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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Originally Posted by tttcomrader Suppose that the function has first order partial derivatives and that the point is a local minimizer for f. Prove that . As is a local minimiser of , then is a local minimum of the 1-D minimisation of where is the unit vector in the direction of the -th axis. Hence: so: CB
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