{"id":397,"date":"2023-07-03T02:36:56","date_gmt":"2023-07-03T02:36:56","guid":{"rendered":"https:\/\/mathority.org\/id\/turunan-dari-kotangen-hiperbolik\/"},"modified":"2023-07-03T02:36:56","modified_gmt":"2023-07-03T02:36:56","slug":"turunan-dari-kotangen-hiperbolik","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/turunan-dari-kotangen-hiperbolik\/","title":{"rendered":"Turunan dari kotangen hiperbolik"},"content":{"rendered":"<p>Di sini kami menjelaskan cara menurunkan kotangen hiperbolik suatu fungsi. Anda juga akan menemukan contoh turunan kotangen hiperbolik. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-la-cotangente-hiperbolica\"><\/span> Rumus turunan kotangen hiperbolik<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Turunan kotangen hiperbolik dari x sama dengan dikurangi kosekan hiperbolik dari 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-159a0cc5b4ec54f5e5180986bf97e326_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotgh}(x)\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=-\\text{cosech}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"439\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, <strong>turunan kotangen hiperbolik suatu fungsi<\/strong> adalah dikurangi kosekan hiperbolik fungsi tersebut dikalikan dengan turunan fungsi tersebut.<\/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-ce8d53b14c0a0283174650861f34526b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotgh}(u)\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=-\\text{cosech}^2(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"467\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Perlu diingat bahwa pada rumus kedua aturan rantai telah diterapkan dan rumus ini digunakan jika terdapat fungsi selain x pada argumen kotangen hiperbolik. <\/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\/derivee-de-la-cotangente-hyperbolique.webp\" alt=\"berasal dari kotangen hiperbolik\" class=\"wp-image-2771\" width=\"456\" height=\"287\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Anda mungkin menemukan di beberapa buku matematika bahwa turunan kotangen adalah turunan lain, karena tiga ekspresi berikut ini ekuivalen:<\/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-6f9bb22138450fbc59797ea330d247b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=-\\text{cosech}^2(x)=1-\\text{cotgh}^2(x)=-\\cfrac{1}{\\text{senh}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"391\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p> Jelasnya, Anda dapat menggunakan ekspresi mana pun yang Anda sukai di antara ketiganya untuk mendapatkan kotangen hiperbolik, namun yang paling banyak digunakan adalah kosekan hiperbolik kuadrat. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-la-cotangente-hiperbolica\"><\/span> Contoh turunan dari kotangen hiperbolik<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita mengetahui rumus turunan kotangen hiperbolik suatu fungsi, kita akan menyelesaikan beberapa contoh turunan trigonometri jenis ini.<\/p>\n<h3 class=\"wp-block-heading\"> Contoh 1<\/h3>\n<p> Dalam contoh ini kita akan melihat turunan kotangen hiperbolik dari fungsi 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-3c7d3005851f13f7f239dbd5f976d87b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotgh}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"132\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Pada argumen kotangen hiperbolik kita mempunyai fungsi selain x, jadi kita perlu menggunakan rumus dengan aturan rantai untuk melakukan penurunan:<\/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-ce8d53b14c0a0283174650861f34526b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotgh}(u)\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=-\\text{cosech}^2(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"467\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Karena 2x adalah suku derajat satu, maka turunannya adalah 2. Jadi, untuk mencari turunan kotangen hiperbolik dari 2x, kita cukup memasukkan 2x ke dalam argumen kuadrat dari kosekan hiperbolik dan mengalikannya dengan 2.<\/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-d9805919c1591f35bad147992046725c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotgh}(2x)\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=-\\text{cosech}^2(2x)\\cdot 2\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"478\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Contoh 2<\/h3>\n<p> Pada contoh kedua, kita akan menentukan nilai turunan kotangen hiperbolik suatu 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-a861bc1c6734dac702da19a7f9614eb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotgh}(3x^4-5x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"181\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Seperti yang kita lihat di atas, aturan untuk menurunkan kotangen hiperbolik suatu fungsi adalah sebagai berikut:<\/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-ce8d53b14c0a0283174650861f34526b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotgh}(u)\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=-\\text{cosech}^2(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"467\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, turunan kotangen hiperbolik dari latihan ini adalah sebagai berikut:<\/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-0d9b5b922da23b4196f7ee1edd440f72_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotgh}(3x^4-5x)\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=-\\text{cosech}^2(3x^4-5x)\\cdot(12x^3-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"582\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Di sini kami menjelaskan cara menurunkan kotangen hiperbolik suatu fungsi. Anda juga akan menemukan contoh turunan kotangen hiperbolik. Rumus turunan kotangen hiperbolik Turunan kotangen hiperbolik dari x sama dengan dikurangi kosekan hiperbolik dari x kuadrat. Oleh karena itu, turunan kotangen hiperbolik suatu fungsi adalah dikurangi kosekan hiperbolik fungsi tersebut dikalikan dengan turunan fungsi tersebut. Perlu &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/turunan-dari-kotangen-hiperbolik\/\"> <span class=\"screen-reader-text\">Turunan dari kotangen 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-397","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 kotangen 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-kotangen-hiperbolik\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Turunan dari kotangen hiperbolik - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di sini kami menjelaskan cara menurunkan kotangen hiperbolik suatu fungsi. Anda juga akan menemukan contoh turunan kotangen hiperbolik. Rumus turunan kotangen hiperbolik Turunan kotangen hiperbolik dari x sama dengan dikurangi kosekan hiperbolik dari x kuadrat. Oleh karena itu, turunan kotangen hiperbolik suatu fungsi adalah dikurangi kosekan hiperbolik fungsi tersebut dikalikan dengan turunan fungsi tersebut. 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