函数条件极值的若干求法  

Some methods to find the conditional extremum of functions

作　　者：鲁翠仙 

机构地区：[1]临沧师范高等专科学校数理系,云南临沧677099

出　　处：《齐齐哈尔大学学报（自然科学版）》2013年第3期79-81,共3页Journal of Qiqihar University(Natural Science Edition)

基　　金：云南省教育厅科学研究基金重点项目(2012 Z150C);云南省教育厅科学研究基金一般项目(2012 Y273)

摘　　要：在生活、工农业生产、经济管理和经济核算中,常常要解决在一定条件下要怎么做才会使投入最小,产出最多,效益最高、求利润最大化、用料最省等实际问题,而这些问题的解决就转化到了数学中极值问题,而函数的极值问题技巧性强、难度大、解法灵活,所以函数极值求法的探讨也具有了其重要意义。本文就求函数极值的一些常用方法作了总结,并通过典型例题阐明了求函数极值时,应针对不同的题目的特点选用不同的方法。In the life, industrial mad agricultural production, the economic management and economical accounting, we usually need to solve some practical problems such as how to resolve the minimum input, maximum output, highest benefit, maximize profit, materials most provinces under certain conditions. The solution of these problems is transformed into extreme in mathematics, but these function extreme valve problems are skilled much, hard, flexible, agile. Therefore, discussing the method of solving function extreme has important significance. This paper summarizes some commonly used methods to find the function extremum, and illustrates that we should choose different methods based on the characteristics of the different questions through some typical examples.

关 键 词：函数 条件极值 方法 

分 类 号：O24[理学—计算数学]