Find the derivative of the function `(x.e^(x))` with respect 'x'.

Explanation

Let `y=x.e^(x)`
`rArr(dy)/(dx)=(d)/(dx)(x.e^(x))=x.(d)/(dx)e^(x)+e^(x).(d)/(dx).x`
`=x.e^(x)+e^(x).1=e^(x)(x+1)`.