简析微分中值定理的条件反例

简析微分中值定理的条件反例

摘要:本文通过对微分中值定理的条件✌稍作ღ改变，构造反例，从而说明,微分中值定理的条件是完备的。且通过对条件的分析，列出定理之间的联系。

关键词：反例；费马定理；罗尔定理；拉格朗日中值定理；柯西中值定理。

Primary analysis of counter-example

in mean value theorem of differentials

Abstract:Constructing the counter-examples by changing the conditions in mean value theorem of differentials,the present paper confirms the condi➳tions in mean value theorem of differentials is abundant.At the same time,the relation of theorems is pointed out by analysiบs of the conditions.

Keywords: C♀ounter-example; Fermat’s theorem; Rolle’s theorem; Lagrange’s mean value theorem; Cauchy’s mean value theorem.