{"id":388,"date":"2023-07-03T12:59:52","date_gmt":"2023-07-03T12:59:52","guid":{"rendered":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/"},"modified":"2023-07-03T12:59:52","modified_gmt":"2023-07-03T12:59:52","slug":"turunan-larcosine-hiperbolik","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/","title":{"rendered":"Turunan arcsinus hiperbolik"},"content":{"rendered":"<p>Di sini Anda akan menemukan turunan dari arcsinus hiperbolik (rumus). Selain itu, Anda akan dapat melihat beberapa latihan yang diselesaikan pada turunan dari arcsinus hiperbolik suatu fungsi. Terakhir, kami tunjukkan rumus turunan fungsi trigonometri jenis ini. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-del-arcoseno-hiperbolico\"><\/span> Rumus turunan busur hiperbolik<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Turunan busur hiperbolik x adalah satu pada akar kuadrat x kuadrat ditambah 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-a82a6d8210bf2e5aded9b57d759b961d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsenh}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{\\sqrt{x^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"427\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Jadi <strong>turunan busur hiperbolik suatu fungsi<\/strong> sama dengan hasil bagi turunan fungsi tersebut dibagi dengan akar kuadrat fungsi tersebut kuadrat ditambah satu.<\/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-afe94553ece2e4354d81b5c8d6393fa4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsenh}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{u^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"428\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Rumus kedua sama seperti rumus pertama namun menerapkan aturan rantai. Artinya, dengan rumus pertama, hanya busur hiperbolik dari xy yang dapat diturunkan, sedangkan dengan rumus kedua, busur hiperbolik dari fungsi apa pun dapat diturunkan. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/derive-arcsinus-hyperbolique.webp\" alt=\"berasal dari arcsinus hiperbolik\" class=\"wp-image-2092\" width=\"404\" height=\"305\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Perlu diingat bahwa arcsinus hiperbolik merupakan kebalikan dari fungsi sinus hiperbolik, yang turunannya dapat Anda lihat 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-sinus-hiperbolik\/\">rumus turunan sinus hiperbolik<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-arcoseno-hiperbolico\"><\/span> Contoh turunan busur hiperbolik <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>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7bffbf85d174a9ba798ef0098458eedb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsenh}(3x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"148\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-2a112ce1-0dbe-43d5-95b3-4d8506c1a246\"> Untuk menyelesaikan turunan fungsi arcsinus, kita menggunakan rumus seperti di atas:<\/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-afe94553ece2e4354d81b5c8d6393fa4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsenh}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{u^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"428\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p id=\"block-a4fe1876-f662-49c1-8d09-6a6c4b5528dd\"> Turunan dari 3x adalah 3, jadi pembilangnya adalah 3. Dan pada penyebutnya kita hanya perlu memasukkan akar kuadrat dari 3x kuadrat ditambah 1: <\/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-1d42bef987d09d08d3f6dcfaca51fa30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsenh}(3x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{3}{\\sqrt{(3x)^2+1}}=\\cfrac{3}{\\sqrt{9x^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"559\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\" id=\"block-1446420a-0d61-44d3-9e31-8c5935a432a7\"> Contoh 2<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8443fcf49123a641d252cbae2bc41963_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsenh}(x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"147\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p id=\"block-0514a2ea-d85a-4b25-a7db-9c27533e7436\"> Untuk menurunkan busur hiperbolik dari fungsi x pangkat tiga, kita harus menerapkan rumus yang sama:<\/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-afe94553ece2e4354d81b5c8d6393fa4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsenh}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{u^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"428\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p id=\"block-6abf3c5a-c400-48c6-8375-c05fcb255b20\"> Turunan dari x pangkat tiga adalah 3x <sup>2<\/sup> , jadi turunan dari sinus hiperbolik dari x yang dipangkatkan menjadi 3 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-d86568f221e55857aefa999a4f3d985c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsenh}(x^3) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{3x^2}{\\sqrt{\\left(x^3\\right)^2+1}}=\\cfrac{3x^2}{\\sqrt{x^6+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"548\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-derivada-del-arcoseno-hiperbolico\"><\/span> Bukti turunan arcsinus hiperbolik<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Kami akan mendemonstrasikan rumus turunan dari busur hiperbolik:<\/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-0aa7ee02aca942f2edabc788ea8753b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\text{arcsenh}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Pertama, kita ubah arcsinus hiperbolik menjadi sinus hiperbolik:<\/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-9ee87f527d3db7d45fee040b5b679b9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\text{senh}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"91\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Kami menyimpulkan dari kedua sisi persamaan:<\/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-c7659c047da0cc9b04fe43fbba11ca5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1=\\text{cosh}(y)\\cdot y'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Kami membersihkan Anda:<\/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-fabecb434d4262be49c4f3dbefa7ca3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\text{cosh}(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"96\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> Kemudian kita terapkan identitas trigonometri yang menghubungkan sinus hiperbolik dan kosinus hiperbolik:<\/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-3418fa3f2fd5e90bd44691a273c93a1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cosh}^2(y)-\\text{senh}^2(y)=1 \\ \\longrightarrow \\ \\text{cosh}(y)=\\sqrt{1+\\text{senh}^2(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"428\" style=\"vertical-align: -9px;\"><\/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-f5b1205d0159bd2f5f251fd22ae94e13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\sqrt{1+\\text{senh}^2(y)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"153\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<p> Namun di atas kita menyimpulkan bahwa x berhubungan dengan sinus hiperbolik dari y, sehingga persamaannya tetap:<\/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-cfc221a045dcf36f2d9d2880d6709d9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\sqrt{1+x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"103\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Seperti yang Anda lihat, dengan menerapkan langkah-langkah ini kami memperoleh rumus turunan arcsinus hiperbolik, sehingga terbukti.<\/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\/\">Rumus turunan dari garis potong hiperbolik<\/a><\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/penyimpangan-arcsecant\/\">Rumus turunan arcsecant<\/a><\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-dari-garis-potong\/\">Rumus turunan garis potong<\/a><\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-larcosine\/\">Rumus turunan arcsinus<\/a><\/span><\/li>\n<li> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-sinus\/\">rumus turunan sinusoidal<\/a><\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Di sini Anda akan menemukan turunan dari arcsinus hiperbolik (rumus). Selain itu, Anda akan dapat melihat beberapa latihan yang diselesaikan pada turunan dari arcsinus hiperbolik suatu fungsi. Terakhir, kami tunjukkan rumus turunan fungsi trigonometri jenis ini. Rumus turunan busur hiperbolik Turunan busur hiperbolik x adalah satu pada akar kuadrat x kuadrat ditambah 1. Jadi turunan &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/\"> <span class=\"screen-reader-text\">Turunan arcsinus 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-388","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 arcsinus 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-larcosine-hiperbolik\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Turunan arcsinus hiperbolik - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan turunan dari arcsinus hiperbolik (rumus). Selain itu, Anda akan dapat melihat beberapa latihan yang diselesaikan pada turunan dari arcsinus hiperbolik suatu fungsi. Terakhir, kami tunjukkan rumus turunan fungsi trigonometri jenis ini. Rumus turunan busur hiperbolik Turunan busur hiperbolik x adalah satu pada akar kuadrat x kuadrat ditambah 1. Jadi turunan &hellip; Turunan arcsinus hiperbolik Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-03T12:59:52+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a82a6d8210bf2e5aded9b57d759b961d_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=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Turunan arcsinus hiperbolik\",\"datePublished\":\"2023-07-03T12:59:52+00:00\",\"dateModified\":\"2023-07-03T12:59:52+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/\"},\"wordCount\":298,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Derivatif\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/\",\"url\":\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/\",\"name\":\"Turunan arcsinus hiperbolik - Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/#website\"},\"datePublished\":\"2023-07-03T12:59:52+00:00\",\"dateModified\":\"2023-07-03T12:59:52+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Turunan arcsinus hiperbolik\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/id\/#website\",\"url\":\"https:\/\/mathority.org\/id\/\",\"name\":\"Mathority\",\"description\":\"Di mana rasa ingin tahu bertemu dengan perhitungan!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/id\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/id\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\",\"name\":\"Tim Mathority\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"Tim Mathority\"},\"sameAs\":[\"http:\/\/mathority.org\/id\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Turunan arcsinus hiperbolik - Mathority","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/","og_locale":"id_ID","og_type":"article","og_title":"Turunan arcsinus hiperbolik - Mathority","og_description":"Di sini Anda akan menemukan turunan dari arcsinus hiperbolik (rumus). Selain itu, Anda akan dapat melihat beberapa latihan yang diselesaikan pada turunan dari arcsinus hiperbolik suatu fungsi. Terakhir, kami tunjukkan rumus turunan fungsi trigonometri jenis ini. Rumus turunan busur hiperbolik Turunan busur hiperbolik x adalah satu pada akar kuadrat x kuadrat ditambah 1. Jadi turunan &hellip; Turunan arcsinus hiperbolik Selengkapnya &raquo;","og_url":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/","article_published_time":"2023-07-03T12:59:52+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a82a6d8210bf2e5aded9b57d759b961d_l3.png"}],"author":"Tim Mathority","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Tim Mathority","Estimasi waktu membaca":"1 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/"},"author":{"name":"Tim Mathority","@id":"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38"},"headline":"Turunan arcsinus hiperbolik","datePublished":"2023-07-03T12:59:52+00:00","dateModified":"2023-07-03T12:59:52+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/"},"wordCount":298,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/id\/#organization"},"articleSection":["Derivatif"],"inLanguage":"id","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/","url":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/","name":"Turunan arcsinus hiperbolik - Mathority","isPartOf":{"@id":"https:\/\/mathority.org\/id\/#website"},"datePublished":"2023-07-03T12:59:52+00:00","dateModified":"2023-07-03T12:59:52+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/id\/turunan-larcosine-hiperbolik\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/id\/"},{"@type":"ListItem","position":2,"name":"Turunan arcsinus hiperbolik"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/id\/#website","url":"https:\/\/mathority.org\/id\/","name":"Mathority","description":"Di mana rasa ingin tahu bertemu dengan perhitungan!","publisher":{"@id":"https:\/\/mathority.org\/id\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/id\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"id"},{"@type":"Organization","@id":"https:\/\/mathority.org\/id\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/id\/","logo":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38","name":"Tim Mathority","image":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/mathority.org\/id\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","caption":"Tim Mathority"},"sameAs":["http:\/\/mathority.org\/id"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/posts\/388","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/comments?post=388"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/posts\/388\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/media?parent=388"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/categories?post=388"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/tags?post=388"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}