{"id":381,"date":"2023-07-03T19:15:07","date_gmt":"2023-07-03T19:15:07","guid":{"rendered":"https:\/\/mathority.org\/id\/turunan-dari-fungsi-eksponensial\/"},"modified":"2023-07-03T19:15:07","modified_gmt":"2023-07-03T19:15:07","slug":"turunan-dari-fungsi-eksponensial","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/turunan-dari-fungsi-eksponensial\/","title":{"rendered":"Turunan dari fungsi eksponensial"},"content":{"rendered":"<p>Pada artikel ini kami menjelaskan cara menurunkan fungsi eksponensial. Anda akan menemukan rumus turunan eksponensial (dengan basis a dan basis e) dan menyelesaikan latihan turunan fungsi eksponensial.<\/p>\n<p> <strong>Aturan turunan fungsi eksponensial bergantung pada basis pangkat<\/strong> , karena bergantung pada apakah basisnya berupa bilangan (a) atau bilangan e, fungsi tersebut diturunkan secara berbeda. Itu sebabnya kita akan melihat masing-masing kasus secara terpisah di bawah ini, lalu merangkum kedua rumus tersebut untuk memahami sepenuhnya cara menurunkan fungsi eksponensial. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-de-la-funcion-exponencial-de-base-a\"><\/span> Turunan fungsi eksponensial dengan basis a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Turunan fungsi eksponensial dengan basis a<\/strong> sama dengan hasil kali fungsi tersebut dan logaritma natural basis pangkat dan turunan eksponen.<\/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-9e08a04b92ffd23b3c62e687287db57e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=a^u\\cdot \\ln(a) \\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"393\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Misalnya turunan fungsi eksponensial berikut adalah: <\/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-eca1e7d1e4ab3de9246f94860ef319ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=5^{x^2+1} \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=5^{x^2+1}\\cdot \\ln(5) \\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"445\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-de-la-funcion-exponencial-de-base-e\"><\/span> Turunan fungsi eksponensial dengan basis e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Turunan fungsi eksponensial dengan basis e<\/strong> ekuivalen dengan hasil kali fungsi yang sama dengan turunan eksponennya.<\/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-de605bc131ee2baa1c99471c42466903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=e^u\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"340\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Misalnya turunan bilangan e yang dipangkatkan menjadi 4x adalah: <\/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-ea7ab035947d16b1bdb178d7626dbfbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^{4x}\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=e^{4x} \\cdot 4=4e^{4x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"404\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-exponencial\"><\/span> Rumus turunan eksponensial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Seperti yang telah kita lihat, turunan fungsi eksponensial bergantung pada basisnya. Dan dua rumus yang digunakan untuk menurunkan fungsi eksponensial 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-exponentielle.webp\" alt=\"turunan eksponensial\" class=\"wp-image-1818\" width=\"374\" height=\"264\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-exponencial-de-e-a-la-x\"><\/span> Turunan eksponensial dari e ke x<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita mengetahui rumus turunan eksponensial, kita akan menganalisis kasus turunan e dalam x, karena merupakan kasus yang aneh.<\/p>\n<p> <strong>Turunan fungsi e ke x selalu menghasilkan fungsi itu sendiri<\/strong> , artinya berapa kali pun kita mendiferensiasikan fungsi e <sup>x<\/sup> , kita akan selalu mendapatkan fungsi yang sama.<\/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-8e988fea0397345c314c2ebc81b0ae37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c} f(x)=e^x \\\\[2ex] f'(x)=e^x\\\\[2ex] f''(x)=e^x\\\\[2ex] f'''(x)=e^x\\\\ \\vdots\\\\ f^n(x)=e^x\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"184\" width=\"86\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Sifat fungsi e yang dipangkatkan ke x ini disebabkan oleh turunan dari x adalah 1. Oleh karena itu, ketika menurunkan, kita selalu mengalikan fungsi itu sendiri dengan 1 dan, sebagai hasilnya, kita selalu mendapatkan fungsi asal. <\/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-813ea4b6f7f7e4fe8b42bbcfb51c7852_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^x \\quad\\longrightarrow\\quad f'(x)=e^x\\cdot 1= e^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"290\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-derivadas-de-funciones-exponenciales\"><\/span> Menyelesaikan masalah turunan fungsi eksponensial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> Latihan 1<\/h3>\n<p> Turunkan fungsi eksponensial 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-7de1da2b9fd94b2dc66e4b8d76e9c9bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" style=\"vertical-align: -5px;\"><\/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>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Fungsi tersebut didasarkan pada bilangan selain e, jadi kita perlu menggunakan rumus 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-9e08a04b92ffd23b3c62e687287db57e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=a^u\\cdot \\ln(a) \\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"393\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Oleh karena itu, turunan fungsi eksponensial basis 3 adalah: <\/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-cde0dfbeae96c0d86be1974d1e9f5fa4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3^x \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=3^x\\cdot \\ln(3) \\cdot 1=3^x\\cdot \\ln(3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"477\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 2<\/h3>\n<p> Hitung turunan fungsi eksponensial 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-2b67ede3af479a1a20bb869d00d7a55d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=7^{3x^2-4x}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"114\" style=\"vertical-align: -5px;\"><\/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>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Fungsi pada latihan ini didasarkan pada bilangan selain e, sehingga harus diterapkan rumus 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-9e08a04b92ffd23b3c62e687287db57e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=a^u\\cdot \\ln(a) \\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"393\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Jadi turunan dari fungsi tersebut adalah: <\/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-db999a17327fb3983942af23c5a11a1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=7^{3x^2-4x} \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=7^{3x^2-4x}\\cdot \\ln(7) \\cdot (6x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"518\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 3<\/h3>\n<p> Tentukan turunan fungsi eksponensial berikut dengan basis e: <\/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-9c2e32c1eea83d0ac98d8317339d4d40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^{(5x^2-9x)^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"130\" style=\"vertical-align: -5px;\"><\/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>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Fungsi pada latihan ini mempunyai bilangan dasar e, sehingga kita dapat menggunakan rumus 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-de605bc131ee2baa1c99471c42466903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=e^u\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"340\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan penurunan fungsi eksponensial menghasilkan:<\/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-c0281155c7414dc3d2876048f52b3cf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=e^{(5x^2-9x)^3} \\cdot 3(5x^2-9x)^2\\cdot (10x-9)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"331\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Perhatikan bahwa untuk menyelesaikan turunan ini kita perlu menggunakan aturan rantai.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Latihan 4<\/h3>\n<p> Temukan turunan dari fungsi eksponensial berikut dengan akar sebagai eksponen:<\/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-991dfad4c35630b1aaa73dc919c43013_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=9^{\\sqrt{5x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-dari-fungsi-akar-irasional-radikal\/\">turunan dari fungsi radikal<\/a><\/span> <\/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>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> di sana Meskipun ada ekspresi radikal dalam eksponen, kita masih perlu menggunakan aturan untuk menurunkan fungsi eksponensial dari basis a:<\/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-9e08a04b92ffd23b3c62e687287db57e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=a^u\\cdot \\ln(a) \\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"393\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Oleh karena itu, turunan dari fungsi eksponensial majemuk adalah: <\/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-a51d0a3b53cf4bfbf1aed0095d290002_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=9^{\\sqrt{5x}}\\cdot \\ln(9) \\cdot \\cfrac{5}{2\\sqrt{5x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"206\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 5<\/h3>\n<p> Turunkan fungsi eksponensial berikut dari basis e dengan eksponen pecahan:<\/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-de0492ce5da22dff9013f236e778d71d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^{\\frac{x^2}{5-3x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/turunan-dari-hasil-bagi-pembagian\/\">turunan dari suatu hasil bagi fungsi<\/a><\/span> <\/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>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Basis pangkatnya adalah bilangan e, jadi kita akan menggunakan aturan berikut untuk membagi fungsinya:<\/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-de605bc131ee2baa1c99471c42466903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^u \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=e^u\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"340\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Oleh karena itu, turunan dari fungsi eksponensial adalah: <\/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-288902dc45d9104ecf869510b1977ee5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;=e^{\\frac{x^2}{5-3x}} \\cdot \\cfrac{2x\\cdot (5-3x)-x^2\\cdot (-3)}{(5-3x)^2}\\\\[3ex] &amp;=e^{\\frac{x^2}{5-3x}} \\cdot \\cfrac{10x-6x^2+3x^2}{(5-3x)^2}\\\\[3ex] &amp;=e^{\\frac{x^2}{5-3x}} \\cdot \\cfrac{10x-3x^2}{(5-3x)^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"196\" width=\"302\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Pada artikel ini kami menjelaskan cara menurunkan fungsi eksponensial. Anda akan menemukan rumus turunan eksponensial (dengan basis a dan basis e) dan menyelesaikan latihan turunan fungsi eksponensial. Aturan turunan fungsi eksponensial bergantung pada basis pangkat , karena bergantung pada apakah basisnya berupa bilangan (a) atau bilangan e, fungsi tersebut diturunkan secara berbeda. Itu sebabnya kita &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/turunan-dari-fungsi-eksponensial\/\"> <span class=\"screen-reader-text\">Turunan dari fungsi eksponensial<\/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-381","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 fungsi eksponensial - 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-fungsi-eksponensial\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Turunan dari fungsi eksponensial - Mathority\" \/>\n<meta property=\"og:description\" content=\"Pada artikel ini kami menjelaskan cara menurunkan fungsi eksponensial. Anda akan menemukan rumus turunan eksponensial (dengan basis a dan basis e) dan menyelesaikan latihan turunan fungsi eksponensial. Aturan turunan fungsi eksponensial bergantung pada basis pangkat , karena bergantung pada apakah basisnya berupa bilangan (a) atau bilangan e, fungsi tersebut diturunkan secara berbeda. 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