问题描述：
英语翻译
微分中值定理是一系列中值定理总称,是微分学的基本定理之一,它作为函数与其导数之间的纽带,在高等数学之中占据了极其重要的地位,是重要的数学工具.本文中总结归纳了微分中值定理的证明及其应用,以及新的延伸拓展尝试.并且讨论了罗尔定理、拉格朗日中值定理以及柯西中值定理的内在联系以及几何意义.
问题解答：
我来补答
The differential mean value theorem is a series of mean value theorems in general,is one of the fundamental theorem of the calculus,it as a link between the function and its derivative,occupies a very important position in higher mathematics,are important mathematical tools.This paper sums up the proof of differential mean theorem and its application,and a new extension to try.And discusses the Rolle theorem,Lagrange mean value theorem and Cauchy mean value theorem and the geometric meaning of internal relations.
再问： 多谢大神，再帮我翻译一句吧：
本文着重通过加深微分中值定理的理解来解决实际应用中的问题。
再答： This article through to deepen understanding of the differential mean value theorem to solve practical problems.
