The paper discusses the value distributions of the derivative of differential monomials, presents a new theorem and proves it in more details.
讨论了一般微分单项式的导数的值分布，提出一个新的定理，并进行较为详细的证明。
This article gives a spreading form of the mean value theorem of differential and applies the gained results to the quality of convex function.
给出了微分中值定理的一个推广形式，并将所得结果应用于凸函数性质的研究。
Differential medial value theorem is the basic theorem of the calculus.
微分中值定理是微分学的基本定理。
Constructing auxiliary functions is the key in using differential mean value theorem to solve problems; there are many methods for constructing auxiliary functions.
构造辅助函数是利用微分中值定理解决问题的关键，构造辅助函数的方法较多。
In this paper, the differential mean value theorem of real analysis is extended to the complex analysis and correspondence results are obtained.
本文将实分析中的微分中值定理推广到复分析中，得到了相应的结果。
In the article, a simple and elementary proof of monotonicity is given for the so-called extended mean values using Tchebycheff s integral inequality and the mean-value theorem for differential.
本文利用切比雪夫积分不等式和微分中值定理，对所谓的双参数拓广平均的单调递增性给出一种简单的证明。
Using the contraction mapping principle, we proved a theorem about the existence of solution for initial value problem of a class of implicit ordinary differential equations of the first order.
本文应用压缩映象原理证明了一阶隐式微分方程解的存在唯一性定理。
Using the contraction mapping principle, we proved a theorem about the existence of solution for initial value problem of a class of implicit ordinary differential equations of the first order.
本文应用压缩映象原理证明了一阶隐式微分方程解的存在唯一性定理。
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