英语翻译微分中值定理是微分学的基本定理,在微分学中占有非常重要的地位,深入研究其对学生掌握解题技巧、理解数学思想方法、提

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英语翻译

微分中值定理是微分学的基本定理,在微分学中占有非常重要的地位,深入研究其对学生掌握解题技巧、理解数学思想方法、提高思维能力有很大益处.本论文首先介绍了罗尔中值定理、拉格朗日中值定理、柯西中值定理的内容及其推广形式,其次,给出了中值定理的应用：证明函数零点、中值公式；利用有限增量导出新的中值公式；证明等式、不等式、单调性等问题；最后,对泰勒中值定理及其简单应用进行了探讨.

翻译要用数学的专用英语

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Differential mean value theorem occupies an important position in the differential calculus.

Differential Mean Value Theorem for students master problem-solving skills, understanding of mathematical thinking, improve thinking ability is useful.

This paper first introduces the Rolle theorem, the content and form of the Lagrange mean value theorem, Cauchy Mean Value Theorem.

Second, given the application of the mean value theorem: to prove that the function is zero, the value of the formula; limited incremental export in value formula; proof of equations, inequalities, and monotonicity;

Finally, the analysis of Taylor in the mean value theorem and its applications.

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