作者ilovecurl (ilovecurl)
看板trans_math
标题[考古] 政大应数89微积分一
时间Fri Jun 30 00:37:44 2006
5.Suppose that f(x),f'(x),f''(x) are all continuous on an interval I
and that x1属於interval I is a critical point of f(x). Using Taylor's
Formula proves the following statement.
a. If f''(x)>=0 for all x属於I,then x1 is a global minimizer of f(x) on I
b. If f''(x1)>0, then x1 is a strict local minimizer of f(x).
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