摘 要：众所周知，隐函数定理是微分学中最重要的定理之一。现代数学中微分几何,微分拓扑，微分方程，变分学，数值分析等等都从不同角度，不同程度地受这个定理的思想和方法的深刻影响。从而对于隐函数的研究也很必要，用最普通的话来说，隐函数问题就是解方程的问题。本文对隐函数的极值进行求解，运用Mathematics程序，更加高效的求出隐函数的极值，从而加深对隐函数的了解。 

关键词： 隐函数的极值； Mathematics程序;

Abstract :As we all know, the implicit function theorem is one of the most important theorems in the differential calculus. Modern mathematics, differential geometry, differential topology, differential equations, calculus of variations, numerical analysis, the differences theory and so on from different angles, to varying degrees by the profound impact of the ideas and methods of this theorem. The implicit function is necessary, the most common words, the implicit function is the solution to the problem of the equation. To solve the extreme value of the implicit function, the use of the Mathematics program, find the extreme value of the implicit function more efficient, thereby enhancing their understanding of implicit function.

Keywords: the extreme value of the implicit function;  Mathematics program.