{"id":385,"date":"2023-07-03T16:55:30","date_gmt":"2023-07-03T16:55:30","guid":{"rendered":"https:\/\/mathority.org\/it\/derivato-della-larcosina\/"},"modified":"2023-07-03T16:55:30","modified_gmt":"2023-07-03T16:55:30","slug":"derivato-della-larcosina","status":"publish","type":"post","link":"https:\/\/mathority.org\/it\/derivato-della-larcosina\/","title":{"rendered":"Derivato dell&#39;arcoseno"},"content":{"rendered":"<p>In questo articolo spieghiamo come ricavare l&#8217;arcoseno di una funzione. Troverai esempi di derivate dell&#8217;arcoseno di funzioni e potrai anche esercitarti con esercizi risolti passo dopo passo. Infine, vedrai anche la dimostrazione della formula della derivata dell&#8217;arcoseno. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-derivada-del-arcoseno\"><\/span> Qual \u00e8 la derivata dell&#8217;arcoseno?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>La derivata arcoseno di x \u00e8 uno fratto la radice quadrata di uno meno x al quadrato.<\/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-924f0591661727fa46ea5f69bff39401_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{\\sqrt{1-x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"418\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Pertanto, la <strong>derivata dell&#8217;arcoseno di una funzione<\/strong> \u00e8 uguale al quoziente della derivata di quella funzione diviso per la radice quadrata di uno meno la funzione al quadrato.<\/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-cd5a61d8ff601317ce4d47d168b350e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"418\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Logicamente, la seconda formula si ottiene applicando la regola della catena alla prima formula. <\/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-de-larcosine.webp\" alt=\"derivato dell'arcoseno\" class=\"wp-image-1952\" width=\"403\" height=\"304\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Ricorda che l&#8217;arcoseno \u00e8 la funzione inversa del seno, motivo per cui \u00e8 anche chiamato seno inverso. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-arcoseno\"><\/span> Esempi di derivata dell&#8217;arcoseno<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dopo aver visto qual \u00e8 la formula della derivata dell&#8217;arcoseno, spiegheremo alcuni esempi di questo tipo di derivate trigonometriche. In questo modo ti sar\u00e0 pi\u00f9 semplice capire come si ricava l&#8217;arcoseno di una funzione. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-del-arcoseno-de-2x\"><\/span> Esempio 1: Derivata dell&#8217;arcoseno 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-61368fb29b840d3583de92c8e6202006_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"139\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Per trovare la derivata della funzione arcoseno dobbiamo utilizzare la formula corrispondente:<\/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-cd5a61d8ff601317ce4d47d168b350e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"418\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Quindi la derivata di 2x \u00e8 2, quindi la derivata arcoseno di 2x \u00e8 2 diviso per la radice di uno meno 2x al quadrato: <\/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-b0282aa3f00df6b3bd1046fff94fa586_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2}{\\sqrt{1-(2x)^2}}=\\cfrac{2}{\\sqrt{1-4x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"550\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-del-arcoseno-de-x-al-cuadrado\"><\/span> Esempio 2: Derivata dell&#8217;arcoseno 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-a4962743c0667c1443d315dd330bf3fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Usiamo la formula della derivata dell&#8217;arcoseno per ricavarlo:<\/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-cd5a61d8ff601317ce4d47d168b350e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"418\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> La funzione <sup>x2<\/sup> \u00e8 di secondo grado, quindi la sua derivata \u00e8 2x. Pertanto la derivata dell&#8217;arcoseno di x elevata alla potenza di 2 \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-60a677a7b7ca12bf048e6d20aca7b122_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2x}{\\sqrt{1-\\left(x^2\\right)^2}}=\\cfrac{2x}{\\sqrt{1-x^4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"538\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-del-arcoseno-de-ex\"><\/span> Esempio 3: Derivata dell&#8217;arcoseno di e <sup>x<\/sup><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-0843fbec2d0e53f9f16fd8e704af9763_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(e^x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> La funzione in questo esempio \u00e8 una funzione composta, quindi dobbiamo applicare la regola della catena per risolvere 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-cd5a61d8ff601317ce4d47d168b350e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"418\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> La derivata di e <sup>x<\/sup> \u00e8 essa stessa, quindi la derivata dell&#8217;intera funzione \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-e836cc1a00000f86d4f8891a12f4997d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arcsen}(e^x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{e^x}{\\sqrt{1-\\left(e^x\\right)^2}}=\\cfrac{e^x}{\\sqrt{1-e^{2x}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"542\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-del-arcoseno\"><\/span> Problemi risolti con la derivata dell&#8217;arcoseno<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Derivare le seguenti funzioni arcoseno: <\/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-515f2956c43c783ea330e8b3addf908c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f(x)=\\text{arcsen}(6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"165\" style=\"vertical-align: -5px;\"><\/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-537773e0ce262d3f14bb6af61b6d5d2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f(x)=\\text{arcsen}(x^2-4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"203\" style=\"vertical-align: -5px;\"><\/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-d2ed0ca6a00694c6b35b651d9e206bbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }f(x)=\\text{arcsen}\\left(3x^4-6x^3+9+e^{x^2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"304\" style=\"vertical-align: -11px;\"><\/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-c3b5ab58c98e35c39ea82368aebabded_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f(x)=\\text{arcsen}\\left(\\log_5(3x)\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"212\" style=\"vertical-align: -5px;\"><\/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-25cafb754c9abd936852c9884fa1d9ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f(x)=\\text{arcsen}\\left(\\sqrt{4x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"182\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>vedi soluzione<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3d8fcc06d1afecc77f744ddddafc702f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f'(x)=\\cfrac{6}{\\sqrt{1-(6x)^2}}=\\cfrac{6}{\\sqrt{1-36x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"287\" style=\"vertical-align: -20px;\"><\/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-4491410567de31ccb0be97922264ca90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f'(x)=\\cfrac{2x-4}{\\sqrt{1-(x^2-4x)^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"219\" style=\"vertical-align: -20px;\"><\/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-b436dbd761b2261168c506e7e2e0d246_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }f'(x)=\\cfrac{12x^3-18x^2+2x\\cdot e^{x^2}}{\\sqrt{1-(3x^4-6x^3+9+e^{x^2})^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"53\" width=\"311\" style=\"vertical-align: -21px;\"><\/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-57f2d6846bdde50321c1387f949d983a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f'(x)=\\cfrac{1}{\\sqrt{1-\\left(\\log_5(3x)\\right)^2}}\\cdot \\cfrac{3}{3x\\cdot \\ln 5}=\\cfrac{1}{x\\cdot \\ln 5\\cdot \\sqrt{1-\\left(\\log_5(3x)\\right)^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"519\" style=\"vertical-align: -30px;\"><\/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-0a82c0fd18a8672100ed3b79525a1028_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\text{E) } f'(x)&amp; =\\cfrac{1}{\\sqrt{1-\\left(\\sqrt{4x}\\right)^2}}\\cdot \\cfrac{4}{2\\sqrt{4x}}\\\\[1.5ex] &amp;=\\cfrac{2}{\\sqrt{1-4x}\\cdot 2\\sqrt{x}}\\\\[1.5ex] &amp;=\\cfrac{1}{\\sqrt{x-4x^2}} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"184\" width=\"253\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-formula-de-la-derivada-del-arcoseno\"><\/span> Dimostrazione della formula del derivato dell&#8217;arcoseno<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Successivamente, procediamo alla dimostrazione matematica della formula per la derivata dell&#8217;arcoseno.<\/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-139a7a695d83cf004f32f983b10bde10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\text{arcsen}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Per prima cosa trasformiamo l&#8217;arcoseno in seno:<\/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-443f95e83265d63f8d88d8782d014011_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\text{sen}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Ora differenziamo entrambi i lati dell&#8217;equazione:<\/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-1a653163fb7285dbfafcbaaa4b80031e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1=\\text{cos}(y)\\cdot y'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Ti chiariamo:<\/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-ac9839cbaf86cd3bcd2020ae70eb57e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\text{cos}(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"86\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> Successivamente, applichiamo l&#8217;identit\u00e0 trigonometrica fondamentale:<\/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-d5c5551414baf4b4a0f28a4eac057ae2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}^2(y)+\\text{cos}^2(y)=1 \\ \\longrightarrow \\ \\text{cos}(y)=\\sqrt{1-\\text{sen}^2(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"390\" style=\"vertical-align: -6px;\"><\/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-0535c541ff9c3a80c457aae33b359bbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\sqrt{1-\\text{sen}^2(y)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"144\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p> E, poich\u00e9 abbiamo dedotto sopra che x era equivalente al seno di y, l\u2019uguaglianza rimane:<\/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-6fafe005791d06de3e64e76eda0ac194_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> Come puoi vedere, applicando questa procedura abbiamo ottenuto la formula per la derivata della funzione arcoseno, quindi \u00e8 dimostrato che la formula \u00e8 soddisfatta.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In questo articolo spieghiamo come ricavare l&#8217;arcoseno di una funzione. Troverai esempi di derivate dell&#8217;arcoseno di funzioni e potrai anche esercitarti con esercizi risolti passo dopo passo. Infine, vedrai anche la dimostrazione della formula della derivata dell&#8217;arcoseno. Qual \u00e8 la derivata dell&#8217;arcoseno? La derivata arcoseno di x \u00e8 uno fratto la radice quadrata di uno &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/it\/derivato-della-larcosina\/\"> <span class=\"screen-reader-text\">Derivato dell&#39;arcoseno<\/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-385","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 dell&#039;arcoseno - 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\/derivato-della-larcosina\/\" \/>\n<meta property=\"og:locale\" content=\"it_IT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Derivato dell&#039;arcoseno - Mathority\" \/>\n<meta property=\"og:description\" content=\"In questo articolo spieghiamo come ricavare l&#8217;arcoseno di una funzione. Troverai esempi di derivate dell&#8217;arcoseno di funzioni e potrai anche esercitarti con esercizi risolti passo dopo passo. Infine, vedrai anche la dimostrazione della formula della derivata dell&#8217;arcoseno. Qual \u00e8 la derivata dell&#8217;arcoseno? 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