AP EAMCET202022 Sep 2020Evening ShiftMathematicsDifferentiationActual
Express d t d x = t (x+t e^ -2 x / 4 ) in the form of d x d t = ( x t )
Options
- Ax t +e^ -2 ( x t )
- Bx t -e^ -2 ( x t )
- Cx t +e^ 2 ( x t )
- Dx t -e^ 2 ( x t )
Correct answer
A. x t +e^ -2 ( x t )
Step-by-step solution
d t d x = t x+t e^ -2 x t On reciprocal, we get d x d t = x+t e^ -2 x t t = ( x t )+e^ -2 ( x t ) Hence, option (1) is correct.