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簡(jiǎn)析微分中值定理的條件反例
簡(jiǎn)析微分中值定理的條件反例
摘要:本文通過(guò)對(duì)微分中值定理的條件稍作改變，構(gòu)造反例，從而說(shuō)明,微分中值定理的條件是完備的。且通過(guò)對(duì)條件的分析，列出定理之間的聯(lián)系。
關(guān)鍵詞：反例；費(fèi)馬定理；羅爾定理；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 conditions in mean value theorem of differentials is abundant.At the same time,the relation of theorems is pointed out by analysis of the conditions.
Keywords: Counter-example; Fermat’s theorem; Rolle’s theorem; Lagrange’s mean value theorem; Cauchy’s mean value theorem.
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