In this papery we discussed the the extremum of function of several variables , and generalized the result of paper [ 2 ] , then we give the method of solving the extrme value of n - component function using first class partial derivative 摘要讨论了多元函数极值的问题,推广了文献[ 2 ]的结果,并给出了利用一阶偏导数求多元函数极值的方法。