Question 1031598
{{{drawing(400,240,-3,2,-1,2,
green(line(-2,-.3678794412,1,-.3678794412)),
circle(-1,-0.36787944,0.07),circle(-1,-0.36787944,0.05),circle(-1,-0.36787944,0.03),circle(-1,-0.36787944,0.01),



graph(400,240,-3,2,-1,2,x*exp(x))   )}}}{{{matrix(9,1,
matrix(1,3,derivative,""="",slope),
"f(x)"=x*e^x,
"f'(x)"=x*e^x + e^x,
"f'(x)"=e^x*expr((x+1)),
e^x*expr((x+1))=0,
matrix(1,3,e^x=0,";",x+1=0),
matrix(1,3,x=-infinity,";",x=-1),
matrix(1,3,"answer:","",x=-1),""



)}}}