MHT CET20228 Aug 2022Evening ShiftMathematicsDifferentiationActual
If f(x)= ⁻¹ ( 2 x 1+x^2 )+ ⁻¹ ( 1-x^2 1+x^2 ), x (1, ) , then f^ (x)
Options
- A-4 1+x^2
- B0
- C2 x 1-x^2
- D4 1+x^2
Correct answer
B. 0
Step-by-step solution
aligned & f(x)= ⁻¹ ( 2 x 1+x^2 )+ ⁻¹ ( 1-x^2 1+x^2 ) & f(x)= ⁻¹ ( 2 1+ ^2 )+ ⁻¹ ( 1- ^2 1+ ^2 ) & f(x)= ⁻¹( 2 )+ ⁻¹( 2 ) & f(x)= -2 +2 = & f^ (x)=0 aligned