{"title":"Lesson 15","authors":"Dianne Draze","doi":"10.2307/j.ctv9hvsw7.27","DOIUrl":null,"url":null,"abstract":"1. Find all critical numbers. (Recall: Critical numbers are in the domain of the function where ( ) 0 f x ′ = or where ( ) f x ′ is undefined.) 2. Compute ) ( ' ' c f for each critical number c. (a) If 0 ) ( ' ' > c f , then f has a relative minimum at c. (b) If 0 ) ( ' ' < c f , then f has a relative maximum at c. (c) If 0 ) ( ' ' = c f , then the test fails. It is inconclusive. Try another method.","PeriodicalId":186958,"journal":{"name":"Math-a-Logic","volume":"77 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Math-a-Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2307/j.ctv9hvsw7.27","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
1. Find all critical numbers. (Recall: Critical numbers are in the domain of the function where ( ) 0 f x ′ = or where ( ) f x ′ is undefined.) 2. Compute ) ( ' ' c f for each critical number c. (a) If 0 ) ( ' ' > c f , then f has a relative minimum at c. (b) If 0 ) ( ' ' < c f , then f has a relative maximum at c. (c) If 0 ) ( ' ' = c f , then the test fails. It is inconclusive. Try another method.
1. 求出所有临界数。(回想一下:临界数是在函数域中，其中()0 f x ' =或()f x '未定义。)(a)如果0)(' ' >c f，则f在c处有相对最小值。(b)如果0)(' ' < c f，则f在c处有相对最大值。(c)如果0)(' ' = c f，则测试失败。这是不确定的。试试另一种方法。
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