Suppose I have a function f(x,y) I would like to optimize, subject to constraint g(x,y)=0.(adsbygoogle = window.adsbygoogle || []).push({});

Let H=f+λg,

The extrema occurs at (x,y) which satisfy

H_{y}=0

H_{x}=0

g(x,y)=0

Suppose the solutions are (a,b) and (c,d).

If f(a,b)=f(c,d) , how do I determine whether they are maxima or minima?

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# Constrained Extrema and Lagrange Multipliers

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