Finding Maxima, Minima, and Saddle Points with Lagrange Multipliers

[ythamsten]

I'm currently having some trouble, after the procedure of finding the actual values for the multipliers and the points, but how come can I figure out whether which points that I've collected are maxima, minima or just saddle ones. I've taken a look on lots of books, but I can't seem to find something that helps me out with a method that I can apply in general. The closest I reached of something useful was called the 'Bordered Hessian', which was fairly similar to usual optimization, but where I was reading, the criteria was described in kind of a fuzzy way. Can someone help me? Or at least indicate where I can find this in a clear way? Thanks!

 

[zoki85]

This should help you

 

[ythamsten]

It surely did zoki85! Thanks a lot.