Find the critical points of the following constrained optimization problem
and check that they are non-degenerate. Determine the local minima and maxima.
Then grad is equivalent to
(1), (2), and (3) implies that
so with constraint (4) we have
Now I'm supposed to use the Hessian of L which I think is
This is where I get lost.....
I think I need to find the determinate of the bordered Hessian and find a tangent vector to somehow check if it is non-degenerate and determine the local minima and maxima.
Can anyone please help?
Thanks in advance.