Respuesta :

Stiaen
[tex]\dfrac{d}{dx}\left(xe^{x}\right)=\dfrac{d}{dx}(x)\times e^x+x\times\dfrac{d}{dx}\left(e^x\right)\\\\=1\times e^x+xe^x\\\\=e^x+xe^x\\\\Factorised:\\=e^x(x+1)[/tex]

I used this prop: [tex]\;\;(f\times g)'=f'\timesg+f\times g'[/tex]

So it's true