MHT CET202415 May 2024Evening ShiftMathematicsBasics of MathematicsActual
If y= x^ 2 3 -x^ -1 3 x^ 2 3 +x^ -1 3 , x 0 , then (x+1)^2 y₁=
Options
- A2
- B-2
- C-1 3
- D3
Correct answer
A. 2
Step-by-step solution
aligned y & = x^ 2 3 -x^ - 1 3 x^ 2 3 +x^ - 1 3 & = x^ - 1 3 (x-1) x^ - 1 3 (x+1) y & = x-1 x+1 & ~d y ~d x = (x+1) 1-(x-1) 1 (x+1)^2 & ~d y ~d x = 2 (x+1)^2 & (x+1)^2 ~d y ~d x =2 aligned