{"id":387,"date":"2023-07-03T15:44:25","date_gmt":"2023-07-03T15:44:25","guid":{"rendered":"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/"},"modified":"2023-07-03T15:44:25","modified_gmt":"2023-07-03T15:44:25","slug":"derivata-del-seno-iperbolico","status":"publish","type":"post","link":"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/","title":{"rendered":"Derivata del seno iperbolico"},"content":{"rendered":"<p>Qui troverai come ricavare il seno iperbolico (formula). Inoltre, vedrai diversi esempi risolti della derivata del seno iperbolico. Infine, dimostriamo la formula per la derivata di questo tipo di funzione trigonometrica. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-del-seno-hiperbolico\"><\/span> Formula derivata dal seno iperbolico<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>La derivata del seno iperbolico di x \u00e8 il coseno iperbolico di 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-5824c2bfe983f8a9b725fab69a97ecca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{senh}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cosh}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"394\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Pertanto, la <strong>derivata del seno iperbolico di una funzione<\/strong> \u00e8 uguale al prodotto del coseno iperbolico della funzione e della derivata di quella funzione.<\/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-8d49318fdfae22c716e856e18e7440db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{senh}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cosh}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"422\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> In realt\u00e0 le due formule precedenti sono identiche, l&#8217;unica differenza \u00e8 che nella seconda formula applichiamo la regola della catena. E poich\u00e9 la derivata di x \u00e8 1, ci\u00f2 non cambia la funzione. <\/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-du-sinus-hyperbolique.webp\" alt=\"derivata del seno iperbolico\" class=\"wp-image-2021\" width=\"423\" height=\"286\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Come puoi vedere, la formula per la derivata del seno iperbolico \u00e8 molto simile alla <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/it\/derivato-sinusale\/\">formula per la derivata del seno<\/a><\/span> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-seno-hiperbolico\"><\/span> Esempi di derivata del seno iperbolico<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Una volta che abbiamo gi\u00e0 visto cos&#8217;\u00e8 la formula della derivata del seno iperbolico, procediamo ora a risolvere alcuni esempi della derivata del seno iperbolico. Quindi sicuramente non hai dubbi su come farlo. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-del-seno-hiperbolico-de-2x\"><\/span> Esempio 1: Derivata del seno iperbolico di 2x<span class=\"ez-toc-section-end\"><\/span><\/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-11e5d630f508c66d1be884d9a6454d30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{senh}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"125\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> In questo caso, nell&#8217;argomento del seno iperbolico, abbiamo una funzione diversa da x, quindi dobbiamo usare la formula della derivata del seno iperbolico con la regola della catena per trovare la derivata:<\/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-8d49318fdfae22c716e856e18e7440db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{senh}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cosh}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"422\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> La derivata di 2x \u00e8 2, quindi la derivata del seno iperbolico di 2x sar\u00e0 il coseno iperbolico di 2x per 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-4e763d6973e52217ac14f6f6b3344737_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{senh}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cosh}(2x)\\cdot 2=2\\text{cosh}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"533\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-del-seno-hiperbolico-de-x-al-cuadrado\"><\/span> Esempio 2: Derivata del seno iperbolico di x al quadrato<span class=\"ez-toc-section-end\"><\/span><\/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-432b20159f3f131533249e4ee44702e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{senh}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"123\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> La formula per la derivata della funzione seno iperbolico \u00e8:<\/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-8d49318fdfae22c716e856e18e7440db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{senh}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cosh}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"422\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> D&#8217;altra parte, la derivata della funzione quadratica x <sup>2<\/sup> \u00e8 2x. La derivata dell&#8217;intera funzione \u00e8 quindi: <\/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-56db45ee5a51f7ed624f7e88ce4cf906_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{senh}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cosh}(x^2)\\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"443\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-formula-de-la-derivada-del-seno-hiperbolico\"><\/span> Dimostrazione della formula della derivata del seno iperbolico<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Infine, dimostreremo la formula per la derivata del seno iperbolico. Per fare ci\u00f2 partiremo dalla definizione matematica di seno iperbolico:<\/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-ef003e8f8367d5cacacb4d67fb8dbd01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{senh}(x)=\\cfrac{e^x-e^{-x}}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"150\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Deduciamo ora i due lati dell\u2019uguaglianza:<\/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-39aa6ef096997dc19e3850036a95b0d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\bigl(\\text{senh}(x)\\bigr)'=\\left(\\frac{e^x-e^{-x}}{2}\\right)'\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"201\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> Per ricavare la parte destra dell&#8217;equazione, utilizzeremo la formula per la derivata della divisione:<\/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-c11def15692e1374b5f75743bfc04b40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{senh}'(x)=\\frac{(e^x+e^{-x})\\cdot 2}{2^2}=\\frac{e^x+e^{-x}}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"284\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Vedi:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/it\/derivata-della-funzione-esponenziale\/\">derivata della funzione esponenziale con base e<\/a><\/span><\/p>\n<p> E proprio siamo arrivati all&#8217;espressione che definisce il coseno iperbolico. Pertanto risulta dimostrata la derivata del seno iperbolico:<\/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-fb3756efaf241b9435c36856a5dad2b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{senh}'(x)=\\text{cosh}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"143\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Qui troverai come ricavare il seno iperbolico (formula). Inoltre, vedrai diversi esempi risolti della derivata del seno iperbolico. Infine, dimostriamo la formula per la derivata di questo tipo di funzione trigonometrica. Formula derivata dal seno iperbolico La derivata del seno iperbolico di x \u00e8 il coseno iperbolico di x. Pertanto, la derivata del seno iperbolico &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/\"> <span class=\"screen-reader-text\">Derivata del seno iperbolico<\/span> Leggi altro &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":[6],"tags":[],"class_list":["post-387","post","type-post","status-publish","format-standard","hentry","category-derivati"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Derivato del seno iperbolico - 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\/it\/derivata-del-seno-iperbolico\/\" \/>\n<meta property=\"og:locale\" content=\"it_IT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Derivato del seno iperbolico - Mathority\" \/>\n<meta property=\"og:description\" content=\"Qui troverai come ricavare il seno iperbolico (formula). Inoltre, vedrai diversi esempi risolti della derivata del seno iperbolico. Infine, dimostriamo la formula per la derivata di questo tipo di funzione trigonometrica. Formula derivata dal seno iperbolico La derivata del seno iperbolico di x \u00e8 il coseno iperbolico di x. Pertanto, la derivata del seno iperbolico &hellip; Derivata del seno iperbolico Leggi altro &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-03T15:44:25+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5824c2bfe983f8a9b725fab69a97ecca_l3.png\" \/>\n<meta name=\"author\" content=\"Squadra di Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Scritto da\" \/>\n\t<meta name=\"twitter:data1\" content=\"Squadra di Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo di lettura stimato\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuti\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/\"},\"author\":{\"name\":\"Squadra di Mathority\",\"@id\":\"https:\/\/mathority.org\/it\/#\/schema\/person\/8d6f69ffbe48aea8b43675a9a3ddb9c8\"},\"headline\":\"Derivata del seno iperbolico\",\"datePublished\":\"2023-07-03T15:44:25+00:00\",\"dateModified\":\"2023-07-03T15:44:25+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/\"},\"wordCount\":335,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/it\/#organization\"},\"articleSection\":[\"Derivati\"],\"inLanguage\":\"it-IT\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/\",\"url\":\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/\",\"name\":\"Derivato del seno iperbolico - Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/it\/#website\"},\"datePublished\":\"2023-07-03T15:44:25+00:00\",\"dateModified\":\"2023-07-03T15:44:25+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/#breadcrumb\"},\"inLanguage\":\"it-IT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/it\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Derivata del seno iperbolico\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/it\/#website\",\"url\":\"https:\/\/mathority.org\/it\/\",\"name\":\"Mathority\",\"description\":\"Dove la curiosit\u00e0 incontra il calcolo!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/it\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/it\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"it-IT\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/it\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/it\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"it-IT\",\"@id\":\"https:\/\/mathority.org\/it\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/it\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/it\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/it\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/it\/#\/schema\/person\/8d6f69ffbe48aea8b43675a9a3ddb9c8\",\"name\":\"Squadra di Mathority\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"it-IT\",\"@id\":\"https:\/\/mathority.org\/it\/#\/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\":\"Squadra di Mathority\"},\"sameAs\":[\"http:\/\/mathority.org\/it\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Derivato del seno iperbolico - 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\/it\/derivata-del-seno-iperbolico\/","og_locale":"it_IT","og_type":"article","og_title":"Derivato del seno iperbolico - Mathority","og_description":"Qui troverai come ricavare il seno iperbolico (formula). Inoltre, vedrai diversi esempi risolti della derivata del seno iperbolico. Infine, dimostriamo la formula per la derivata di questo tipo di funzione trigonometrica. Formula derivata dal seno iperbolico La derivata del seno iperbolico di x \u00e8 il coseno iperbolico di x. Pertanto, la derivata del seno iperbolico &hellip; Derivata del seno iperbolico Leggi altro &raquo;","og_url":"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/","article_published_time":"2023-07-03T15:44:25+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5824c2bfe983f8a9b725fab69a97ecca_l3.png"}],"author":"Squadra di Mathority","twitter_card":"summary_large_image","twitter_misc":{"Scritto da":"Squadra di Mathority","Tempo di lettura stimato":"2 minuti"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/"},"author":{"name":"Squadra di Mathority","@id":"https:\/\/mathority.org\/it\/#\/schema\/person\/8d6f69ffbe48aea8b43675a9a3ddb9c8"},"headline":"Derivata del seno iperbolico","datePublished":"2023-07-03T15:44:25+00:00","dateModified":"2023-07-03T15:44:25+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/"},"wordCount":335,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/it\/#organization"},"articleSection":["Derivati"],"inLanguage":"it-IT","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/","url":"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/","name":"Derivato del seno iperbolico - Mathority","isPartOf":{"@id":"https:\/\/mathority.org\/it\/#website"},"datePublished":"2023-07-03T15:44:25+00:00","dateModified":"2023-07-03T15:44:25+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/#breadcrumb"},"inLanguage":"it-IT","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/it\/derivata-del-seno-iperbolico\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/it\/"},{"@type":"ListItem","position":2,"name":"Derivata del seno iperbolico"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/it\/#website","url":"https:\/\/mathority.org\/it\/","name":"Mathority","description":"Dove la curiosit\u00e0 incontra il calcolo!","publisher":{"@id":"https:\/\/mathority.org\/it\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/it\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"it-IT"},{"@type":"Organization","@id":"https:\/\/mathority.org\/it\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/it\/","logo":{"@type":"ImageObject","inLanguage":"it-IT","@id":"https:\/\/mathority.org\/it\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/it\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/it\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/it\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/it\/#\/schema\/person\/8d6f69ffbe48aea8b43675a9a3ddb9c8","name":"Squadra di Mathority","image":{"@type":"ImageObject","inLanguage":"it-IT","@id":"https:\/\/mathority.org\/it\/#\/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":"Squadra di Mathority"},"sameAs":["http:\/\/mathority.org\/it"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/posts\/387","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/comments?post=387"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/posts\/387\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/media?parent=387"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/categories?post=387"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/tags?post=387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}