{"id":35,"date":"2023-09-17T11:02:19","date_gmt":"2023-09-17T11:02:19","guid":{"rendered":"https:\/\/mathority.org\/ko\/%ec%95%84%ed%81%ac%ed%83%84%ec%a0%a0%ed%8a%b8-1%ec%9d%98-%eb%af%b8%eb%b6%84\/"},"modified":"2023-09-17T11:02:19","modified_gmt":"2023-09-17T11:02:19","slug":"%ec%95%84%ed%81%ac%ed%83%84%ec%a0%a0%ed%8a%b8-1%ec%9d%98-%eb%af%b8%eb%b6%84","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%ec%95%84%ed%81%ac%ed%83%84%ec%a0%a0%ed%8a%b8-1%ec%9d%98-%eb%af%b8%eb%b6%84\/","title":{"rendered":"\uc544\ud06c\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84"},"content":{"rendered":"<p>\uc774 \uae30\uc0ac\uc5d0\uc11c\ub294 \ud568\uc218\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8\ub97c \uc720\ub3c4\ud558\ub294 \ubc29\ubc95\uc744 \ubc30\uc6c1\ub2c8\ub2e4. \ub610\ud55c \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uc608\ub97c \ubcfc \uc218 \uc788\uc73c\uba70 \uc544\ud06c\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uc5f0\uc2b5\ubb38\uc81c\ub97c \ud480\uc5b4 \uc5f0\uc2b5\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \uc544\ud06c\ud0c4\uc820\ud2b8 \ubbf8\ubd84 \uacf5\uc2dd\uc758 \uc99d\uba85\ub3c4 \ubcf4\uc5ec\ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-derivada-del-arcotangente\"><\/span> \uc544\ud06c\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84\uc740 \ubb34\uc5c7\uc785\ub2c8\uae4c?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>x\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8 \ubbf8\ubd84\uc740 1\/1 \ub354\ud558\uae30 x \uc81c\uacf1\uc785\ub2c8\ub2e4.<\/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-cdeb5e29b862b8b9d5bc9f4c2c747106_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{1+x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"404\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c <strong>\ud568\uc218\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\ub294<\/strong> \ud574\ub2f9 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c 1\ub85c \ub098\ub208 \uac12\uacfc \ud574\ub2f9 \ud568\uc218\uc758 \uc81c\uacf1\uc744 \ub354\ud55c \uac12\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-6c6546edbf0ff2d0ccba20a7fac11b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{1+u^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"404\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \uc774 \uacbd\uc6b0 \ud568\uc218\ub294 au\ub85c \ud45c\uc2dc\ub418\ubbc0\ub85c \uc774\uac83\uc774 \ud568\uc218 u\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218 \uacf5\uc2dd\uc774 \ub429\ub2c8\ub2e4. <\/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-arctangente.webp\" alt=\"\uc544\ud06c\ud0c4\uc820\ud2b8\uc5d0\uc11c \ud30c\uc0dd\" class=\"wp-image-1997\" width=\"389\" height=\"296\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \ubcf4\uc2dc\ub2e4\uc2dc\ud53c, \uc5ed\ud0c4\uc820\ud2b8 \ubbf8\ubd84 \uacf5\uc2dd\uc740 \uc544\ud06c\uc0ac\uc778 \ubc0f \uc544\ud06c\ucf54\uc0ac\uc778 \ubbf8\ubd84 \uacf5\uc2dd\uacfc \ub9e4\uc6b0 \uc720\uc0ac\ud569\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-arcotangente\"><\/span> \uc544\ud06c\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\uc758 \uc608<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc544\ud06c\ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218 \uacf5\uc2dd\uc744 \uc54c\uac8c \ub418\uba74 \uc774\ub7ec\ud55c \uc720\ud615\uc758 \uc0bc\uac01\ud568\uc218 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uba87 \uac00\uc9c0 \uc608\uc758 \uc720\ub3c4\ub97c \uc124\uba85\ud560 \uac83\uc785\ub2c8\ub2e4. \uc774\ub807\uac8c \ud558\uba74 \ud568\uc218\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8\uac00 \uc5b4\ub5bb\uac8c \ud30c\uc0dd\ub418\ub294\uc9c0 \uc774\ud574\ud558\ub294 \uac83\uc774 \ub354 \uc26c\uc6b8 \uac83\uc785\ub2c8\ub2e4. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-del-arcotangente-de-2x\"><\/span> \uc608 1: 2x \uc544\ud06c\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84<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-3c8877ac889f77baa22f66d4b2568418_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"139\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc6b0\ub9ac\ub294 \ub3c4\ud568\uc218\ub97c \ud480\uae30 \uc704\ud574 \uacf5\uc2dd\uc744 \uc801\uc6a9\ud569\ub2c8\ub2e4:<\/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-6c6546edbf0ff2d0ccba20a7fac11b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{1+u^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"404\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> 2x\uc758 \ub3c4\ud568\uc218\ub294 2\uc774\ubbc0\ub85c 2x\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\ub294 2\/1 + 2x \uc81c\uacf1\uc785\ub2c8\ub2e4. <\/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-f2a5ff151a4471bb769c46ac896ee0ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2}{1+(2x)^2}}=\\cfrac{2}{1+ 4x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"518\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-del-arcotangente-de-x-al-cuadrado\"><\/span> \uc608 2: x \uc81c\uacf1\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8 \ud30c\uc0dd<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-3f62897c299972bd734ffe87b6d28e84_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc774 \uc608\uc758 \ub3c4\ud568\uc218 \uacb0\uacfc\ub97c \ucc3e\uc73c\ub824\uba74 \uc544\ud06c\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4.<\/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-6c6546edbf0ff2d0ccba20a7fac11b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{1+u^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"404\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \ud568\uc218 x <sup>2<\/sup> \uc758 \ub3c4\ud568\uc218\ub294 2x\uc774\ubbc0\ub85c x\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8\ub97c 2\uc81c\uacf1\ud55c \ub3c4\ud568\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/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-4518d6b8df16464b2a763eb7d736504d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2x}{1+\\left(x^2\\right)^2}=\\cfrac{2x}{1+x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"507\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-del-arcotangente-del-seno-de-x\"><\/span> \uc608 3: x \uc0ac\uc778\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218<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-72df0a729eefc917694a84ecccd4a959_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}\\bigl(\\text{sen}(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"170\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \ub17c\ub9ac\uc801\uc73c\ub85c \ub3c4\ud568\uc218\ub97c \uacc4\uc0b0\ud558\ub824\uba74 \ud574\ub2f9 \uacf5\uc2dd\uc744 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4.<\/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-6c6546edbf0ff2d0ccba20a7fac11b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{1+u^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"404\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \uc774 \uacbd\uc6b0\uc5d0\ub294 \ubcf5\ud569 \ud568\uc218\uac00 \uc788\uc73c\ubbc0\ub85c \uc544\ud06c\ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\ub97c \uacc4\uc0b0\ud558\ub824\uba74 \uccb4\uc778 \uaddc\uce59\uc744 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4. <\/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-f3897b362bb6b4681404918f45e91565_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{arctan}\\bigl(\\text{sen}(x)\\bigr) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{\\text{cos}(x)}{1+\\text{sen}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"482\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-del-arcotangente\"><\/span> \uc544\ud06c\ud0c4\uc820\ud2b8 \ubbf8\ubd84\uc5d0 \ub300\ud55c \uc5f0\uc2b5\ubb38\uc81c \ud574\uacb0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ub2e4\uc74c \uc544\ud06c\ud0c4\uc820\ud2b8 \ud568\uc218\ub97c \ub3c4\ucd9c\ud569\ub2c8\ub2e4. <\/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-23cb449bba097b71c6154e6bfd755940_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f(x)=\\text{arctan}(x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"164\" 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-8ec295f2cfb72911775d2bc47d379e11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f(x)=\\cfrac{\\text{arctan}(3x^4)}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"175\" 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-5e54c5dc5ee8464186009da410740df5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } f(x)=\\text{arctan}(x^5-3x^3+10)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"252\" 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-b63b4e04e749c7b7d4cfecca4391eee7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f(x)=\\text{arctan}^3(4x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"181\" 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-6c72a415d8c2e54870c4dc2e92344cef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f(x)=\\text{arctan}\\bigl(\\ln(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"185\" style=\"vertical-align: -7px;\"><\/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-4fad4c5f97c1492b8ad5df06b165d2c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f(x)=\\text{arctan}\\left(\\sqrt{x^2+2x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"227\" style=\"vertical-align: -11px;\"><\/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>\uc194\ub8e8\uc158 \ubcf4\uae30<\/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-effa4065c7c98ae655b2cc5bdf14ca07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f'(x)=\\cfrac{3x^2}{1+\\left(x^3\\right)^2}=\\cfrac{3x^2}{1+x^6}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"235\" 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-2de05c8d708d379982abc8461f5d8706_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f'(x)=\\cfrac{12x^3}{2\\left(1+\\left(3x^4\\right)^2\\right)}=\\cfrac{6x^3}{1+9x^8}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"285\" 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-d72faae19f9b5cd7a8d53364bcf9817a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } f'(x)=\\cfrac{5x^4-9x^2}{1+\\left(x^5-3x^3+10\\right)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"248\" 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-ea7d5ff105b7432c2756cdcbf44e311b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f'(x)=3\\text{arctan}^2(4x^2)\\cdot \\cfrac{8x}{1+\\left(4x^2\\right)^2}=\\cfrac{24x\\cdot\\text{arctan}^2(4x^2)}{1+16x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"453\" 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-6eefb865fce5124f8326d122437c3124_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f'(x)=\\cfrac{\\cfrac{1}{x}}{1+\\bigl(\\ln(x)\\bigr)^2}=\\cfrac{1}{x\\left(1+\\ln^2(x)\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"315\" style=\"vertical-align: -23px;\"><\/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-6faff8aba659922b2cfc784a4f3dae4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f'(x)=\\cfrac{1}{1+\\left(\\sqrt{x^2+2x}\\right)^2}\\cdot \\cfrac{2x+2}{2\\sqrt{x^2+2x}}=\\cfrac{x+1}{\\left(1+x^2+2x\\right)\\sqrt{x^2+2x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"524\" style=\"vertical-align: -33px;\"><\/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-arcotangente\"><\/span>\uc544\ud06c\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd \uc2dc\uc5f0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ub2e4\uc74c\uc73c\ub85c \uc544\ud06c\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \uc99d\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/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-88c05a50eddb183a57270676d6ebc5cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\text{arctan}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"105\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uba3c\uc800 \uc544\ud06c\ud0c4\uc820\ud2b8\uac00 \ud0c4\uc820\ud2b8\uc758 \uc5ed\ud568\uc218\ub77c\ub294 \uc0ac\uc2e4\uc744 \uc774\uc6a9\ud558\uc5ec \uc544\ud06c\ud0c4\uc820\ud2b8\ub97c \ud0c4\uc820\ud2b8\ub85c \ubcc0\ud658\ud569\ub2c8\ub2e4.<\/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-e806041dd9dbc7cf01bb34014aa18d59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\text{tan}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc6b0\ub9ac\ub294 \ubc29\uc815\uc2dd\uc758 \uc591\uba74\uc744 \uad6c\ubcc4\ud569\ub2c8\ub2e4:<\/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-ca9f080338b9ab014e272f81395146ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1=\\cfrac{1}{\\text{cos}^2(y)}\\cdot y'\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"114\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uc6b0\ub9ac\ub294 \uc9c0\uc6b0\uace0 &#8216;:<\/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-05c04d0ce365d8bd7848d4923038778c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\text{cos}^2(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"91\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ubc18\uba74, \uae30\ubcf8\uc801\uc778 \uc0bc\uac01\ubc95 \ud56d\ub4f1\uc2dd \ub355\ubd84\uc5d0 \uc0ac\uc778\uacfc \ucf54\uc0ac\uc778\uc758 \uc81c\uacf1\uc758 \ud569\uc740 1\uc774\ub77c\ub294 \uac83\uc744 \uc54c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc774\uc804 \ud45c\ud604\uc2dd\uc744 \ubd84\uc218\ub85c \ubcc0\ud658\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/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-34f7d2ec2a5836c843db8adea73d021f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}^2(y)+\\text{cos}^2(y)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" 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-d5314e15fe7e8ff7c9155906e7725483_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{\\text{cos}^2(y)}{1}=\\cfrac{\\text{cos}^2(y)}{\\text{sen}^2(y)+\\text{cos}^2(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"252\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ubaa8\ub4e0 \ud56d\uc744 \ucf54\uc0ac\uc778\uc758 \uc81c\uacf1\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/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-39e03a87b9a62ab2db6a56192e44f531_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{\\cfrac{\\text{cos}^2(y)}{\\text{cos}^2(y)}}{\\cfrac{\\text{sen}^2(y)}{\\text{cos}^2(y)}+\\cfrac{\\text{cos}^2(y)}{\\text{cos}^2(y)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"176\" style=\"vertical-align: -44px;\"><\/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-3cf88afedfff6a5c53ffb31df510b4ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\cfrac{\\text{sen}^2(y)}{\\text{cos}^2(y)}+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"128\" style=\"vertical-align: -44px;\"><\/p>\n<\/p>\n<p> \uc0ac\uc778\uc744 \ucf54\uc0ac\uc778\uc73c\ub85c \ub098\ub208 \uac12\uc740 \ud0c4\uc820\ud2b8\uc640 \ub3d9\uc77c\ud558\ubbc0\ub85c \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-dbf6d65fa67f0a2161bd99ee7431f015_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x)=\\cfrac{\\text{sen}(x)}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"124\" style=\"vertical-align: -17px;\"><\/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-db914ed4a068a6dff2598b981b1682d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{\\text{tan}^2(y)+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"126\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uc704\uc5d0\uc11c \ubcf8 \uac83\ucc98\ub7fc \ud0c4\uc820\ud2b8\ub294 \ubcc0\uc218 x\uc640 \ub3d9\uc77c\ud558\ubbc0\ub85c \uc544\ud06c\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218 \uacf5\uc2dd\uc5d0 \ub3c4\ub2ec\ud558\uae30 \uc704\ud574 \ud45c\ud604\uc2dd\uc744 \ub300\uccb4\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/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-61292316edd6cef99a6135989713cd22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y'=\\cfrac{1}{x^2+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"88\" style=\"vertical-align: -14px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \uae30\uc0ac\uc5d0\uc11c\ub294 \ud568\uc218\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8\ub97c \uc720\ub3c4\ud558\ub294 \ubc29\ubc95\uc744 \ubc30\uc6c1\ub2c8\ub2e4. \ub610\ud55c \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uc608\ub97c \ubcfc \uc218 \uc788\uc73c\uba70 \uc544\ud06c\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uc5f0\uc2b5\ubb38\uc81c\ub97c \ud480\uc5b4 \uc5f0\uc2b5\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \uc544\ud06c\ud0c4\uc820\ud2b8 \ubbf8\ubd84 \uacf5\uc2dd\uc758 \uc99d\uba85\ub3c4 \ubcf4\uc5ec\ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4. \uc544\ud06c\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84\uc740 \ubb34\uc5c7\uc785\ub2c8\uae4c? x\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8 \ubbf8\ubd84\uc740 1\/1 \ub354\ud558\uae30 x \uc81c\uacf1\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud568\uc218\uc758 \uc544\ud06c\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\ub294 \ud574\ub2f9 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c 1\ub85c \ub098\ub208 \uac12\uacfc \ud574\ub2f9 \ud568\uc218\uc758 \uc81c\uacf1\uc744 \ub354\ud55c \uac12\uacfc &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%ec%95%84%ed%81%ac%ed%83%84%ec%a0%a0%ed%8a%b8-1%ec%9d%98-%eb%af%b8%eb%b6%84\/\"> <span class=\"screen-reader-text\">\uc544\ud06c\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84<\/span> \ub354 \ubcf4\uae30 &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":[7],"tags":[],"class_list":["post-35","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This 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