{"id":50,"date":"2023-09-17T10:54:18","date_gmt":"2023-09-17T10:54:18","guid":{"rendered":"https:\/\/mathority.org\/ko\/%ec%bd%94%ed%83%84%ec%a0%a0%ed%8a%b8%ec%9d%98-%ed%8c%8c%ec%83%9d%eb%ac%bc\/"},"modified":"2023-09-17T10:54:18","modified_gmt":"2023-09-17T10:54:18","slug":"%ec%bd%94%ed%83%84%ec%a0%a0%ed%8a%b8%ec%9d%98-%ed%8c%8c%ec%83%9d%eb%ac%bc","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%ec%bd%94%ed%83%84%ec%a0%a0%ed%8a%b8%ec%9d%98-%ed%8c%8c%ec%83%9d%eb%ac%bc\/","title":{"rendered":"\ucf54\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84"},"content":{"rendered":"<p>\uc774\ubc88 \uae00\uc5d0\uc11c\ub294 \ud568\uc218\uc758 \ucf54\ud0c4\uc820\ud2b8\ub97c \uc720\ub3c4\ud558\ub294 \ubc29\ubc95\uc744 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ucf54\ud0c4\uc820\ud2b8 \ubbf8\ubd84\uc758 \uc608\uc640 \ub2e8\uacc4\ubcc4\ub85c \ud574\uacb0\ub418\ub294 \uc5f0\uc2b5\ubb38\uc81c\ub97c \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \ucf54\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \uc99d\uba85\ud569\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-la-cotangente\"><\/span> \ucf54\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>x\uc758 \ucf54\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\ub294 x \uc0ac\uc778\uc758 \uc81c\uacf1\uc5d0 \ub300\ud55c \uc74c\uc758 1\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/strong> x\uc758 \ucf54\ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\ub294 x\uc758 \ucf54\uc2dc\ucee8\ud2b8\uc758 \uc81c\uacf1\uc744 \ube7c\uace0 1\uacfc x\uc758 \ucf54\ud0c4\uc820\ud2b8\uc758 \uc81c\uacf1\uc758 \ud569\uc744 \ube80 \uac83\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-0a3653f5c765d773ebc789107bf1a825_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{cotg}(x)\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\color{black}\\\\ f'(x)=-\\cfrac{1}{\\text{sen}^2(x)}=-\\text{cosec}^2(x)=-\\left(1+\\text{cotg}^2(x)\\right)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"393\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uc778\uc218 \ucf54\ud0c4\uc820\ud2b8\uac00 x \uc774\uc678\uc758 \ud568\uc218\uc778 \uacbd\uc6b0 \ud568\uc218\uc758 \ucf54\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd\uc740 \uc774\uc804 \uacf5\uc2dd\uacfc \ub3d9\uc77c\ud558\uc9c0\ub9cc \ud45c\ud604\uc2dd\uc5d0 \uc778\uc218 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \uacf1\ud569\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-center\"><meta charset=\"utf-8\"><\/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-38ea1d1edeaf5664c56a946b5a87577d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{cotg}(u)\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\color{black}\\\\ f'(x)=-\\cfrac{u'}{\\text{sen}^2(u)}=-u' \\cdot \\text{cosec}^2(u)=-u' \\cdot \\left(1+\\text{cotg}^2(u)\\right)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"445\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uc774\ub294 \ucf54\ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\ub97c \ucc3e\ub294 \uc138 \uac00\uc9c0 \ub2e4\ub978 \uacf5\uc2dd\uc774 \uc788\uc74c\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4. \ud558\uc9c0\ub9cc \ub17c\ub9ac\uc801\uc73c\ub85c \uc138 \uac00\uc9c0 \uc218\uc2dd\uc744 \ubaa8\ub450 \uc0ac\uc6a9\ud560 \ud544\uc694\ub294 \uc5c6\uace0, \uc120\ud638\ud558\ub294 \uc218\uc2dd\uc73c\ub85c \uc720\ub3c4\ud558\uba74 \ub429\ub2c8\ub2e4. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/derivee-de-la-cotangente.webp\" alt=\"\ucf54\ud0c4\uc820\ud2b8\uc5d0\uc11c \ud30c\uc0dd\" class=\"wp-image-2685\" width=\"428\" height=\"361\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-la-cotangente\"><\/span> \ucf54\ud0c4\uc820\ud2b8 \ud30c\uc0dd\ubb3c\uc758 \uc608<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc774\uc81c \uc6b0\ub9ac\ub294 \ud568\uc218\uc758 \ucf54\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd\uc744 \ubcf4\uc558\uc73c\ubbc0\ub85c \uc774 \uc139\uc158\uc5d0\uc11c\ub294 \uc774\ub7ec\ud55c \uc720\ud615\uc758 \uc0bc\uac01 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uba87 \uac00\uc9c0 \uc608\ub97c \ud480 \uac83\uc785\ub2c8\ub2e4. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-de-la-cotangente-de-2x\"><\/span> \uc608 1: 2x\uc758 \ucf54\ud0c4\uc820\ud2b8 \ud30c\uc0dd<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \uc774 \uc608\uc5d0\uc11c \uc6b0\ub9ac\ub294 \ud568\uc218 2x\uc758 \ucf54\ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uac00 \ubb34\uc5c7\uc778\uc9c0 \ubcfc \uac83\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-b95db136ea1e222c9f810d724216b083_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotg}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"123\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc6b0\ub9ac\uac00 \ubcf8 \uac83\ucc98\ub7fc, \ucf54\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84\uc744 \uacc4\uc0b0\ud558\ub824\uba74 \uc704\uc5d0\uc11c \ubcf8 \uc138 \uac00\uc9c0 \uacf5\uc2dd \uc911 \ud558\ub098\ub97c \uc0ac\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \uacbd\uc6b0 \uc815\ud604\ud30c \uacf5\uc2dd\uc744 \uc0ac\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-b071b560415fc193171a74fd0b4b84cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotg}(u)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{u'}{\\text{sen}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"409\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> 2x\ub294 1\ucc28 \ud56d\uc774\ubbc0\ub85c \uadf8 \ub3c4\ud568\uc218\ub294 2\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c 2x\uc758 \ucf54\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\ub294 \uc74c\uc218 2\ub97c 2x \uc0ac\uc778\uc758 \uc81c\uacf1\uc73c\ub85c \ub098\ub208 \uac12\uc785\ub2c8\ub2e4. <\/p>\n<p class=\"has-text-align-center\"><meta charset=\"utf-8\"><\/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-4151decbf7dd792fd0ea6aa6ca4b55f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotg}(2x)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{2}{\\text{sen}^2(2x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"426\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-de-la-cotangente-de-x-al-cuadrado\"><\/span> \uc608 2: x \uc81c\uacf1\uc758 \ucf54\ud0c4\uc820\ud2b8 \ud30c\uc0dd<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \ub450 \ubc88\uc9f8 \uc608\uc5d0\uc11c\ub294 x \uc81c\uacf1\uc758 \ucf54\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\uac00 \ubb34\uc5c7\uc778\uc9c0 \ud655\uc778\ud560 \uac83\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-ec3733080f720a5115d2d6719d33d7e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotg}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc774 \uc608\uc5d0\uc11c \ucf54\ud0c4\uc820\ud2b8 \uc778\uc218\uc758 \ud568\uc218\ub294 x\uac00 \uc544\ub2c8\ubbc0\ub85c \ucf54\ud0c4\uc820\ud2b8\ub97c \uad6c\ubcc4\ud558\uae30 \uc704\ud574 \uccb4\uc778 \uaddc\uce59\uc744 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-center\"><meta charset=\"utf-8\"><\/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-b071b560415fc193171a74fd0b4b84cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotg}(u)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{u'}{\\text{sen}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"409\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> x \uc81c\uacf1\uc758 \ub3c4\ud568\uc218\ub294 2x\uc774\ubbc0\ub85c x <sup>2<\/sup> \uc758 \ucf54\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/p>\n<p class=\"has-text-align-center\"><meta charset=\"utf-8\"><meta charset=\"utf-8\"><\/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-6aef87160d0da1da0b32e1e200f31b7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotg}(x^2)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{2x}{\\text{sen}^2(x^2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"424\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-de-la-cotangente-al-cubo\"><\/span> \uc608 3: \ucf54\ud0c4\uc820\ud2b8 \uc138\uc81c\uacf1\uc758 \ub3c4\ud568\uc218<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \ub2e4\ud56d\uc2dd \ud568\uc218\uc758 \ucf54\ud0c4\uc820\ud2b8 \uc138\uc81c\uacf1\uc758 \ub3c4\ud568\uc218\uac00 \uc5bc\ub9c8\uc778\uc9c0 \uc54c\uc544 \ubcf4\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-9be8c3c10c50e3ef6bb701a11d3f46c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cotg}^3(x^5-6x^2+10)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc774 \uacbd\uc6b0 \ud568\uc218\uc758 \uad6c\uc131\uc774 \uc788\uc73c\ubbc0\ub85c \ucf54\ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\ub97c \ucc3e\uae30 \uc704\ud574 \uac70\ub4ed\uc81c\uacf1\uc758 \ub3c4\ud568\uc218 \uacf5\uc2dd\uacfc \ud568\uaed8 \uc5f0\uc1c4 \ubc95\uce59\uc744 \uc0ac\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4. <\/p>\n<p class=\"has-text-align-center\"><meta charset=\"utf-8\"><meta charset=\"utf-8\"><\/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-ed0c6f314584b0f00021e3833de2b223_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=-3\\cdot\\text{cotg}^2(x^5-6x^2+10)\\cdot\\frac{5x^4-12x}{\\text{sen}^2(x^5-6x^2+10)}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"424\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-de-la-cotangente\"><\/span> \ucf54\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84\uc5d0 \ub300\ud55c \ud574\uacb0 \uc5f0\uc2b5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ub2e4\uc74c \ucf54\ud0c4\uc820\ud2b8 \ud568\uc218\uc758 \ubbf8\ubd84\uc744 \uacc4\uc0b0\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-e1e391853b53d81ed500fd590799cbba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f(x)=\\text{cotg}(5x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" 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-8581122adcd9d79db9862a27b57af0a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f(x)=\\text{cotg}(2x^4+10x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" 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-e7814ccc95124c55f86b2f7036178254_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } \\displaystyle f(x)=\\text{cotg}^5\\left(\\frac{x}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"160\" 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-1dcf8b02c8e9d9712210a78d116e2fc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f(x)=\\text{cotg}\\left(e^{x^2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"162\" 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-f358f9329696ee71ac2c1abfd5f9668e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f(x)=\\text{cotg}\\bigl(\\ln(x^2)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"176\" 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-e26ae47cb88a301a3353d868fc9b74f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f(x)=\\text{cotg}\\left(\\sqrt{8x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"166\" 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>\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-b002740b34952198a8284265a444cbed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f'(x)=-\\cfrac{5}{\\text{sen}^2(5x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"171\" 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-d9b86f549fab91f93d0fc4e437e1c4aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f'(x)=-\\cfrac{8x+10}{\\text{sen}^2(2x^4+10x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"257\" 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-eb1435fb7eb0c7bcff84741362417548_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } \\displaystyle f'(x)=5\\cdot \\text{cotg}^4\\left(\\frac{x}{2}\\right)\\cdot \\left(-\\frac{1}{\\text{sen}^2\\left(\\frac{x}{2}\\right)}\\right)\\cdot \\frac{1}{2}=-\\frac{5\\cdot \\text{cotg}^4\\left(\\frac{x}{2}\\right)}{2\\cdot \\text{sen}^2\\left(\\frac{x}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"468\" 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-4fb5fc0cea94ec46660b5bb16d9daaa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f'(x)=-\\cfrac{2x\\cdot e^{x^2}}{\\text{sen}^2(e^{x^2})}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"175\" style=\"vertical-align: -18px;\"><\/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-efc6c63eb1a5cfc3f89deb4cfc3b4586_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f'(x)=-\\cfrac{\\cfrac{2x}{x^2}}{\\text{sen}^2\\bigl(\\ln(x^2)\\bigr)}=-\\cfrac{2}{x\\cdot\\text{sen}^2\\bigl(\\ln(x^2)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"356\" 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-70d6c7ac291ee53490646ae841842eef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f'(x)=-\\cfrac{\\frac{8}{2\\sqrt{8x}}}{\\text{sen}^2\\left(\\sqrt{8x}\\right)}=-\\cfrac{4}{\\sqrt{8x}\\cdot \\text{sen}^2\\left(\\sqrt{8x}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"360\" style=\"vertical-align: -21px;\"><\/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-derivada-de-la-cotangente\"><\/span> \ucf54\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uc99d\uba85<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc774 \ub9c8\uc9c0\ub9c9 \uc139\uc158\uc5d0\uc11c\ub294 \ucf54\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \ubcf4\uc5ec \ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574 \ucf54\uc0ac\uc778\uc744 \uc0ac\uc778\uc73c\ub85c \ub098\ub208 \uac83\uacfc \ub3d9\uc77c\ud55c \ucf54\ud0c4\uc820\ud2b8 \ud568\uc218\uc758 \uc218\ud559\uc801 \uc815\uc758\ubd80\ud130 \uc2dc\uc791\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-dd85e2f7ac86aa67c6bd2f82fedfa926_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cotg}(x)=\\cfrac{\\text{cos}(x)}{\\text{sen}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"131\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uc774\uc81c \uc6b0\ub9ac\ub294 \ubaab\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uaddc\uce59\uc744 \uc801\uc6a9\ud558\uc5ec \ud568\uc218\ub97c \ucc28\ubcc4\ud654\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-0eb90358967efc64de6d45b8eabe5e37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\bigl(\\text{cotg}(x)\\bigr)'=\\left(\\frac{\\text{cos}(x)}{\\text{sen}(x)}\\right)'\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"181\" 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-7685acfe693a3c5e8dd2e543ad8ec7c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cotg}'(x)=\\cfrac{-\\text{sen}(x)\\cdot \\text{sen}(x)-\\text{cos}(x)\\cdot \\text{cos}(x) }{\\text{sen}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"349\" 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-9988024649ed4fdb4b1a9bb913aa813f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cotg}'(x)=\\cfrac{-\\text{sen}^2(x)-\\text{cos}^2(x)}{\\text{sen}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"243\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ubd84\ubaa8\uc5d0 \uacf5\ud1b5\uc778\uc218\ub97c \ucde8\ud558\uace0 \ubd84\uc218\uc5d0\uc11c \uc74c\uc218 \ubd80\ud638\ub97c \uc81c\uac70\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-b23352ad101cdc7e1adeb6316c6d66c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cotg}'(x)=\\cfrac{-\\bigl(\\text{sen}^2(x)+\\text{cos}^2(x)\\bigr)}{\\text{sen}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"259\" 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-df4c94284c00f257f7be601a98bf9475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cotg}'(x)=-\\cfrac{\\text{sen}^2(x)+\\text{cos}^2(x)}{\\text{sen}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"234\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ubc18\uba74, \uc6b0\ub9ac\ub294 \uae30\ubcf8\uc801\uc778 \uc0bc\uac01\ubc95 \ud56d\ub4f1\uc2dd \ub355\ubd84\uc5d0 \uc0ac\uc778\uc758 \uc81c\uacf1\uacfc \ucf54\uc0ac\uc778\uc758 \uc81c\uacf1\uc774 1\uacfc \uac19\ub2e4\ub294 \uac83\uc744 \uc54c\uace0 \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-92d80771f891319379b2e756c5524aaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}^2(x)+\\text{cos}^2(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" 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-dd14ec817754afcafd5d862afc0703b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cotg}'(x)=-\\cfrac{1}{\\text{sen}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"157\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \uc6b0\ub9ac\ub294 \ucf54\ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uccab \ubc88\uc9f8 \uacf5\uc2dd\uc744 \uc5bb\uc5c8\uc2b5\ub2c8\ub2e4. \ub9c8\ucc2c\uac00\uc9c0\ub85c \ucf54\uc2dc\ucee8\ud2b8\ub294 \uc0ac\uc778\uc758 \uacf1\uc148\uc758 \uc5ed\uc774\ubbc0\ub85c \ucf54\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\uc758 \ub450 \ubc88\uc9f8 \uaddc\uce59\ub3c4 \uc785\uc99d\ub429\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-41aafad77ef896612fe6851ee97d914a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cotg}'(x)=-\\text{sec}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \uc774 \uc0bc\uac01 \ud568\uc218\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uc138 \ubc88\uc9f8 \uacf5\uc2dd\uc740 \uc774\uc804 \ub2e8\uacc4\uc758 \ubd84\uc218\ub97c \ubd84\uc218\uc758 \ud569\uc73c\ub85c \ubcc0\ud658\ud558\uc5ec \uc99d\uba85\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-df4c94284c00f257f7be601a98bf9475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cotg}'(x)=-\\cfrac{\\text{sen}^2(x)+\\text{cos}^2(x)}{\\text{sen}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"234\" 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-3780e44f1c85235473d47f418c7bc889_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cotg}'(x)=-\\left(\\frac{\\text{sen}^2(x)}{\\text{sen}^2(x)}+\\frac{\\text{cos}^2(x)}{\\text{sen}^2(x)}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"266\" 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-e7a8b05807749ddd4b8979253dcb2f45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}'(x)=-\\bigl(1+\\text{cotg}^2(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"200\" style=\"vertical-align: -7px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc774\ubc88 \uae00\uc5d0\uc11c\ub294 \ud568\uc218\uc758 \ucf54\ud0c4\uc820\ud2b8\ub97c \uc720\ub3c4\ud558\ub294 \ubc29\ubc95\uc744 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ucf54\ud0c4\uc820\ud2b8 \ubbf8\ubd84\uc758 \uc608\uc640 \ub2e8\uacc4\ubcc4\ub85c \ud574\uacb0\ub418\ub294 \uc5f0\uc2b5\ubb38\uc81c\ub97c \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \ucf54\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \uc99d\uba85\ud569\ub2c8\ub2e4. \ucf54\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd x\uc758 \ucf54\ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\ub294 x \uc0ac\uc778\uc758 \uc81c\uacf1\uc5d0 \ub300\ud55c \uc74c\uc758 1\uacfc \uac19\uc2b5\ub2c8\ub2e4. x\uc758 \ucf54\ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\ub294 x\uc758 \ucf54\uc2dc\ucee8\ud2b8\uc758 \uc81c\uacf1\uc744 \ube7c\uace0 1\uacfc x\uc758 \ucf54\ud0c4\uc820\ud2b8\uc758 \uc81c\uacf1\uc758 \ud569\uc744 \ube80 \uac83\uacfc \uac19\uc2b5\ub2c8\ub2e4. \uc778\uc218 \ucf54\ud0c4\uc820\ud2b8\uac00 x \uc774\uc678\uc758 \ud568\uc218\uc778 \uacbd\uc6b0 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%ec%bd%94%ed%83%84%ec%a0%a0%ed%8a%b8%ec%9d%98-%ed%8c%8c%ec%83%9d%eb%ac%bc\/\"> <span class=\"screen-reader-text\">\ucf54\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-50","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This site is optimized 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