MHT CET20227 Aug 2022Evening ShiftMathematicsDifferentiationActual
If y= ⁻¹ ( 5 x+12 1-x^2 13 ) , then d y d x =
Options
- A2 1-x^2
- Bx 1-x^2
- C-1 1-x^2
- D-x 1-x^2
Correct answer
C. -1 1-x^2
Step-by-step solution
aligned & y= ⁻¹ ( 5 x+12 1-x^2 13 ) & y= -1 (x 5 13 + 12 13 1-x^2 ) aligned [let x= i.e., = ⁻¹ X and = 1-X^2 also let 5 13 = i.e. . 12 13 = ] aligned & y= ⁻¹( + ) & y= -1 ( + ) & d y d x = 1 1-x^2 +0= 1 1-x^2 aligned