- #1
Safinaz
- 259
- 8
Hello,
I have this potential:
## V(\chi) = \frac { F ’’ (\chi) [ 2 F(\chi) - \chi F’ (\chi) ]}{ (F’(\chi))^3} ##
How to get
## \frac{ d V(\chi)}{d \chi} = \frac{ \chi F’’ + F’ - F’ }{ F’^2} - 2 \frac{ \chi F’ -F }{ F’^3} F’’ ~~~~~~(*)##
My trail,
## V( \chi) = 2 F F’’ F’^{-3} - \chi F’’ F’^{-2} ##
## \frac{ d V(\chi)}{d \chi} = 2 F’’ F’^{-2} + 2 F F’’’ F’^{-3} - 6 F F’’^2 F’^{-4} - F’’ F’^{-2} - \chi F’’’ F’^{-2} + 2 \chi F”^2 F’^{-3} ##,
which is not close to (*) !