Найти производную : Х-1/1+е^х

Question

Найти производную : Х-1/1+е^х

Answer 1

F(x)=(x-1)/(1+eˇx)
f´(x)=(1.(1+eˇx)-(x-1).eˇx)/(1+eˇx)ˇ2=
=(1+eˇx-x.eˇx-eˇx)/(1+eˇx)ˇ2=
=(1-x.eˇx)/(1+eˇx)ˇ2