MAT 1330 Lecture 10: Ch13 Optimization-file

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MAT 1330 Full Course Notes
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MAT 1330 Full Course Notes
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Elizabeth maltais: optimization ( nov. 1 ) Nd critical numbers using f00 nd ip candidates using all sketch the graph of f. Nd asymptotes: horizontal/vertical classify extrema: local min/max locate in ection points determine behaviour: increasing/decreasing determine curvature: concave up/concave down label: intercepts, asymptotes, extrema, and in ection points. An absolute/global maximum at x = c if f (c) zffy forallxinthedomainoff. The value f (c) is called the absolute/global maximum value of f. An absolute/global minimum at x = c if. Fk ) ef( ) forallxinthedomainoff absolute/global minimum value of f. The max/min values of f are called extreme values. A function f can attain its max/min values at many numbers. 11 ( also attained at infinitely many #s) Some functions do not have max and/or min values. These notes are solely for the personal use of students registered in mat1330; their creator does not give permission for this material to be uploaded or shared online.

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