求解多元函数极值与条件极值的探讨

Discussion on solving the extreme value of multivariate function and conditional extreme value

函数的概念应用较为广泛,最初我们研究一元函数极值与最值相关知识,但随着问题的深入及实际问题的烦琐性,单凭借一元函数是解决不了问题的,通过以二元函数极值概念为例,拓展到多元函数极值的相关知识,从多元函数的定义、多元函数极值的判别方法,以及多元函数条件极值的求法等多方面展开,简述多元函数在高等数学中的广泛应用。

The concept of function is widely used. At first we studied the knowledge of the extremum and the most value of the unary function,but with the deepening of the problem and the cumbersomeness of the actual problem,the unary function can not solve the problem by using the binary function. As an example,the concept of extremum is extended to the knowledge of the extremum of multivariate functions,from the definition of multivariate functions,the method of discriminating the extremum of multivariate functions,and the method of finding the extremum of multivariate functions,the widely application of multivariate functions in advanced mathematics.