导数在经济分析中的应用——以需求弹性计算为例  

Application of derivative in economic analysis:A case study on the calculation of demand elasticity

作　　者：杨雄[1] 周立芬 YANG Xiong;ZHOU Lifen(Department of Public Teaching,Loudi Vocational and Technical College,Loudi Hunan 417000;Mathematics Group,No.1 High School of Shaoyang County,Shaoyang Hunan 422100)

机构地区：[1]娄底职业技术学院公共课教学部,湖南娄底417000 [2]邵阳县第一高级中学数学组,湖南邵阳422100

出　　处：《辽宁师专学报（自然科学版）》2023年第4期6-10,47,共6页Journal of Liaoning Normal College(Natural Science Edition)

基　　金：2022年湖南省社会科学成果评审委员会课题(XSP22YBC054);2022年娄底职业技术学院教学改革研究项目(LZJY22BZC01)。

摘　　要：为了加深学生对导数定义的理解,引导学生应用导数思想解决实际问题,以需求弹性计算为例,介绍了导数在经济分析中的应用.引入了需求弹性定义,发现弹性分析是相对增量与相对变化率的极限,并进一步对需求弹性的定义、需求弹性与收益的关系、需求弹性的计算进行探讨,为制定正确的营销策略提供参考.In order to deepen students′ understanding of the definition of derivative and guide the students to apply derivative thinking to solving practical problems, this paper introduced the application of derivative in economic analysis by taking the calculation of demand elasticity as an example. The definition of demand elasticity was introduced, and it was found that elasticity analysis was the limit of relative increment and relative change rate. In addition, the definition of demand elasticity, the relationship between demand elasticity and income, and the calculation of demand elasticity were discussed, which provided reference for formulating the correct marketing strategy.

关 键 词：需求弹性 收益 弧弹性 点弹性 

分 类 号：G642[文化科学—高等教育学] O171[文化科学—教育学]