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微分中值定理的推广
The Extension of Differential Mean Theorem
【摘要】 给出微分学中的中值定理的推广的一个结论,将微分学中的Cauchy中值定理以及Lagrange中值定理作为此推广结论的特殊.另外对推广定理的证明所作的辅助函数解释了它的意义。
【Abstract】 This paper gives a theorem of mean extension conclusion in the differential calculus,and takes the Cauchy’s mean theorem and Lagrange’s mean theorem as a peculiarity of extending conclusion.Moreover the significance of the auxiliary function which does the proof of extending the theorem is explained.
【关键词】 Cauchy中值定理;
Lagrange中值定理;
辅助函数;
【Key words】 Cauchy’s mean theorem; Lagrange’s mean theorem; the auxiliary function;
【Key words】 Cauchy’s mean theorem; Lagrange’s mean theorem; the auxiliary function;
- 【文献出处】 四川教育学院学报 ,Journal of Sichuan College of Education , 编辑部邮箱 ,2010年09期
- 【分类号】O172.1
- 【下载频次】522