{"title":"15课","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":"{\"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}","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
摘要
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。
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.