本文使用二次型的理论进行判断，并将问题扩大为求任意多元函数的极值。
This paper USES the theory of quadratic form to distinguish this problem, not only that, it enlarge to calculate extreme value for function of many variable.
本文中，利用目标函数或约束条件的几何性质，提供了某些多元函数极值或最值问题的几何解法。
In the paper, it provides the geometrical solution to extreme value of many variables function by geometric properties of objective function or constraint condition.
本文给出了利用梯度判定多元函数极值的判别法，并提供了若干范例。
In this paper we give a method of test, which makes use of the gradient, to verify the extreme value of multivariate function, and give some typical examples.
本文给出一类多元函数—三元函数是否存在极值的快速判别方法，并讨论它在实际问题中的应用。
In this paper, a convenient judgement method about extreme value of one class multivariate functions-trivariate functions was given, and its application in reality was discussed.
利用函数行列式求得多元函数在附加条件下的可能极值点。
Striving for the possible extreme value points of poly function with addition condition by using the function processions.
利用二次型的理论，给出解决多元函数极值问题的另一种方法。
Through the quadratic form theory, another solution to the extremum problem of function of several variables is given.
利用多元函数极值的定义和偏导数的定义公式证明二元函数与一元函数在某点取得极值的关系。
This article use the diverse function extremum and the local derivative's definition formula to prove the relation between extremum obtained by the two function and the dollar function at some point.
将一元函数和二元函数极值的部分判别方法推广到多元函数极值的判别，提出了判定多元函数极值的几个方法。
The extreme conditions for the monovariate functions were applied to the multivariate functions and then an effective method to decide the extreme values for the multivariate functions was presented.
将一元函数和二元函数极值的部分判别方法推广到多元函数极值的判别，提出了判定多元函数极值的几个方法。
The extreme conditions for the monovariate functions were applied to the multivariate functions and then an effective method to decide the extreme values for the multivariate functions was presented.
应用推荐