lecture 10 optimization problems for multivariable functions local maxima and minima critical points relevant section from the textbook by stewart 14 7 our goal is to now nd maximum and ...
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...Lecture optimization problems for multivariable functions local maxima and minima critical points relevant section from the textbook by stewart our goal is to now nd maximum or minimum values of several variables e g f x y over prescribed domains as in case single variable we must rst establish notion such recall that a point function real which either i ii undened are possible candidates at attains value an interval also if it could be iii inection can determine nature this look provided exists up have encountered three types two graph sketched below z o aplot countours level sets will help us understand behaviour around its plot originally presented c some shown again satisfy equation they concentric circles radius centered approaches zero above these get smaller set corresponding represents achieved denition seems quite straightforward but state here sake completeness you ll apoint b there circle cr r all lying inside notes many books term relative used instead exact not important w...