AP EAMCET202022 Sep 2020Evening ShiftMathematicsDifferentiationActual
d d x (1+x^2 ) ⁻¹(x) =
Options
- Ax ⁻¹(x)
- B2 ⁻¹(x)
- C2 x ⁻¹(x)+1
- Dx ⁻¹(x)+1
Correct answer
C. 2 x ⁻¹(x)+1
Step-by-step solution
We have, gathered d d x (u v)=u d v d x +v d v d x d d x [(1+x)^2 ⁻¹(x) ]= (1+x^2 ) d d x ⁻¹ x+ d d x (1+x^2 ) ⁻¹ x = (1+x^2 ) 1 1+x^2 +(2 x) ⁻¹ x =1+2 x ⁻¹ x=2 x ⁻¹ x+1 gathered Hence, option (3) is correct.