F(x,y) = (2*y+1)*e^(x^2-y)(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Homework Help: Optimization in Several Variables

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