n元函数的微分中值定理

THE MEAN VALUE THEOREM FOR DIFFERENTIAL IN N-VARIATE FUNCTION

本文将一元函数的微分中值定理推广到了n元函数。对定理中存在的0,讨论了它的变化趋势,得到在一定条件下,最后给出了定理的简单应用。

This article extends the mean value theorem for differential of one-variate function to that of n-variate function.The changing tendency of the θ existing in the theorem is discussed and under certain conditions,theresult is worked out to be;And the simple application of the theorem is given at the end of the article.