{"id":390,"date":"2023-07-03T13:35:39","date_gmt":"2023-07-03T13:35:39","guid":{"rendered":"https:\/\/mathority.org\/ko\/%ec%8c%8d%ea%b3%a1%ec%84%a0-%ed%83%84%ec%a0%a0%ed%8a%b8%ec%9d%98-%ed%8c%8c%ec%83%9d%eb%ac%bc\/"},"modified":"2023-07-03T13:35:39","modified_gmt":"2023-07-03T13:35:39","slug":"%ec%8c%8d%ea%b3%a1%ec%84%a0-%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%8c%8d%ea%b3%a1%ec%84%a0-%ed%83%84%ec%a0%a0%ed%8a%b8%ec%9d%98-%ed%8c%8c%ec%83%9d%eb%ac%bc\/","title":{"rendered":"\uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84"},"content":{"rendered":"<p>\uc5ec\uae30\uc5d0\uc11c \ud568\uc218\uc758 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84\uc744 \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ucd94\uac00\uc801\uc73c\ub85c, \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uba87 \uac00\uc9c0 \ud574\uacb0\ub41c \uc608\ub97c \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc30d\uace1\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \ubcf4\uc5ec\ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-la-tangente-hiperbolica\"><\/span> \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>x\uc758 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\ub294 1\uc744 x\uc758 \uc30d\uace1\uc120 \ucf54\uc0ac\uc778\uc758 \uc81c\uacf1\uc73c\ub85c \ub098\ub208 \uac83\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/strong> x\uc758 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\ub294 x\uc758 \uc30d\uace1\uc120 \uc2dc\ucee8\ud2b8\uc758 \uc81c\uacf1\uacfc 1\uc5d0\uc11c x\uc758 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \uc81c\uacf1\uc744 \ube80 \uac83\uacfc \ub3d9\uc77c\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-9a7c392afdb3bbf504e167e15fb2fee6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{tanh}(x)\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\color{black}\\\\ f'(x)=\\cfrac{1}{\\text{cosh}^2(x)}=\\text{sech}^2(x)=1-\\text{tanh}^2(x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"338\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ubc18\uba74\uc5d0 \ud568\uc218 \uc778\uc218\uc5d0 x \uc774\uc678\uc758 \ud568\uc218\uac00 \uc788\ub294 \uacbd\uc6b0 \uccb4\uc778 \uaddc\uce59\uc744 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uc138 \uac00\uc9c0 \uacf5\uc2dd\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-b5ee01c6675067b20f71ea8ac4efcfe5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{tanh}(u)\\\\[1.5ex]\\color{orange}\\bm{\\downarrow}\\color{black}\\\\ f'(x)=\\cfrac{u'}{\\text{cosh}^2(u)}=\\text{sech}^2(u)\\cdot u'=\\left(1-\\text{tanh}^2(u)\\right)\\cdot u'\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"409\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uc774\ub294 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\ub97c \ub3c4\ucd9c\ud560 \ub54c\ub9c8\ub2e4 \uc138 \uac00\uc9c0 \uacf5\uc2dd\uc744 \ubaa8\ub450 \uc0ac\uc6a9\ud574\uc57c \ud55c\ub2e4\ub294 \uc758\ubbf8\uac00 \uc544\ub2c8\ub77c, \uadf8 \uc911 \uc5b4\ub290 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud574\ub3c4 \uc774\ub97c \ub3c4\ucd9c\ud560 \uc218 \uc788\ub2e4\ub294 \uc758\ubbf8\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8 \uc778\uc218\uc758 \uae30\ub2a5\uc5d0 \ub530\ub77c \ud558\ub098\uc758 \uacf5\uc2dd \ub610\ub294 \ub2e4\ub978 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\ub294 \uac83\uc774 \ub354 \uc88b\uc2b5\ub2c8\ub2e4. \ub2e4\uc74c\uc740 \ud568\uc218\uc758 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uac00 \uc5b4\ub5bb\uac8c \ud30c\uc0dd\ub418\ub294\uc9c0 \ud655\uc778\ud560 \uc218 \uc788\ub294 \uba87 \uac00\uc9c0 \uc608\uc785\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-de-la-tangente-hyperbolique.webp\" alt=\"\uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ud30c\uc0dd\ubb3c\" class=\"wp-image-2072\" width=\"420\" height=\"366\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\ub294 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uc640 \uac70\uc758 \ub3d9\uc77c\ud558\uc9c0\ub9cc \uc644\uc804\ud788 \ub2e4\ub974\uac8c \ub9cc\ub4dc\ub294 \uc791\uc740 \uc138\ubd80 \uc0ac\ud56d\uc774 \uc788\uc2b5\ub2c8\ub2e4. \ub2e4\uc74c \ub9c1\ud06c\uc5d0\uc11c \ucc28\uc774\uc810\uc774 \ubb34\uc5c7\uc778\uc9c0 \ud655\uc778\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uace0:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u1110\u1161\u11ab\u110c\u1166\u11ab\u1110\u1173\u110b\u1174-\u1111\u1161\u1109\u1162\u11bc\u1106\u116e\u11af\/\">\ud0c4\uc820\ud2b8 \ubbf8\ubd84 \uacf5\uc2dd<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-de-la-tangente-hiperbolica\"><\/span> \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218 \uc608<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd\uc774 \ubb34\uc5c7\uc778\uc9c0 \ud655\uc778\ud55c \ud6c4, \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\ub97c \uc720\ub3c4\ud558\ub294 \ubc29\ubc95\uc744 \uc644\uc804\ud788 \uc774\ud574\ud560 \uc218 \uc788\ub3c4\ub85d \uc774\ub7ec\ud55c \uc720\ud615\uc758 \uc0bc\uac01 \ud568\uc218 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uba87 \uac00\uc9c0 \ud574\uacb0\ub41c \uc608\uac00 \uc5ec\uae30\uc5d0 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-de-la-tangente-hiperbolica-de-2x\"><\/span> \uc608 1: 2x \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \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-79ac7ea68ec9b155da28c4fbcaa0ee15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tanh}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc774 \uc608\uc5d0\uc11c \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\ub97c \ub3c4\ucd9c\ud558\uae30 \uc704\ud574 \uc6b0\ub9ac\ub294 \uc30d\uace1\uc120 \ucf54\uc0ac\uc778 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud560 \uac83\uc785\ub2c8\ub2e4. \ubb3c\ub860 \uc6d0\ud558\ub294 \uac83\uc744 \uc0ac\uc6a9\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-7db9abcf1f642aef23b75d912cde9280_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tanh}(u)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\text{cosh}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"407\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p> \uc6b0\ub9ac\ub294 2x\uc758 \ub3c4\ud568\uc218\uac00 2\ub77c\ub294 \uac83\uc744 \uc54c\uace0 \uc788\uc73c\ubbc0\ub85c \uc804\uccb4 \ud568\uc218\uc758 \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-ece3b50dd3b4705574fda3f7cda6e66a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tanh}(2x)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2}{\\text{cosh}^2(2x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"425\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-de-la-tangente-hiperbolica-de-x-al-cuadrado\"><\/span> \uc608 2: x \uc81c\uacf1\uc758 \uc30d\uace1\uc120 \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-ff96c9470dca3d696a7002d26563a63e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tanh}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"124\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ud568\uc218\uc758 \uc30d\uace1\ud0c4\uc820\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-7db9abcf1f642aef23b75d912cde9280_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tanh}(u)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\text{cosh}^2(u)}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"407\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p> \ud55c\ud3b8\uc73c\ub85c \uc6b0\ub9ac\ub294 \ud568\uc218\ub97c 2x\ub97c \uc81c\uacf5\ud558\ub294 \uc778\uc218 x <sup>2<\/sup> \uc640 \ucc28\ubcc4\ud654\ud55c \ub2e4\uc74c \ub2e4\uc74c \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc804\uccb4 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \uad6c\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-6d16a26c06c4b3843facf3f0a980a61d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tanh}(x^2)\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{2x}{\\text{cosh}^2(x^2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"421\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-de-la-tangente-hiperbolica-al-cubo\"><\/span> \uc608\uc81c 3: \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8 \uc138\uc81c\uacf1\uc758 \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-e766da71a69fd53df69de8305a592844_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tanh}^3(7x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"141\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc774 \uacbd\uc6b0, \uc6b0\ub9ac\ub294 \ub610\ud55c \uac70\ub4ed\uc81c\uacf1\ub418\ub294 \ud568\uc218\uc758 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\ub97c \uc720\ub3c4\ud574\uc57c \ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc6b0\ub9ac\ub294 \uc7a0\uc7ac\uc801\uc778 \ud568\uc218\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd, \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uaddc\uce59 \ubc0f \uccb4\uc778 \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-8a7e6b023f634820c69181cfa8d0a16b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=3\\text{tanh}^2(7x^2)\\cdot \\cfrac{14x}{\\text{cosh}^2(7x^2)}}=\\cfrac{42x\\cdot \\text{tanh}^2(7x^2)}{\\text{cosh}^2(7x^2)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"402\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-derivada-de-la-tangente\"><\/span> \ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uc99d\uba85<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc774\ubc88 \uc139\uc158\uc5d0\uc11c\ub294 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \ubcf4\uc5ec\ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \uc774\ub97c \uc704\ud574 \uc138 \uac00\uc9c0 \uc30d\uace1\uc120 \uc0bc\uac01\ube44\ub97c \uc5f0\uacb0\ud558\ub294 \uc0bc\uac01 \ud56d\ub4f1\uc2dd\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-12f286528bc0635705aadbe510b6ceb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tanh}(x)=\\cfrac{\\text{senh}(x)}{\\text{cosh}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"144\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uace0:<\/strong> \uc99d\uba85\uc744 \uc774\ud574\ud558\ub824\uba74 <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u110a\u1161\u11bc\u1100\u1169\u11a8\u1109\u1161\u110b\u1175\u11ab-\u1103\u1169\u1112\u1161\u11b7\u1109\u116e\/\">\uc30d\uace1\uc0ac\uc778\uc758 \ub3c4\ud568\uc218\uac00<\/a><\/span> \ubb34\uc5c7\uc778\uc9c0, <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u110a\u1161\u11bc\u1100\u1169\u11a8\u1109\u1165\u11ab-\u110f\u1169\u1109\u1161\u110b\u1175\u11ab-\u1111\u1161\u1109\u1162\u11bc-\u1109\u1161\u11bc\u1111\u116e\u11b7\/\">\uc30d\uace1\uc120 \ucf54\uc0ac\uc778\uc758 \ub3c4\ud568\uc218\uac00<\/a><\/span> \ubb34\uc5c7\uc778\uc9c0 \uc54c\uc544\uc57c \ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \uacc4\uc18d\ud558\uae30 \uc804\uc5d0 \ub9c1\ud06c\ub41c \ud398\uc774\uc9c0\ub97c \ubc29\ubb38\ud558\ub294 \uac83\uc774 \uc88b\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \uc774\uc81c \ubaab\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \uc801\uc6a9\ud574 \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-0b01359155f318f95df8e21e428d2026_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\left(\\text{tanh}(x)\\right)'=\\left(\\frac{\\text{senh}(x)}{\\text{cosh}(x)}\\right)'\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"193\" 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-f6f85187679a1b95d64d3afdb78efd4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tanh}'(x)=\\cfrac{\\text{cosh}(x)\\cdot \\text{cosh}(x)-\\text{senh}(x)\\text{senh}(x) }{\\text{cosh}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"356\" style=\"vertical-align: -19px;\"><\/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-48dd21086a84d52131322f0aa9086a4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tanh}'(x)=\\cfrac{\\text{cosh}^2(x)-\\text{senh}^2(x)}{\\text{cosh}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"243\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p> \ub2e4\uc74c \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \ubd84\uc218\uc758 \ubd84\uc790 \ud45c\ud604\uc744 \uc904\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-4317a445a90e4d139b47db7cf4a49a1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cosh}^2(x)-\\text{senh}^2(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"185\" 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-d7acd0e926ab13e13a82d0bbed6f20fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tanh}'(x)=\\cfrac{1}{\\text{cosh}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"155\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p> \ubcf4\uc2dc\ub2e4\uc2dc\ud53c, \uc774\uc804 \ud3c9\ub4f1\uc740 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uccab \ubc88\uc9f8 \uacf5\uc2dd\uc5d0 \ud574\ub2f9\ud569\ub2c8\ub2e4. \ub9c8\ucc2c\uac00\uc9c0\ub85c \uc30d\uace1\uc120 \uc2dc\ucee8\ud2b8\ub294 \uc30d\uace1\uc120 \ucf54\uc0ac\uc778\uc758 \uacf1\uc148\uc758 \uc5ed\uc774\ubbc0\ub85c \ub450 \ubc88\uc9f8 \uacf5\uc2dd\ub3c4 \ub3c4\ucd9c\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-efd858fd9bbcc28bbba771ddfe60479d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tanh}'(x)=\\text{sech}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub9c8\uc9c0\ub9c9\uc73c\ub85c, \uc774\uc804 \ub2e8\uacc4\uc758 \ubd84\uc218\ub97c \ubd84\uc218\uc758 \ube84\uc148\uc73c\ub85c \ubcc0\ud658\ud558\uc5ec \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8 \ub3c4\ud568\uc218\uc758 \uc138 \ubc88\uc9f8 \uaddc\uce59\uc5d0 \ub3c4\ub2ec\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-258c135ebd5bf9f28981900d19ca20e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}'(x)=\\cfrac{\\text{cosh}^2(x)-\\text{senh}^2(x)}{\\text{cosh}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"234\" style=\"vertical-align: -19px;\"><\/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-c8316a3ad4867e7135dfae9a7f49506e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tanh}'(x)=\\cfrac{\\text{cosh}^2(x)}{\\text{cosh}^2(x)}-\\cfrac{\\text{senh}^2(x)}{\\text{cosh}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"245\" style=\"vertical-align: -19px;\"><\/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-acc11824e13677fc21ae1f0e9dd24733_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tanh}'(x)=1-\\text{tanh}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"184\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc5ec\uae30\uc5d0\uc11c \ud568\uc218\uc758 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84\uc744 \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ucd94\uac00\uc801\uc73c\ub85c, \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uba87 \uac00\uc9c0 \ud574\uacb0\ub41c \uc608\ub97c \ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc30d\uace1\ud0c4\uc820\ud2b8\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \ubcf4\uc5ec\ub4dc\ub9ac\uaca0\uc2b5\ub2c8\ub2e4. \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd x\uc758 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\ub294 1\uc744 x\uc758 \uc30d\uace1\uc120 \ucf54\uc0ac\uc778\uc758 \uc81c\uacf1\uc73c\ub85c \ub098\ub208 \uac83\uacfc \uac19\uc2b5\ub2c8\ub2e4. x\uc758 \ud0c4\uc820\ud2b8\uc758 \ub3c4\ud568\uc218\ub294 x\uc758 \uc30d\uace1\uc120 \uc2dc\ucee8\ud2b8\uc758 \uc81c\uacf1\uacfc 1\uc5d0\uc11c x\uc758 \uc30d\uace1\uc120 \ud0c4\uc820\ud2b8\uc758 \uc81c\uacf1\uc744 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%ec%8c%8d%ea%b3%a1%ec%84%a0-%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\">\uc30d\uace1\uc120 \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-390","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This site is optimized 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