基于求多元函数极值应注意问题的研究

Problems Deserving Attention in Evaluating the Extremum of Multivariate Function

求多元函数极值是高等数学的重要知识点,在数学学习中有着非常广泛的应用。我们在解决实际问题的过程中,经常会碰到求多元函数的最大值或最小值之类的问题,多元函数极值与之关系十分密切,掌握和理解多元函数极值的有关问题对于我们处理实际问题有着很大的促进作用。在求多元函数极值的过程中,有几个问题必须掌握清楚,既多元函数极值的概念,多元函数极值的判定方法,多元函数条件极值以及多元函数极值的求法,对于这些问题,本文将一一进行解答。

Evaluating the extreme value of multivariate function is an important knowledge point of Advanced Mathematics, and has a very wide range of applications in the learning of mathematics. In the process of solving actual problems, we often need to evaluate the maximum or minimum value of multivariate function, and the extreme value of multivariate function has a very close with it, to grasp and understand the extreme value of multivariate function has a great promotion for us to solve actual problems. In the process of evaluating extremum of multivariate function, several problems must be mastered - that is, concept of extremum of multivariate function, judgment method of extremum of multivariate function, conditional extremum of multivariate function and evaluation methods of extremum of multivariate function, which will be solved one by one in this paper.