{"id":378,"date":"2023-07-03T20:49:06","date_gmt":"2023-07-03T20:49:06","guid":{"rendered":"https:\/\/mathority.org\/pt\/derivada-de-uma-funcao-linear\/"},"modified":"2023-07-03T20:49:06","modified_gmt":"2023-07-03T20:49:06","slug":"derivada-de-uma-funcao-linear","status":"publish","type":"post","link":"https:\/\/mathority.org\/pt\/derivada-de-uma-funcao-linear\/","title":{"rendered":"Derivada de uma fun\u00e7\u00e3o linear"},"content":{"rendered":"<p>Neste artigo mostramos quanto \u00e9 a derivada de uma fun\u00e7\u00e3o linear. Adicionalmente, resolvemos v\u00e1rios exemplos de derivadas de fun\u00e7\u00f5es lineares e demonstramos a f\u00f3rmula para este tipo de derivada. Voc\u00ea encontrar\u00e1 at\u00e9 exerc\u00edcios resolvidos sobre derivadas de fun\u00e7\u00f5es lineares. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-derivada-de-una-funcion-lineal\"><\/span> Qual \u00e9 a derivada de uma fun\u00e7\u00e3o linear?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>A derivada de uma fun\u00e7\u00e3o linear \u00e9 o coeficiente do termo de primeiro grau<\/strong> , ou seja, a derivada de uma fun\u00e7\u00e3o linear <em>f(x)=Ax+B<\/em> \u00e9 igual a <em>A.<\/em><\/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-da354d71cc8fcc91ec98275630d162d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=Ax+B\\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=A\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"352\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O termo independente \u00e9 removido da derivada porque a <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/pt\/derivada-de-uma-constante\/\">derivada de uma constante<\/a><\/span> \u00e9 zero. E, por outro lado, a derivada de um termo de primeiro grau \u00e9 o coeficiente desse termo. Portanto, a derivada da soma desses dois tipos de fun\u00e7\u00f5es \u00e9 o coeficiente do termo linear. <\/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-dune-fonction-lineaire.webp\" alt=\"derivada de uma fun\u00e7\u00e3o linear\" class=\"wp-image-1739\" width=\"263\" height=\"224\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Geometricamente, a derivada de uma fun\u00e7\u00e3o linear \u00e9 a inclina\u00e7\u00e3o dessa fun\u00e7\u00e3o. No gr\u00e1fico acima voc\u00ea pode ver representada uma fun\u00e7\u00e3o linear com sua derivada. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-derivadas-de-funciones-lineales\"><\/span> Exemplos de derivadas de fun\u00e7\u00f5es lineares<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dada a defini\u00e7\u00e3o da derivada de uma fun\u00e7\u00e3o linear, calcularemos v\u00e1rios exemplos de fun\u00e7\u00f5es lineares para finalizar a compreens\u00e3o do conceito:<\/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-b12cfa0a6432f8171149ec0139d259ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=3x+1\\quad\\longrightarrow\\quad f'(x)=3\\\\[3ex]f(x)=5x-4\\quad\\longrightarrow\\quad f'(x)=5\\\\[3ex] f(x)=-2x+9\\quad\\longrightarrow\\quad f'(x)=-2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"280\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Lembre-se que a derivada da fun\u00e7\u00e3o linear \u00e9 sempre o n\u00famero que acompanha a vari\u00e1vel x quando a fun\u00e7\u00e3o n\u00e3o possui termo independente, ou seja, se possui apenas um termo de primeiro grau. Por exemplo:<\/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-01c42c8e73ed47d26a090c027af24e44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=8x\\quad\\longrightarrow\\quad f'(x)=8\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"223\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Portanto, a derivada de uma fun\u00e7\u00e3o linear \u00e9 uma fun\u00e7\u00e3o sem vari\u00e1vel independente, um n\u00famero simples. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-derivada-de-una-funcion-lineal\"><\/span> Prova da derivada de uma fun\u00e7\u00e3o linear<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A seguir, demonstraremos a f\u00f3rmula da derivada de uma fun\u00e7\u00e3o linear.<\/p>\n<p> Seja <em>f<\/em> qualquer fun\u00e7\u00e3o linear:<\/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-370811a2aa0db8d9ec651bc54ec64e44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=Ax+B\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> A f\u00f3rmula para calcular a derivada de uma fun\u00e7\u00e3o em um ponto \u00e9:<\/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-1162892842eac60784851f1e85e8fdb4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(a)=\\lim_{h\\to 0}\\frac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"217\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> Ent\u00e3o, se calcularmos o limite anterior para uma fun\u00e7\u00e3o linear, obtemos:<\/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-82bb6155f8feedee8ffd37d7d721be41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(a)=\\lim_{h\\to 0}\\frac{f(a+h)-f(a)}{h}=\\frac{A(a+h)+B-(A\\cdot a+B)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"456\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> Resolvemos os par\u00eanteses:<\/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-fad6e047e98d5201667c8605457c08f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(a)=\\frac{Aa+Ah+B-Aa-B}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"249\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Operamos no numerador:<\/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-a65d5b69a49d803b5347d019191a4500_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(a)=\\frac{Ah}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"88\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> E finalmente, simplificamos a fra\u00e7\u00e3o:<\/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-33d6b2531eeda784111d43aca63830d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(a)=A\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Concluindo, a derivada de uma fun\u00e7\u00e3o linear \u00e9 igual ao coeficiente do termo de primeiro grau em qualquer ponto. Assim, a f\u00f3rmula para a derivada de uma fun\u00e7\u00e3o linear \u00e9 derivada. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-derivadas-de-funciones-lineales\"><\/span> Problemas resolvidos de derivadas de fun\u00e7\u00f5es lineares<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Calcule as derivadas das seguintes fun\u00e7\u00f5es lineares: <\/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-7eaaec94975c0a6f735ed64a9f4c8559_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)}\\ f(x)=2x-25\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"142\" 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-7b6d868f61cd6a9508bd6d32040c4b0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)}\\ f(x)=x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"124\" 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-558f5203bb08cc856a3b3f6e5ba06880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)}\\ f(x)=-9x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"146\" 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-dc3b5146a38b0ca48d55e02fe3318f07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)}\\ f(x)=\\cfrac{1}{2}x+7\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"136\" style=\"vertical-align: -12px;\"><\/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-47708f79ca9b8e2aef23d88e5137467a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)}\\ f(x)=5x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" 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-198f38dc1105d5d3a1787a414f5b1619_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F)}\\ f(x)=\\sqrt{7}x+\\frac{3}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"147\" style=\"vertical-align: -6px;\"><\/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>veja solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Para derivar uma fun\u00e7\u00e3o linear, basta eliminar o termo constante e a vari\u00e1vel da fun\u00e7\u00e3o, de modo que permane\u00e7a apenas o coeficiente do termo linear. Ainda: <\/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-162a6c1b0989828157ac2bba886b4dee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)}\\ f'(x)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" 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-7e751128f71b2780e6c74982ba17b8da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)}\\ f'(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"96\" 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-745a8ca29575777f5ed665282b33ba5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)}\\ f'(x)=-9\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"111\" 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-851faa652678a22b7aa681ef83544459_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)}\\ f'(x)=\\cfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"100\" style=\"vertical-align: -12px;\"><\/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-4a2874e7133b50fc9e7dd628a35296a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)}\\ f'(x)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"96\" 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-1887bdd187bb5bcf860a6a8692de2660_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F)}\\ f'(x)=\\sqrt{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"111\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Embora os coeficientes da fun\u00e7\u00e3o sejam fra\u00e7\u00f5es ou ra\u00edzes, a deriva\u00e7\u00e3o da fun\u00e7\u00e3o linear \u00e9 feita da mesma forma.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Neste artigo mostramos quanto \u00e9 a derivada de uma fun\u00e7\u00e3o linear. Adicionalmente, resolvemos v\u00e1rios exemplos de derivadas de fun\u00e7\u00f5es lineares e demonstramos a f\u00f3rmula para este tipo de derivada. Voc\u00ea encontrar\u00e1 at\u00e9 exerc\u00edcios resolvidos sobre derivadas de fun\u00e7\u00f5es lineares. Qual \u00e9 a derivada de uma fun\u00e7\u00e3o linear? A derivada de uma fun\u00e7\u00e3o linear \u00e9 o &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/pt\/derivada-de-uma-funcao-linear\/\"> <span class=\"screen-reader-text\">Derivada de uma fun\u00e7\u00e3o linear<\/span> Leia mais &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":[11],"tags":[],"class_list":["post-378","post","type-post","status-publish","format-standard","hentry","category-derivados"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Derivada de uma fun\u00e7\u00e3o linear - Matoridade<\/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\/pt\/derivada-de-uma-funcao-linear\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Derivada de uma fun\u00e7\u00e3o linear - Matoridade\" \/>\n<meta property=\"og:description\" content=\"Neste artigo mostramos quanto \u00e9 a derivada de uma fun\u00e7\u00e3o linear. Adicionalmente, resolvemos v\u00e1rios exemplos de derivadas de fun\u00e7\u00f5es lineares e demonstramos a f\u00f3rmula para este tipo de derivada. Voc\u00ea encontrar\u00e1 at\u00e9 exerc\u00edcios resolvidos sobre derivadas de fun\u00e7\u00f5es lineares. Qual \u00e9 a derivada de uma fun\u00e7\u00e3o linear? A derivada de uma fun\u00e7\u00e3o linear \u00e9 o &hellip; Derivada de uma fun\u00e7\u00e3o linear Leia mais &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/pt\/derivada-de-uma-funcao-linear\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-03T20:49:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da354d71cc8fcc91ec98275630d162d9_l3.png\" \/>\n<meta name=\"author\" content=\"Equipe Mathoridade\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Equipe Mathoridade\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/pt\/derivada-de-uma-funcao-linear\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/pt\/derivada-de-uma-funcao-linear\/\"},\"author\":{\"name\":\"Equipe Mathoridade\",\"@id\":\"https:\/\/mathority.org\/pt\/#\/schema\/person\/26defeb7b79f5baaedafa33a1ac6ac00\"},\"headline\":\"Derivada de uma fun\u00e7\u00e3o linear\",\"datePublished\":\"2023-07-03T20:49:06+00:00\",\"dateModified\":\"2023-07-03T20:49:06+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/pt\/derivada-de-uma-funcao-linear\/\"},\"wordCount\":424,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/pt\/#organization\"},\"articleSection\":[\"Derivados\"],\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/pt\/derivada-de-uma-funcao-linear\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/pt\/derivada-de-uma-funcao-linear\/\",\"url\":\"https:\/\/mathority.org\/pt\/derivada-de-uma-funcao-linear\/\",\"name\":\"Derivada de uma fun\u00e7\u00e3o linear - 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