{"title":"直观数学经济学系列。链式法则与隐式函数的导数","authors":"S. Pernice","doi":"10.2139/ssrn.3333441","DOIUrl":null,"url":null,"abstract":"In this paper we present some elements of calculus for economics: the chain rule and extended chain rule for calculation of derivatives of composite functions, and differentiation of functions defined implicitly.The emphasis, as always in this series, is in providing a pedagogical, intuitive presentation to these topics.","PeriodicalId":299310,"journal":{"name":"Econometrics: Mathematical Methods & Programming eJournal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Intuitive Mathematical Economics Series. Chain Rule and Derivatives of Functions Defined Implicitly\",\"authors\":\"S. Pernice\",\"doi\":\"10.2139/ssrn.3333441\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we present some elements of calculus for economics: the chain rule and extended chain rule for calculation of derivatives of composite functions, and differentiation of functions defined implicitly.The emphasis, as always in this series, is in providing a pedagogical, intuitive presentation to these topics.\",\"PeriodicalId\":299310,\"journal\":{\"name\":\"Econometrics: Mathematical Methods & Programming eJournal\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Econometrics: Mathematical Methods & Programming eJournal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.3333441\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Econometrics: Mathematical Methods & Programming eJournal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3333441","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Intuitive Mathematical Economics Series. Chain Rule and Derivatives of Functions Defined Implicitly
In this paper we present some elements of calculus for economics: the chain rule and extended chain rule for calculation of derivatives of composite functions, and differentiation of functions defined implicitly.The emphasis, as always in this series, is in providing a pedagogical, intuitive presentation to these topics.