Pub Date : 2019-12-31DOI: 10.1515/9780691189413-009
F. Terzioglu
In this chapter we will study various applications of the derivative. For example, we will use methods of calculus to analyze functions and their graphs. Another important application of the derivative will be in the solution of optimization problems. For example, if time is the main consideration in a problem, we might be interested in finding the quickest way to perform a task, and if cost is the main consideration, we might be interested in finding the least expensive way to perform a task. Mathematically, optimization problems can be reduced to finding the largest or smallest value of a function on some interval, and determining where the largest or smallest value occurs. Using the derivative, we will develop the mathematical tools necessary for solving such problems.
{"title":"4. Applications of Differentiation","authors":"F. Terzioglu","doi":"10.1515/9780691189413-009","DOIUrl":"https://doi.org/10.1515/9780691189413-009","url":null,"abstract":"In this chapter we will study various applications of the derivative. For example, we will use methods of calculus to analyze functions and their graphs. Another important application of the derivative will be in the solution of optimization problems. For example, if time is the main consideration in a problem, we might be interested in finding the quickest way to perform a task, and if cost is the main consideration, we might be interested in finding the least expensive way to perform a task. Mathematically, optimization problems can be reduced to finding the largest or smallest value of a function on some interval, and determining where the largest or smallest value occurs. Using the derivative, we will develop the mathematical tools necessary for solving such problems.","PeriodicalId":359082,"journal":{"name":"Calculus Simplified","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129075395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-31DOI: 10.1515/9780691189413-013
{"title":"Appendix A: Review of Algebra and Geometry","authors":"","doi":"10.1515/9780691189413-013","DOIUrl":"https://doi.org/10.1515/9780691189413-013","url":null,"abstract":"","PeriodicalId":359082,"journal":{"name":"Calculus Simplified","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117329304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-31DOI: 10.1515/9780691189413-004
Ltpd Summary
{"title":"Before You Begin ...","authors":"Ltpd Summary","doi":"10.1515/9780691189413-004","DOIUrl":"https://doi.org/10.1515/9780691189413-004","url":null,"abstract":"","PeriodicalId":359082,"journal":{"name":"Calculus Simplified","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126999438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-31DOI: 10.1515/9780691189413-007
{"title":"2. Limits: How to Approach Indefinitely (and Thus Never Arrive)","authors":"","doi":"10.1515/9780691189413-007","DOIUrl":"https://doi.org/10.1515/9780691189413-007","url":null,"abstract":"","PeriodicalId":359082,"journal":{"name":"Calculus Simplified","volume":"156 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130686508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-31DOI: 10.1515/9780691189413-006
{"title":"1. The Fast Track Introduction to Calculus","authors":"","doi":"10.1515/9780691189413-006","DOIUrl":"https://doi.org/10.1515/9780691189413-006","url":null,"abstract":"","PeriodicalId":359082,"journal":{"name":"Calculus Simplified","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128903839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：