Study on the Relations and Differences of Differential Mean Value Theorems

DOI

10.2991/icmii-15.2015.16How to use a DOI?

Keywords

Roll’s theorem; Lagrange’s theorem; Cauchy’s theorem

Abstract

The differential mean value theorem plays an important role in the differential calculus. In this paper, by comparing and analyzing the premise conditions and conclusions of three differential mean value theorems, we discuss the similarities and differences between them at first. Then, according to different principles, we summarize two kinds of typical methods of proving Lagrange's theorem and Cauchy's theorem which will be helpful for readers to understand the differential mean value theorems.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xin Wang
AU  - Shiqin Wang
AU  - Cheng Wang
PY  - 2015/10
DA  - 2015/10
TI  - Study on the Relations and Differences of Differential Mean Value Theorems
BT  - Proceedings of the 3rd International Conference on Mechatronics and Industrial Informatics
PB  - Atlantis Press
SP  - 85
EP  - 88
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmii-15.2015.16
DO  - 10.2991/icmii-15.2015.16
ID  - Wang2015/10
ER  -