Suppose that the function has first order partial derivatives and that the point is a local minimizer for f.

Prove that .

Proof so far.

Now,

Now, x is a local min implies that if , we will have

So how should I incorporate them together? Thanks.

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- Apr 20th 2009, 07:56 PMtttcomraderLocal extrema in multiple variables
Suppose that the function has first order partial derivatives and that the point is a local minimizer for f.

Prove that .

Proof so far.

Now,

Now, x is a local min implies that if , we will have

So how should I incorporate them together? Thanks. - Apr 21st 2009, 05:06 AMCaptainBlack