多元函數(shù)的極值與最值

韓建邦??李承杭

【摘要】求函數(shù)的極值是高等數(shù)學(xué)中導(dǎo)數(shù)的一個(gè)重要應(yīng)用，特別是多元函數(shù)極值的應(yīng)用，與現(xiàn)實(shí)生活聯(lián)系更是緊密，因而能否熟練掌握求多元函數(shù)的極值的方法和技巧對(duì)于深入學(xué)習(xí)和研究數(shù)學(xué)至關(guān)重要。本文主要論述二元函數(shù)的極值的概念、性質(zhì)、定理，通過(guò)具體實(shí)例討論二元函數(shù)的極值。

【關(guān)鍵詞】多元函數(shù)的極值；導(dǎo)數(shù)；高等數(shù)學(xué)

【Abstract】 The extremum of function in higher mathematics is an important application of the derivative，especially the application of multivariate function extreme value，but also strong connection with real life.Understanding of multivariate function extreme value theory and processing is one of the professional and non-professional mathematics mathematics respectively，thus can master methods and techniques of multivariate function extreme value is very important to further study and research of mathematical analysis.This article discusses the concept of the function extreme value，nature，theorem，an example to discuss the function of extreme value to simplify the original complex problem.

【key words】multivariate function extremum；derivative；higher mathematics

【中圖分類號(hào)】O172 【文獻(xiàn)標(biāo)識(shí)碼】B 【文章編號(hào)】2095-3089（2017）05-0014-02

一、二元函數(shù)極值的相關(guān)理論

1.二元函數(shù)極值的定義

參考文獻(xiàn)

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