隐函数的极值求法

The Extreme Value Method of Implicit Function

利用隐函数存在唯一性定理和可微性定理将显函数极值存在的各种相关定理和求解方法推广到隐函数的情形,得到有关隐函数极值问题的一些命题,并举实例应用这些命题。

Using the existence and uniqueness theorem and differentiability theorem of the implicit function authors extend some relevant theorems and solving method of explicit function to the case of implicit function, some propositions of the extreme value of the implicit function, and then give some examples to apply th propositions.