{"id":398,"date":"2023-07-03T02:11:56","date_gmt":"2023-07-03T02:11:56","guid":{"rendered":"https:\/\/mathority.org\/id\/turunan-dari-arcsecant-hiperbolik\/"},"modified":"2023-07-03T02:11:56","modified_gmt":"2023-07-03T02:11:56","slug":"turunan-dari-arcsecant-hiperbolik","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/turunan-dari-arcsecant-hiperbolik\/","title":{"rendered":"Turunan dari arcsecant hiperbolik"},"content":{"rendered":"<p>Di sini Anda akan menemukan cara menghitung turunan dari garis potong busur hiperbolik suatu fungsi. Selain itu, Anda akan dapat melihat contoh penyelesaian turunan dari garis potong busur hiperbolik. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-la-arcosecante-hiperbolica\"><\/span> Rumus turunan busur hiperbolik<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Turunan dari garis potong busur hiperbolik dari x sama dengan negatif 1 dibagi hasil kali x dengan akar satu dikurangi x kuadrat.<\/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-30fd2d0fe7abd6d3774eaff22e8e762e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{-1}{x\\sqrt{1-x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"435\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, <strong>turunan garis potong busur hiperbolik suatu fungsi<\/strong> adalah dikurangi turunan fungsi tersebut dibagi dengan hasil kali fungsi tersebut dengan akar satu dikurangi fungsi kuadrat.<\/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-12cb116a10cdca4bf5b49f2d06d69a58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{-u'}{u\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"435\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Secara singkat rumus turunan fungsi arcsecant hiperbolik adalah: <\/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-de-larcosecant-hyperbolique.webp\" alt=\"berasal dari arcsecant hiperbolik\" class=\"wp-image-2786\" width=\"395\" height=\"281\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Kedua ekspresi sebenarnya sesuai dengan rumus yang sama, namun aturan rantai diterapkan pada rumus kedua. Faktanya, jika Anda mensubstitusikan fungsi identitas x ke u, Anda akan mendapatkan rumus pertama karena turunan dari x adalah 1. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-la-arcosecante-hiperbolica\"><\/span> Contoh turunan dari arcsecant hiperbolik<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah melihat rumus turunan dari garis potong busur hiperbolik, kita akan menyelesaikan dua latihan langkah demi langkah jenis turunan trigonometri terbalik ini. Jadi, Anda dapat melihat dengan tepat cara menurunkan garis potong busur hiperbolik suatu fungsi.<\/p>\n<h3 class=\"wp-block-heading\"> Contoh 1<\/h3>\n<p> Pada contoh ini, kita akan menentukan turunan dari garis potong busur hiperbolik 2x.<\/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-a4e859277c6f50c7ea081153c8e79781_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Dalam argumen garis potong busur hiperbolik, kita mempunyai fungsi selain x, jadi kita perlu menggunakan rumus aturan rantai untuk menurunkannya:<\/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-12cb116a10cdca4bf5b49f2d06d69a58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{-u'}{u\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"435\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Fungsi 2x linier, jadi turunannya adalah 2. Oleh karena itu, untuk mencari turunannya, kita cukup mensubstitusikan 2x untuk u dan 2 untuk u&#8217; ke dalam rumus:<\/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-85f083f6c0009277265cca483ec04ac9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{-2}{2x\\sqrt{1-(2x)^2}}=\\cfrac{-2}{2x\\sqrt{1-4x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"582\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Contoh 2<\/h3>\n<p> Dalam latihan kedua ini, kita akan menurunkan garis potong busur hiperbolik dari fungsi polinomial:<\/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-0fc71b56d622872d79c469d74504f0fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(x^3-4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Fungsi latihan ini bersifat majemuk, karena garis potong busur hiperbolik mempunyai fungsi lain dalam argumennya. Jadi kita perlu menggunakan rumus turunan busur hiperbolik dengan aturan rantai untuk melakukan penurunannya:<\/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-12cb116a10cdca4bf5b49f2d06d69a58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsech}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{-u'}{u\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"435\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, pada pembilang pecahan kita masukkan turunan dari fungsi polinomial argumen tersebut, dan pada penyebut kita ubah u dengan fungsi polinomial: <\/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-1f6389de5c7761fb5d35a9861156eec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f(x)=\\text{arcsech}(x^3-4x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black}f'(x)&amp;=\\cfrac{-(3x^2-4)}{(x^3-4x)\\sqrt{1-(x^3-4x)^2}}\\\\[1.5ex] &amp;=\\cfrac{-3x^2+4}{(x^3-4x)\\sqrt{1-(x^3-4x)^2}}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"117\" width=\"610\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"articulos-relacionados\"><\/span> Barang Serupa<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-dari-garis-potong-hiperbolik\/\">Turunan garis potong hiperbolik<\/a><\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/\">Turunan arcsinus hiperbolik<\/a><\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-sinus-hiperbolik\/\">Turunan dari sinus hiperbolik<\/a><\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/penyimpangan-arcsecant\/\">Turunan arcsecant<\/a><\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-dari-garis-potong\/\">turunan dari garis potong<\/a><\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-larcosine\/\">turunan arcsinus<\/a><\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-sinus\/\">berasal dari sinus<\/a><\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Di sini Anda akan menemukan cara menghitung turunan dari garis potong busur hiperbolik suatu fungsi. Selain itu, Anda akan dapat melihat contoh penyelesaian turunan dari garis potong busur hiperbolik. Rumus turunan busur hiperbolik Turunan dari garis potong busur hiperbolik dari x sama dengan negatif 1 dibagi hasil kali x dengan akar satu dikurangi x kuadrat. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/turunan-dari-arcsecant-hiperbolik\/\"> <span class=\"screen-reader-text\">Turunan dari arcsecant hiperbolik<\/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-398","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 hiperbolik - 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\/turunan-dari-arcsecant-hiperbolik\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Turunan dari arcsecant hiperbolik - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan cara menghitung turunan dari garis potong busur hiperbolik suatu fungsi. 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Rumus turunan busur hiperbolik Turunan dari garis potong busur hiperbolik dari x sama dengan negatif 1 dibagi hasil kali x dengan akar satu dikurangi x kuadrat. &hellip; Turunan dari arcsecant hiperbolik Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/turunan-dari-arcsecant-hiperbolik\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-03T02:11:56+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30fd2d0fe7abd6d3774eaff22e8e762e_l3.png\" \/>\n<meta name=\"author\" content=\"Tim Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Tim Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/turunan-dari-arcsecant-hiperbolik\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/turunan-dari-arcsecant-hiperbolik\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Turunan dari arcsecant hiperbolik\",\"datePublished\":\"2023-07-03T02:11:56+00:00\",\"dateModified\":\"2023-07-03T02:11:56+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/turunan-dari-arcsecant-hiperbolik\/\"},\"wordCount\":317,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Derivatif\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/turunan-dari-arcsecant-hiperbolik\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/turunan-dari-arcsecant-hiperbolik\/\",\"url\":\"https:\/\/mathority.org\/id\/turunan-dari-arcsecant-hiperbolik\/\",\"name\":\"Turunan dari arcsecant hiperbolik - 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Selain itu, Anda akan dapat melihat contoh penyelesaian turunan dari garis potong busur hiperbolik. 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