導數在經濟領域的應用——最優(yōu)化分析

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目錄
1.摘要····························································· 3
2.引言····························································· 4
3.導數····························································· 5
3.1導數的概念及意義···············································4
3.2經濟分析中的常用導數···········································5
4.導數在經濟分析中的應用·············································6
4.1邊際分析及其應用·············································· 7
4.2需求價格彈性分析及其應用····································· 8
4.3收入價格彈性分析及其應用····································· 11
5.最優(yōu)化分析及案例··················································12
5.1邊際函數求最低成本············································13
5.2邊際函數求最大利潤············································14
5.3資源合理利用的最優(yōu)化分析······································16
6.結論······························································ 19
參考文獻···························································· 20
致謝································································ 21

摘 要
數學是一種適于定量分析的比較嚴密的抽象符號系統，具有較強的客觀性，對經濟學家來說，將數學作為分析工具，不僅僅可以給企業(yè)經營者提供客觀、精確的數據，更突出的作用是能夠在一定程度上避免主觀因素所產生的負面影響。本文靈活運用導數這一核心概念，就導數在經濟領域中的應用，分別對邊際分析、彈性分析以及最優(yōu)化分析問題進行探討。著重探究導數在最優(yōu)化分析上的應用，主要從最低成本，最大利潤以及資源最優(yōu)調配這三個方面進行討論。通過給出導數在經濟領域中的應用實例，旨在印證討論的正確性和嚴謹性，拓寬分析問題的思路，提高解決實際問題的能力，同時說明運導數分析問題在經濟領域的重要性。
關鍵詞：導數；經濟學；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