) &= ⁻¹( 2 )=2 =2 ⁻¹ x d y d x &=2 d d x ( ⁻¹ x ) &=2 1 1+x 1 2 x = 1 x (1+x) aligned aligned