Its is a bit ambiguous how you typed it. Is the e^x a part of the power? i.e. Should it be written:

x^(2e^x) - exe^x + 2e^x

or is it

(x^2)e^x - exe^x + 2e^x

If you meant the first one, then the derivative is:

2e^(2e^x)x^(2e^x) - 2xe^x

If you meant the second one, then the derivative is:

(x^2)e^x

You just have to know the product rule. If you meant the first equation, then you need the chain rule and the product rule.

Hope I helped!