{"id":392,"date":"2023-07-03T05:06:38","date_gmt":"2023-07-03T05:06:38","guid":{"rendered":"https:\/\/mathority.org\/id\/penyimpangan-arcsecant\/"},"modified":"2023-07-03T05:06:38","modified_gmt":"2023-07-03T05:06:38","slug":"penyimpangan-arcsecant","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/penyimpangan-arcsecant\/","title":{"rendered":"Turunan arcsecant"},"content":{"rendered":"<p>Di halaman ini Anda akan melihat turunan dari arcsecant (rumus). Anda akan menemukan latihan terpecahkan untuk turunan arcsecant suatu fungsi. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-del-arcosecante\"><\/span> Rumus turunan arcsecant<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Turunan garis potong busur x adalah satu perkalian x dengan akar x kuadrat dikurangi 1.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c711ae2ad7e63c11dadabe5b1fa34460_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{x\\cdot \\sqrt{x^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"439\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, <strong>turunan garis potong busur suatu fungsi<\/strong> sama dengan hasil bagi turunan fungsi tersebut dibagi fungsi dikalikan akar fungsi tersebut kuadrat dikurangi satu.<\/p>\n<p class=\"has-text-align-center\"><meta charset=\"utf-8\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8101c1f6c91528fc3a8c0a3c35509c2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\sqrt{u^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"439\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Tentunya rumus kedua ini mirip dengan rumus pertama, yang membedakan keduanya hanyalah aturan rantai yang diterapkan pada rumus kedua. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/derive-darcosecant.webp\" alt=\"turunan dari arcsecant\" class=\"wp-image-2718\" width=\"411\" height=\"292\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Meskipun mungkin tampak aneh karena merupakan fungsi invers, turunan dari garis potong busur tidak ada hubungannya dengan turunan dari garis potong. Rumus turunan garis potong dapat Anda lihat dengan mengklik di sini:<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-dari-garis-potong\/\">turunan dari garis potong<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-arcosecante\"><\/span> Contoh turunan arcsecant <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" id=\"block-46cfc7df-b680-41c2-ad53-bd8a19834b32\"> Contoh 1<\/h3>\n<p> Dalam contoh ini, kita akan melihat berapa turunan garis potong busur dari fungsi linier 7x.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9191ef645841e7a1f497896df1a8b14e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(7x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-2a112ce1-0dbe-43d5-95b3-4d8506c1a246\"> Untuk mencari turunan dari garis potong busur Anda harus menerapkan rumus yang sesuai, yaitu sebagai berikut: <\/p>\n<p class=\"has-text-align-center\" id=\"block-f73c7b5e-fb98-43c1-a3bb-52c9144eee8a\"><meta charset=\"utf-8\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8101c1f6c91528fc3a8c0a3c35509c2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\sqrt{u^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"439\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p id=\"block-a4fe1876-f662-49c1-8d09-6a6c4b5528dd\"> Turunan fungsi 7x adalah 7, maka turunan garis potong busur fungsi 7x adalah: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-095e6d51d8dc9dd49fa9cefb1c115ea3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(7x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{7}{7x\\cdot \\sqrt{(7x)^2-1}}=\\cfrac{1}{x\\cdot \\sqrt{49x^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"93\" width=\"582\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" id=\"block-1446420a-0d61-44d3-9e31-8c5935a432a7\"> Contoh 2<\/h3>\n<p> Dalam contoh kedua ini, kita akan menurunkan garis potong busur dari suatu fungsi potensial.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-109aa2df6a4b0a2d174e98c663b78dca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(x^4-5x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-0514a2ea-d85a-4b25-a7db-9c27533e7436\"> Karena terdapat suku selain x dalam argumen fungsi arcsecant, kita perlu menerapkan aturan turunan arcsecant dengan aturan rantai untuk menurunkan seluruh fungsi. <\/p>\n<p class=\"has-text-align-center\" id=\"block-86fe6911-58a5-4f15-be8f-9e340c0a1401\"><meta charset=\"utf-8\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8101c1f6c91528fc3a8c0a3c35509c2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{u\\cdot \\sqrt{u^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"439\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p id=\"block-6abf3c5a-c400-48c6-8375-c05fcb255b20\"> Jadi, di pembilangnya kita tuliskan turunan dari argumen fungsi tersebut, dan di penyebutnya kita tulis ulang fungsi potensialnya dan kalikan dengan akar kuadrat dari fungsi argumen yang dipangkatkan 2 dikurangi 1: <\/p>\n<p class=\"has-text-align-center\" id=\"block-99708268-e595-48a1-8a30-244af13d52f2\"><meta charset=\"utf-8\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-13a238ac3f7cb034fec6d5ae6b5b3826_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsec}(x^4-5x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{4x^3-10x}{(x^4-5x^2)\\cdot \\sqrt{\\left(x^4-5x^2\\right)^2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"80\" width=\"582\" style=\"vertical-align: -30px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Di halaman ini Anda akan melihat turunan dari arcsecant (rumus). Anda akan menemukan latihan terpecahkan untuk turunan arcsecant suatu fungsi. Rumus turunan arcsecant Turunan garis potong busur x adalah satu perkalian x dengan akar x kuadrat dikurangi 1. Oleh karena itu, turunan garis potong busur suatu fungsi sama dengan hasil bagi turunan fungsi tersebut dibagi &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/penyimpangan-arcsecant\/\"> <span class=\"screen-reader-text\">Turunan arcsecant<\/span> Selengkapnya &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[38],"tags":[],"class_list":["post-392","post","type-post","status-publish","format-standard","hentry","category-derivatif"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Turunan dari arcsecant - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/id\/penyimpangan-arcsecant\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Turunan dari arcsecant - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di halaman ini Anda akan melihat turunan dari arcsecant (rumus). Anda akan menemukan latihan terpecahkan untuk turunan arcsecant suatu fungsi. Rumus turunan arcsecant Turunan garis potong busur x adalah satu perkalian x dengan akar x kuadrat dikurangi 1. 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