導(dǎo)數(shù)在經(jīng)濟(jì)領(lǐng)域的應(yīng)用——最優(yōu)化分析

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目錄
1.摘要····························································· 3
2.引言····························································· 4
3.導(dǎo)數(shù)····························································· 5
3.1導(dǎo)數(shù)的概念及意義···············································4
3.2經(jīng)濟(jì)分析中的常用導(dǎo)數(shù)···········································5
4.導(dǎo)數(shù)在經(jīng)濟(jì)分析中的應(yīng)用·············································6
4.1邊際分析及其應(yīng)用·············································· 7
4.2需求價(jià)格彈性分析及其應(yīng)用····································· 8
4.3收入價(jià)格彈性分析及其應(yīng)用····································· 11
5.最優(yōu)化分析及案例··················································12
5.1邊際函數(shù)求最低成本············································13
5.2邊際函數(shù)求最大利潤············································14
5.3資源合理利用的最優(yōu)化分析······································16
6.結(jié)論······························································ 19
參考文獻(xiàn)···························································· 20
致謝································································ 21

摘 要
數(shù)學(xué)是一種適于定量分析的比較嚴(yán)密的抽象符號(hào)系統(tǒng)，具有較強(qiáng)的客觀性，對(duì)經(jīng)濟(jì)學(xué)家來說，將數(shù)學(xué)作為分析工具，不僅僅可以給企業(yè)經(jīng)營者提供客觀、精確的數(shù)據(jù)，更突出的作用是能夠在一定程度上避免主觀因素所產(chǎn)生的負(fù)面影響。本文靈活運(yùn)用導(dǎo)數(shù)這一核心概念，就導(dǎo)數(shù)在經(jīng)濟(jì)領(lǐng)域中的應(yīng)用，分別對(duì)邊際分析、彈性分析以及最優(yōu)化分析問題進(jìn)行探討。著重探究導(dǎo)數(shù)在最優(yōu)化分析上的應(yīng)用，主要從最低成本，最大利潤以及資源最優(yōu)調(diào)配這三個(gè)方面進(jìn)行討論。通過給出導(dǎo)數(shù)在經(jīng)濟(jì)領(lǐng)域中的應(yīng)用實(shí)例，旨在印證討論的正確性和嚴(yán)謹(jǐn)性，拓寬分析問題的思路，提高解決實(shí)際問題的能力，同時(shí)說明運(yùn)導(dǎo)數(shù)分析問題在經(jīng)濟(jì)領(lǐng)域的重要性。
關(guān)鍵詞：導(dǎo)數(shù)；經(jīng)濟(jì)學(xué)；邊際分析；彈性分析；最優(yōu)化分析


Derivative applications in economics ——optimization analysis
Abstract Math is a relatively tight for the quantitative analysis of abstract symbol systems, with a strong objectivity, for economists, mathematics as an analytical tool, not only can give business owners to provide objective, accurate data, more prominent role subjective factor can avoid the negative effects produced by a certain extent. In this paper, the flexible use of derivative core concept, the derivatives in the economic sphere of application of marginal analysis, respectively, elastic analysis and optimization analysis of issues were discussed. Focused on exploring derivative optimization analysis applications, mainly from the lowest cost, the maximum profit and the optimal allocation of resources to these three areas for discussion. Application examples are given by the derivative in the economic field, aims to discuss and confirm the correctness of rigor, broaden our thinking to analyze problems and improve the ability to solve practical problems, while the importance of transportation derivative analysis of the problem in the economic field.

Keywords: derivative; economics; marginal analysis; elastic analysis; optimization analysis