Ok i am going to try and beat spiral flex to this.
y = xe^x
Using product rule to differentiate
y' = e^x + xe^x
= e^x(1+x)
At S.P y' = 0
Therefore x = -1
Using the table of values to determine the nature. The curve should be a minimum turning point at (-1,-1/e)
2. Expand it out
2xe^x +...