Need a bit of help

Determine

a.) All the critical numbers

b.) all relative extrema

$\displaystyle y(x)=(x-1)e^{2x}$

I'm thinking my derivative is ...

$\displaystyle 2*(x-1)*(1)*e^{2x}$

Multiple choice:

a.){$\displaystyle \frac{1}{2}$,max}

b.){0,min}

c.) {$\displaystyle \frac{1}{2}$, min}

d.) none of these

I'm thinking it is $\displaystyle \frac{1}{2}$ min