[SOLVED] Optimization in Several Variables

F(x,y) = (2*y+1)*e^(x^2-y)

Find critical point and prove there is only one.

Use second derivative test to determine nature of crit. pt.

*I know the procedure in solving it: set partial derivatives to zero and solve resulting equations. And by second derivative test, if D>0, f(a,b) is local min/max; D<0, (a,b) is saddle point. if f_xx(a,b)>0, f(a,b) is min*

where D=D(a,b)=f_xx(a,b)f_yy(a,b)-f_xy(a,b)^2

I have no idea how to get the partial derivatives and start the problem. Any help will be appreciated, thanks.