{"id":396,"date":"2023-07-03T02:54:42","date_gmt":"2023-07-03T02:54:42","guid":{"rendered":"https:\/\/mathority.org\/id\/turunan-dari-kosekan-hiperbolik\/"},"modified":"2023-07-03T02:54:42","modified_gmt":"2023-07-03T02:54:42","slug":"turunan-dari-kosekan-hiperbolik","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/turunan-dari-kosekan-hiperbolik\/","title":{"rendered":"Turunan dari kosekan hiperbolik"},"content":{"rendered":"<p>Pada artikel ini kami menjelaskan cara menurunkan kosekan hiperbolik suatu fungsi. Selain itu, Anda akan dapat melihat beberapa contoh penyelesaian turunan kosekan hiperbolik. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-la-cosecante-hiperbolica\"><\/span> Rumus turunan dari kosekan hiperbolik<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Turunan dari kosekan hiperbolik dari x sama dengan dikurangi kosekan hiperbolik dari x dikalikan kotangen hiperbolik dari x.<\/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-b2fef8fd91e2354a27e8902e390ddabf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosech}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{cosech}(x)\\cdot \\text{cotgh}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"517\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, <strong>turunan kosekan hiperbolik suatu fungsi<\/strong> adalah dikurangi hasil kali kosekan hiperbolik fungsi tersebut dikali kotangen hiperbolik fungsi tersebut dikalikan dengan turunan fungsi tersebut.<\/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-880e801fc4e1c9f3fce3d7fb031d4e09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosech}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{cosech}(u)\\cdot \\text{cotgh}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"545\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Singkatnya, rumus untuk menurunkan kosekan suatu fungsi adalah: <\/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\/derivee-de-la-cosecante-hyperbolique.webp\" alt=\"berasal dari kosekan hiperbolik\" class=\"wp-image-2761\" width=\"505\" height=\"278\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Faktanya, dua ekspresi sebelumnya sesuai dengan satu rumus, perbedaannya adalah aturan rantai diterapkan pada rumus kedua. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-la-cosecante-hiperbolica\"><\/span> Contoh turunan dari kosekan hiperbolik<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah melihat apa rumus turunan kosekan hiperbolik, berikut beberapa contoh kerja turunan trigonometri jenis ini.<\/p>\n<h3 class=\"wp-block-heading\"> Contoh 1<\/h3>\n<p> Dalam contoh pertama ini, kita akan menurunkan kosekan hiperbolik dari x 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-24a7761cd3b41af2f9802ef84f616047_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosech}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Fungsi argumen kosekan hiperbolik berbeda dengan x, sehingga kita perlu menggunakan rumus turunan kosekan hiperbolik dengan aturan rantai.<\/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-880e801fc4e1c9f3fce3d7fb031d4e09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosech}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{cosech}(u)\\cdot \\text{cotgh}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"545\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Jadi, untuk menurunkan fungsi trigonometri ini, kita cukup mensubstitusikan nilai-nilai pada rumus sebelumnya, yaitu pada argumen kosekan hiperbolik dan tangen hiperbolik, kita masukkan x <sup>2<\/sup> , dan kalikan semuanya dengan turunannya dari x kuadrat, yaitu 2x: <\/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-068551500cf0689b8d21dcb83f0b6bdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosech}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{cosech}(x^2)\\cdot \\text{cotgh}(x^2)\\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"573\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Contoh 2<\/h3>\n<p> Dalam latihan ini, kita akan melihat berapa turunan dari kosekan hiperbolik dari x pangkat tiga:<\/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-38165f7bf2e567bb8bab90ba80cf3c4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosech}(x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Untuk mencari turunan kosekan hiperbolik suatu fungsi, kita menerapkan rumusnya:<\/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-880e801fc4e1c9f3fce3d7fb031d4e09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosech}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{cosech}(u)\\cdot \\text{cotgh}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"545\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Turunan dari x pangkat tiga adalah 3x <sup>2<\/sup> , jadi turunan seluruh fungsinya adalah: <\/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-b88f49530fdce04138277673f41d2457_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosech}(x^3) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\text{cosech}(x^3)\\cdot \\text{cotgh}(x^3)\\cdot 3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"580\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pada artikel ini kami menjelaskan cara menurunkan kosekan hiperbolik suatu fungsi. Selain itu, Anda akan dapat melihat beberapa contoh penyelesaian turunan kosekan hiperbolik. Rumus turunan dari kosekan hiperbolik Turunan dari kosekan hiperbolik dari x sama dengan dikurangi kosekan hiperbolik dari x dikalikan kotangen hiperbolik dari x. Oleh karena itu, turunan kosekan hiperbolik suatu fungsi adalah &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/turunan-dari-kosekan-hiperbolik\/\"> <span class=\"screen-reader-text\">Turunan dari kosekan 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-396","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 kosekan 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-kosekan-hiperbolik\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Turunan dari kosekan hiperbolik - Mathority\" \/>\n<meta property=\"og:description\" content=\"Pada artikel ini kami menjelaskan cara menurunkan kosekan hiperbolik suatu fungsi. Selain itu, Anda akan dapat melihat beberapa contoh penyelesaian turunan kosekan hiperbolik. Rumus turunan dari kosekan hiperbolik Turunan dari kosekan hiperbolik dari x sama dengan dikurangi kosekan hiperbolik dari x dikalikan kotangen hiperbolik dari x. 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