{"id":394,"date":"2023-07-03T07:22:34","date_gmt":"2023-07-03T07:22:34","guid":{"rendered":"https:\/\/mathority.org\/ko\/%ec%bd%94%ec%8b%9c%ec%bb%a8%ed%8a%b8%ec%97%90%ec%84%9c-%ec%9c%a0%eb%9e%98\/"},"modified":"2023-07-03T07:22:34","modified_gmt":"2023-07-03T07:22:34","slug":"%ec%bd%94%ec%8b%9c%ec%bb%a8%ed%8a%b8%ec%97%90%ec%84%9c-%ec%9c%a0%eb%9e%98","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%ec%bd%94%ec%8b%9c%ec%bb%a8%ed%8a%b8%ec%97%90%ec%84%9c-%ec%9c%a0%eb%9e%98\/","title":{"rendered":"\ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218"},"content":{"rendered":"<p>\uc774 \uae00\uc5d0\uc11c\ub294 \ud568\uc218(\uacf5\uc2dd)\uc758 \ucf54\uc2dc\ucee8\ud2b8\ub97c \ub3c4\ucd9c\ud558\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud569\ub2c8\ub2e4. \ub610\ud55c \ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud574 \ub2e8\uacc4\ubcc4\ub85c \ud574\uacb0\ub418\ub294 \uc5f0\uc2b5 \ubb38\uc81c\ub3c4 \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc774\ub7ec\ud55c \uc720\ud615\uc758 \uc0bc\uac01\ud568\uc218 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd\uc758 \uc2dc\uc5f0\uc744 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-la-cosecante\"><\/span> \ucf54\uc2dc\ucee8\ud2b8 \ud30c\uc0dd \uacf5\uc2dd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>x\uc758 \ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218\ub294 x\uc758 \ucf54\uc0ac\uc778\uc744 x\uc758 \uc81c\uacf1 \uc0ac\uc778\uc73c\ub85c \ub098\ub208 \ubaab\uc744 \ube7c\ub294 \uac83\uacfc \uac19\uc2b5\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-19e966c85664331b8b6c87860849678d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{\\text{cos}(x)}{\\text{sen}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"416\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uc0bc\uac01\ubc95 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec x\uc758 \ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218\ub97c x\uc758 \ucf54\uc2dc\ucee8\ud2b8 \uacf1\ud558\uae30 x\uc758 \ucf54\uc2dc\ucee8\ud2b8 \uacf1\uc758 \ub9c8\uc774\ub108\uc2a4\ub85c \uc815\uc758\ud560 \uc218\ub3c4 \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-e66d4cc483a3f2c40401bf2e34fa54c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=-\\cfrac{\\text{cos}(x)}{\\text{sen}^2(x)}=-\\cfrac{\\text{cos}(x)}{\\text{sen}(x)}\\cdot \\cfrac{1}{\\text{sen}(x)}=-\\text{cot}(x)\\cdot \\text{cosec}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"446\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \uc5f0\uc1c4 \ubc95\uce59\uc744 \uc801\uc6a9\ud558\uba74 <strong>\ud568\uc218\uc758 \ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218\ub294<\/strong> \ud568\uc218\uc758 \ub3c4\ud568\uc218\uc640 \ud568\uc218\uc758 \ucf54\uc0ac\uc778\uc744 \uacf1\ud55c \ud6c4 \ud568\uc218\uc758 \uc0ac\uc778 \uc81c\uacf1\uc73c\ub85c \ub098\ub208 \uac12\uc744 \ube80 \uac12\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-b15904d25f18713a0d713cda3ab2bfe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{u'\\cdot \\text{cos}(u)}{\\text{sen}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"435\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \ud568\uc218\uc758 \ucf54\uc2dc\ucee8\ud2b8\ub97c \uc720\ub3c4\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\ub294 \uacf5\uc2dd\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\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\/derive-de-la-formule-cosecante.webp\" alt=\"\ucf54\uc2dc\ucee8\ud2b8 \uacf5\uc2dd\uc5d0\uc11c \ud30c\uc0dd\" class=\"wp-image-2527\" width=\"398\" height=\"289\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-la-cosecante\"><\/span> \ucf54\uc2dc\ucee8\ud2b8 \ub3c4\ud568\uc218\uc758 \uc608<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ucf54\uc2dc\ucee8\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc774 \ubb34\uc5c7\uc778\uc9c0 \uc0b4\ud3b4\ubcf4\uc558\uc73c\ubbc0\ub85c \uc774\uc81c \uba87 \uac00\uc9c0 \uc608\ub97c \ub4e4\uc5b4 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud568\uc218\uc758 \ucf54\uc2dc\ucee8\ud2b8\uac00 \uc5b4\ub5bb\uac8c \ud30c\uc0dd\ub418\ub294\uc9c0 \uc815\ud655\ud788 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-de-la-cosecante-de-2x\"><\/span> \uc608 1: 2x\uc758 \ucf54\uc2dc\ucee8\ud2b8 \ud30c\uc0dd<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \uc774 \uc608\uc5d0\uc11c \uc6b0\ub9ac\ub294 2x\uc758 \ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218\uac00 \uc5bc\ub9c8\ub098 \ub418\ub294\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-44aef07389e7b7d69f4ecf9e46660838_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"130\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ucf54\uc2dc\ucee8\ud2b8 \uc778\uc218 \ud568\uc218\ub294 x\uc640 \ub2e4\ub974\ubbc0\ub85c \uccb4\uc778 \uaddc\uce59\uacfc \ud568\uaed8 \ucf54\uc2dc\ucee8\ud2b8 \ubbf8\ubd84 \uaddc\uce59\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-b15904d25f18713a0d713cda3ab2bfe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{u'\\cdot \\text{cos}(u)}{\\text{sen}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"435\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \uc774 \uc0bc\uac01 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \ucc3e\uc73c\ub824\uba74 \uc774\uc804 \uacf5\uc2dd\uc758 \uac12\uc744 \uac04\ub2e8\ud788 \ub300\uccb4\ud558\uba74 \ub429\ub2c8\ub2e4. \ucf54\uc0ac\uc778 \ubc0f \uc0ac\uc778 \uc778\uc218\uc5d0 2x\ub97c \ub123\uace0 u&#8217;\ub294 2x\uc758 \ub3c4\ud568\uc218, \uc989 2\uc5d0 \ud574\ub2f9\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-8607025c53ca3c1a2c5e05e908d61bc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{2\\cdot \\text{cos}(2x)}{\\text{sen}^2(2x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"446\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-de-la-cosecante-de-x-al-cuadrado\"><\/span> \uc608 2: x \uc81c\uacf1\uc758 \ucf54\uc2dc\ucee8\ud2b8 \ub3c4\ud568\uc218<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \uc774 \uc5f0\uc2b5\uc5d0\uc11c\ub294 x \uc81c\uacf1\uc758 \ucf54\uc2dc\ucee8\ud2b8 \ub3c4\ud568\uc218\uac00 \uc5bc\ub9c8\ub098 \ub418\ub294\uc9c0 \uc0b4\ud3b4\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-dc9de51c8f24850940b40de616428dd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"128\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub17c\ub9ac\uc801\uc73c\ub85c \uc774 \uc0bc\uac01 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 \ucf54\uc2dc\ucee8\ud2b8 \ub3c4\ud568\uc218 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud574\uacb0\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-b15904d25f18713a0d713cda3ab2bfe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{u'\\cdot \\text{cos}(u)}{\\text{sen}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"435\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> x \uc81c\uacf1\uc758 \ub3c4\ud568\uc218\ub294 2x\ub97c \uc81c\uacf5\ud558\ubbc0\ub85c x\uc758 \ucf54\uc2dc\ucee8\ud2b8\uc758 2\uc81c\uacf1 \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-0a6b69e1f9851904ec2fc68bffeedc64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{2x\\cdot \\text{cos}(x^2)}{\\text{sen}^2(x^2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"454\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-de-la-cosecante-al-cubo-de-una-funcion-exponencial\"><\/span> \uc608 3: \uc9c0\uc218 \ud568\uc218\uc758 \uc138\uc81c\uacf1 \ucf54\uc2dc\ucee8\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-8bd5c47e8cd53ab52d3d30f55f898490_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}^3(e^{5x})\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"142\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ud568\uc218\uc758 \uc778\uc218\uac00 \ubb34\uc5c7\uc774\ub4e0, \ud568\uc218\uc758 \ucf54\uc2dc\ucee8\ud2b8 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uaddc\uce59\uc740 \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-b15904d25f18713a0d713cda3ab2bfe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=-\\cfrac{u'\\cdot \\text{cos}(u)}{\\text{sen}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"435\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uadf8\ub7ec\ub098 \uc774 \uacbd\uc6b0\uc5d0\ub294 \ucf54\uc2dc\ucee8\ud2b8\uac00 3\uc73c\ub85c \uc99d\uac00\ud558\uace0 \ub354\uc6b1\uc774 \uc778\uc218\uc5d0 \uc9c0\uc218 \ud568\uc218\uac00 \uc788\uae30 \ub54c\ubb38\uc5d0 \ubcf5\ud569 \ud568\uc218\uac00 \uc788\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc804\uccb4 \ud568\uc218\ub97c \ucc28\ubcc4\ud654\ud558\ub824\uba74 \uccb4\uc778 \uaddc\uce59\uc744 \uc5ec\ub7ec \ubc88 \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-9ac2ce49dfcba1b7f27696dba0a2decb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle f'(x)&amp; = 3\\text{cosec}^2(e^{5x})\\cdot\\left(-\\frac{5e^{5x}\\cdot \\text{cos}(e^{5x})}{\\text{sen}^2(e^{5x})}\\right)\\\\[1.5ex]&amp;=-\\frac{-15\\text{cosec}^2(e^{5x})\\cdot e^{5x}\\cdot \\text{cos}(e^{5x})}{\\text{sen}^2(e^{5x})}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"106\" width=\"316\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-de-la-cosecante\"><\/span> \ucf54\uc2dc\ucee8\ud2b8 \ub3c4\ud568\uc218 \ubb38\uc81c \ud574\uacb0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ub2e4\uc74c \ucf54\uc2dc\ucee8\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-9929e2437b0ed56c3510e3e0e66745c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f(x)=\\text{cosec}(x^4-2x^2)\" 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-90abcf0539f30dc6fc72414bfc74510f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f(x)=\\text{cosec}(x^3+e^x-10)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"232\" 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-86a2ea6229cced9086f8baba7afd49dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }f(x)=\\text{cosec}\\bigl(\\ln(x^3+7x^2)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"232\" 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-45cdf124149223f4a3bec4984dc3ad3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f(x)=\\text{cosec}\\bigl(\\text{arccos}(x^7)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"217\" 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-45ae6ef998d8ab0c30309fe521b0bafc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f(x)=\\text{cosec}\\left(\\sqrt{9x^2-4x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"226\" 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>\ud574\uacb0\ucc45 \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-1fb207498fc67f62e6c30a0baecc9549_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f('x)=-\\cfrac{(4x^3-4x)\\cdot \\text{cos}(x^4-2x^2)}{\\text{sen}^2(x^4-2x^2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"303\" 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-d42a3db78890f44f3cac95685ab9362e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f('x)=-\\cfrac{(3x^2+e^x)\\cdot \\text{cos}(x^3+e^x-10)}{\\text{sen}^2(x^3+e^x-10)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"329\" 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-32dde68d2a11ef6a05d483b26f0a98ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\text{C) }f'(x)&amp; =-\\cfrac{\\cfrac{3x^2+14x}{x^3+7x^2}\\cdot \\text{cos}\\bigl(\\ln(x^3+7x^2)\\bigr)}{\\text{sen}^2\\bigl(\\ln(x^3+7x^2)\\bigr)}\\\\[1.5ex] &amp;= -\\cfrac{\\cfrac{3x+14}{x^2+7x}\\cdot \\text{cos}\\bigl(\\ln(x^3+7x^2)\\bigr)}{\\text{sen}^2\\bigl(\\ln(x^3+7x^2)\\bigr)}\\\\[1.5ex] &amp;= -\\cfrac{(3x+14)\\cdot \\text{cos}\\bigl(\\ln(x^3+7x^2)\\bigr)}{(x^2+7x)\\cdot \\text{sen}^2\\bigl(\\ln(x^3+7x^2)\\bigr)}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"222\" width=\"333\" style=\"vertical-align: 0px;\"><\/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-b2bea25dae467cefdcc1bd48e8d9bc88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\text{D) }f'(x)&amp; =-\\cfrac{-\\cfrac{7x^6}{\\sqrt{1-\\left(x^7\\right)^2}}\\cdot \\text{cos}\\bigl(\\text{arccos}(x^7)\\bigr)}{\\text{sen}^2\\bigl(\\text{arccos}(x^7)\\bigr)}\\\\[1.5ex] &amp; =-\\cfrac{(-7x^6)\\cdot \\text{cos}\\bigl(\\text{arccos}(x^7)\\bigr)}{\\left(\\sqrt{1-x^{14}}\\right)\\cdot \\text{sen}^2\\bigl(\\text{arccos}(x^7)\\bigr)}\\\\[1.5ex] &amp; =\\cfrac{7x^6\\cdot \\text{cos}\\bigl(\\text{arccos}(x^7)\\bigr)}{\\left(\\sqrt{1-x^{14}}\\right)\\cdot \\text{sen}^2\\bigl(\\text{arccos}(x^7)\\bigr)}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"240\" width=\"348\" style=\"vertical-align: 0px;\"><\/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-eb70e1d7b6f2ce2636934b235904861f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\text{E) }f'(x)&amp; =-\\cfrac{\\cfrac{18x-4}{2\\cdot\\sqrt{9x^2-4x}} \\cdot \\text{cos}\\left(\\sqrt{9x^2-4x}\\right)}{\\text{sen}^2\\left(\\sqrt{9x^2-4x}\\right)}\\\\[1.5ex] &amp;=-\\cfrac{(18x-4)\\cdot  \\text{cos}\\left(\\sqrt{9x^2-4x}\\right)}{2\\sqrt{9x^2-4x}\\cdot \\text{sen}^2\\left(\\sqrt{9x^2-4x}\\right)} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"165\" width=\"352\" 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-de-la-cosecante\"><\/span> \ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd \uc99d\uba85<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ub2e4\uc74c\uc73c\ub85c \ucf54\uc2dc\ucee8\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4. \ub2e4\ub978 \uc2dc\uc5f0\uacfc \ub2ec\ub9ac \uc774 \uacbd\uc6b0 \ub3c4\ud568\uc218\ub97c \uc815\uc758\ud558\ub294 \uadf9\ud55c\uc744 \uc0ac\uc6a9\ud558\uc9c0 \uc54a\uace0 \ucf54\uc2dc\ucee8\ud2b8\uc758 \uc218\ud559\uc801 \uc815\uc758\ubd80\ud130 \uc2dc\uc791\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \ub300\uc218\ud559\uc801\uc73c\ub85c \ucf54\uc2dc\ucee8\ud2b8 \uc0bc\uac01 \ud568\uc218\ub294 \uc0ac\uc778\uc758 \uacf1\uc148\uc758 \uc5ed\uc218\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-6ac8ff987dcebfb971915b090d8dc455_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosec}(x)=\\cfrac{1}{\\text{sen}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"196\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \uc6b0\ub9ac\ub294 \ubaab \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ucf54\uc2dc\ucee8\ud2b8\uc758 \ubbf8\ubd84\uc744 \ucde8\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-956e802336ed97943a839dbc059a168a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\cfrac{0\\cdot \\text{sen}(x)-1\\cdot \\text{cos}(x)}{\\text{sen}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"227\" 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-d26ab733704d285da0ec63f0901330b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\cfrac{-\\text{cos}(x)}{\\text{sen}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"135\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ubcf4\uc2dc\ub2e4\uc2dc\ud53c, \ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd\uc5d0 \ub3c4\ub2ec\ud558\ub294 \uac83\uc740 \ub098\ub217\uc148\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uaddc\uce59\uc744 \uc801\uc6a9\ud568\uc73c\ub85c\uc368\ub9cc \uac00\ub2a5\ud569\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \ubaab\uc758 \ub3c4\ud568\uc218\ub294 \uc774\ubbf8 \uc99d\uba85\ub418\uc5c8\uc73c\ubbc0\ub85c(\ub2e4\uc74c \ub9c1\ud06c\uc5d0\uc11c \ubcfc \uc218 \uc788\uc74c) \ucf54\uc2dc\ucee8\ud2b8 \ub3c4\ud568\uc218 \uaddc\uce59\ub3c4 \uc99d\uba85\ub429\ub2c8\ub2e4.<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uc870:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u1102\u1161\u1102\u116e\u11ba\u1109\u1166\u11b7-\u1106\u1169\u11aa\u110b\u1174-\u1111\u1161\u1109\u1162\u11bc\u1106\u116e\u11af\/\">\ubaab\uc758 \ub3c4\ud568\uc218 \uc99d\uba85<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \uae00\uc5d0\uc11c\ub294 \ud568\uc218(\uacf5\uc2dd)\uc758 \ucf54\uc2dc\ucee8\ud2b8\ub97c \ub3c4\ucd9c\ud558\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud569\ub2c8\ub2e4. \ub610\ud55c \ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud574 \ub2e8\uacc4\ubcc4\ub85c \ud574\uacb0\ub418\ub294 \uc5f0\uc2b5 \ubb38\uc81c\ub3c4 \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc774\ub7ec\ud55c \uc720\ud615\uc758 \uc0bc\uac01\ud568\uc218 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd\uc758 \uc2dc\uc5f0\uc744 \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ucf54\uc2dc\ucee8\ud2b8 \ud30c\uc0dd \uacf5\uc2dd x\uc758 \ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218\ub294 x\uc758 \ucf54\uc0ac\uc778\uc744 x\uc758 \uc81c\uacf1 \uc0ac\uc778\uc73c\ub85c \ub098\ub208 \ubaab\uc744 \ube7c\ub294 \uac83\uacfc \uac19\uc2b5\ub2c8\ub2e4. \uc0bc\uac01\ubc95 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec x\uc758 \ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218\ub97c x\uc758 \ucf54\uc2dc\ucee8\ud2b8 \uacf1\ud558\uae30 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%ec%bd%94%ec%8b%9c%ec%bb%a8%ed%8a%b8%ec%97%90%ec%84%9c-%ec%9c%a0%eb%9e%98\/\"> <span class=\"screen-reader-text\">\ucf54\uc2dc\ucee8\ud2b8\uc758 \ub3c4\ud568\uc218<\/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-394","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This site is optimized 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