{"id":40,"date":"2023-09-17T11:00:07","date_gmt":"2023-09-17T11:00:07","guid":{"rendered":"https:\/\/mathority.org\/ko\/%ed%8c%8c%ec%83%9d%eb%90%9c-%ea%b7%9c%ec%b9%99-%ec%b2%b4%ec%9d%b8\/"},"modified":"2023-09-17T11:00:07","modified_gmt":"2023-09-17T11:00:07","slug":"%ed%8c%8c%ec%83%9d%eb%90%9c-%ea%b7%9c%ec%b9%99-%ec%b2%b4%ec%9d%b8","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%ed%8c%8c%ec%83%9d%eb%90%9c-%ea%b7%9c%ec%b9%99-%ec%b2%b4%ec%9d%b8\/","title":{"rendered":"\uc5f0\uc1c4\ubc95\uce59(\ubbf8\ubd84)"},"content":{"rendered":"<p>\uc5ec\uae30\uc11c\ub294 \uc5f0\uc1c4\ubc95\uce59\uc774 \ubb34\uc5c7\uc778\uc9c0, \uc5f0\uc1c4\ubc95\uce59\uc744 \uc774\uc6a9\ud558\uc5ec \ud568\uc218\ub97c \ub3c4\ucd9c\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubd05\ub2c8\ub2e4. \ub610\ud55c \uc5f0\uc1c4\ubc95\uce59\uc744 \uc801\uc6a9\ud55c \ub3c4\ud568\uc218 \ud480\uc774\uc758 \uc5ec\ub7ec \uc608\ub97c \ubcfc \uc218 \uc788\uc73c\uba70, \uc5f0\uc1c4\ubc95\uce59\uc744 \uc801\uc6a9\ud55c \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \ub2e8\uacc4\ubcc4 \ud480\uc774 \uc5f0\uc2b5\ub3c4 \ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regla-de-la-cadena\"><\/span> \uccb4\uc778 \uaddc\uce59\uc774\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\uccb4\uc778 \uaddc\uce59\uc740 \ubcf5\ud569 \ud568\uc218\ub97c \uc720\ub3c4\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\ub294 \uacf5\uc2dd\uc785\ub2c8\ub2e4.<\/strong> \uc5f0\uc1c4 \ubc95\uce59\uc5d0 \ub530\ub974\uba74 \ubcf5\ud569 \ud568\uc218 <em>f(g(x))<\/em> \uc758 \ub3c4\ud568\uc218\ub294 \ub3c4\ud568\uc218 <em>f'(g(x))<\/em> \uc5d0 \ub3c4\ud568\uc218 <em>g'(x)<\/em> \ub97c \uacf1\ud55c \uac12\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\/regle-de-la-chaine.webp\" alt=\"\uc5f0\uc1c4 \ubc95\uce59\" class=\"wp-image-2207\" width=\"269\" height=\"269\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uc870:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u1100\u1175\u1102\u1173\u11bc\u110b\u1174-\u1100\u116e\u1109\u1165\u11bc-\u1107\u1169\u11a8\u1112\u1161\u11b8-\u1100\u1175\u1102\u1173\u11bc\/\">\ubcf5\ud569 \ud568\uc218<\/a><\/span><\/p>\n<p> \ube44\uacf5\uc2dd\uc801\uc73c\ub85c \uccb4\uc778 \uaddc\uce59\uc740 <em>\ud568\uc218\ub97c \ubbf8\ubd84\ud55c \ub2e4\uc74c \uadf8 \uc548\uc5d0 \uc788\ub294 \ub0b4\uc6a9\uc744 \uacf1\ud558\ub294<\/em> \uac83\uc774\ub77c\uace0 \ud754\ud788 \ub9d0\ud569\ub2c8\ub2e4.<\/p>\n<p> \uc5f0\uc1c4\ubc95\uce59 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uba74 \ubcf5\ud569 \ud568\uc218\ub97c \ud6e8\uc52c \ub354 \uc27d\uac8c \ubbf8\ubd84\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc65c\ub0d0\ud558\uba74 \ub3c4\ud568\uc218 \uc815\uc758\uc758 \uadf9\ud55c\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud568\uc218\uc758 \uad6c\uc131\uc744 \ubbf8\ubd84\ud558\ub824\uba74 \ub9ce\uc740 \uacc4\uc0b0\uc744 \ud574\uc57c \ud558\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4.<\/p>\n<p> \ubc18\uba74\uc5d0, \uc774 \uaddc\uce59\uc740 \ubcf5\ud569 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \ucc3e\ub294 \ub370\ub9cc \uc0ac\uc6a9\ub418\uba70 \uc5b4\ub5a4 \uc720\ud615\uc758 \ud568\uc218\ub098 \ud568\uc218\ub97c \uc0ac\uc6a9\ud55c \uc5f0\uc0b0\uc5d0\ub294 \uc0ac\uc6a9\ub418\uc9c0 \uc54a\ub294\ub2e4\ub294 \uc810\uc744 \uace0\ub824\ud574\uc57c \ud569\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \ub9e4\uc6b0 \ud754\ud55c \uc2e4\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uae30\ub2a5\uc131 \uc81c\ud488\uc5d0 \uccb4\uc778 \uaddc\uce59\uc744 \uc798\ubabb \uc801\uc6a9\ud558\ub294 \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-de22604d9af306981b71d39bd190df75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ln(x)\\cdot x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"68\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u274c<\/p>\n<p> \uccb4\uc778 \uaddc\uce59\uc740 <strong>\ub2e4\ub978 \ud568\uc218 \uc548\uc5d0 \ud558\ub098\uc758 \ud568\uc218\uac00 \uc788\uc744 \ub54c\ub9cc<\/strong> \uc0ac\uc6a9\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-ea93fb0bbc6f1ac5c2e26f2c5730627f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ln(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"45\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u2705 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-derivadas-con-la-regla-de-la-cadena\"><\/span> \uc5f0\uc1c4\ubc95\uce59\uc744 \uc801\uc6a9\ud55c \ub3c4\ud568\uc218\uc758 \uc608<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc5f0\uc1c4\ubc95\uce59\uc758 \uc815\uc758\uac00 \uc8fc\uc5b4\uc9c0\uba74, \uc5f0\uc1c4\ubc95\uce59\uc744 \uc608\ub85c \ub4e4\uc5b4 \uc5ec\ub7ec \ud568\uc218\ub97c \ub3c4\ucd9c\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc608\uc81c\uc5d0\uc11c \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud568\uc218\uac00 \uc5b4\ub5bb\uac8c \ud30c\uc0dd\ub418\ub294\uc9c0 \uc774\ud574\ud558\uc9c0 \ubabb\ud558\ub294 \uacbd\uc6b0 \ub313\uae00\ub85c \uc9c8\ubb38\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<h3 class=\"wp-block-heading\"> \uc2e4\uc2dc\uc608 1<\/h3>\n<p> \uc774 \uc608\uc5d0\uc11c\ub294 \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec x \uc81c\uacf1\uc758 \uc790\uc5f0 \ub85c\uadf8\ub97c \uc720\ub3c4\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-056e8e809ecf361f98a9ab4a6509e1a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"104\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc790\uc5f0 \ub85c\uadf8\uc758 \ub3c4\ud568\uc218\ub294 \uc778\uc218\uc758 1\ubc30\uc640 \uac19\uc73c\ubbc0\ub85c \ub3c4\ud568\uc218\ub294<\/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-4537be7e40864f78dd4bf5a5cdfb53ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'\\bigl(g(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"62\" style=\"vertical-align: -7px;\"><\/p>\n<p> BE:<\/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-82f88b45158f1890a0e60b2496a1898e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{u}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"331\" 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-b66cdf74d9a89d4259495d799042e18c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=\\ln(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'\\bigl(g(x)\\bigr)=\\cfrac{1}{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"396\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \ubc18\uba74, x\uc758 2\uc2b9 \ub3c4\ud568\uc218\ub294 2x\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-0f0a7b2d096f09aacc349fe800f5ae6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=x^2\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} g'(x)=2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"313\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uccb4\uc778 \uaddc\uce59\uc744 \uc801\uc6a9\ud558\uc5ec \uc804\uccb4 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. \ubcf5\ud569 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 \uc6b0\ub9ac\uac00 \ubc29\uae08 \ucc3e\uc740 \ub450 \ub3c4\ud568\uc218\uc758 \uacf1\uc774 \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-33416ac7184def2290a0a84cbd55a9b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black}z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"450\" 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-6ad6b9a4a227664b616ffeef61781e54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{1}{x^2}\\cdot 2x = \\cfrac{2x}{x^2}=\\cfrac{2}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"458\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \uc2e4\uc2dc\uc608 2<\/h3>\n<p> \uc774 \ub450 \ubc88\uc9f8 \uc608\uc5d0\uc11c\ub294 \ub2e4\ud56d\uc2dd\uc744 \uae30\ubc18\uc73c\ub85c \uc7a0\uc7ac\uc801\uc778 \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-1fd64daeb147f4af91e5eb8518621081_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\left(3x^2+4x-5\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"179\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \uac70\ub4ed\uc81c\uacf1\uc744 \ub3c4\ucd9c\ud558\ub824\uba74 \uc6d0\ub798 \uc9c0\uc218\ub97c \uadf8 \uc55e\uc5d0 \ubc30\uce58\ud558\uace0 \uc9c0\uc218\uc5d0\uc11c \ud55c \ub2e8\uc704\ub97c \ube7c\uc57c \ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \uccb4\uc778 \uaddc\uce59\uc744 \uc801\uc6a9\ud558\uc9c0 \uc54a\uc740 \uc7a0\uc7ac\uc801 \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-9d0e7fc8a11cbd2103465a57128a9db4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=\\left(3x^2+4x-5\\right)^3 \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'\\bigl(g(x)\\bigr)=3\\left(3x^2+4x-5\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"582\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \uc774\uc81c \uc6b0\ub9ac\ub294 \uad04\ud638 \uc548\uc758 \ub0b4\uc6a9\uc744 \ucd94\ub860\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-dad3522b805cdb0c38e771bc6e630f50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=3x^2+4x-5\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} g'(x)=6x+4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"424\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc804\uccb4 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \uad6c\ud569\ub2c8\ub2e4. \uc774\ub294 \uc774\uc804\uc5d0 \uacc4\uc0b0\ub41c \ub450 \ub3c4\ud568\uc218\uc758 \uacf1\uc774 \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-33416ac7184def2290a0a84cbd55a9b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black}z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"450\" 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-4d4d80ad509263a9791efd441621d183_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\left(3x^2+4x-5\\right)^3 \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=3\\left(3x^2+4x-5\\right)^2\\cdot (6x+4)\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"582\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \uc2e4\uc2dc\uc608 3<\/h3>\n<p> \uc774 \uacbd\uc6b0 x 3\uc2b9 + 7x\uc758 \uc0ac\uc778 \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-42b994d7e38385bd61050cc50428beeb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x^3+7x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"154\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc2e4\uc81c\ub85c, \uc0ac\uc778 \ud568\uc218 \ub0b4\ubd80\uc5d0 x <sup>3<\/sup> +7x \ud568\uc218\uac00 \uc788\uae30 \ub54c\ubb38\uc5d0 \uc774\ub294 \ud568\uc218\uc758 \ud569\uc131\uc774\ubbc0\ub85c \uc5f0\uc1c4 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud569\uc131 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \ud55c\ud3b8\uc73c\ub85c \uc0ac\uc778\uc758 \ub3c4\ud568\uc218\ub294 \ucf54\uc0ac\uc778\uc774\ubbc0\ub85c \uc678\ubd80 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 \uc0ac\uc778\uacfc \ub3d9\uc77c\ud55c \uc778\uc218\ub97c \uac16\ub294 \ucf54\uc0ac\uc778\uc774 \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-e4b784343e9e483f8f3e2bb0cd465335_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=\\text{sen}(x^3+7x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'\\bigl(g(x)\\bigr)=\\text{cos}(x^3+7x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"522\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \ubc18\uba74\uc5d0 x <sup>3<\/sup> +7x\uc758 \ubbf8\ubd84\uc740 3x <sup>2<\/sup> +7\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-395ee5862baf231657c05660e22bbd42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=x^3+7x\\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} g'(x)=3x^2+7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"392\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \ubcf5\ud569 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 \ub450 \ub3c4\ud568\uc218\uc758 \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-33416ac7184def2290a0a84cbd55a9b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black}z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"450\" 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-5b44098b23fd39005532d5f42593f585_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x^3+7x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(x^3+7x)\\cdot (3x^2+7)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"555\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-derivadas-con-la-regla-de-la-cadena\"><\/span> \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud30c\uc0dd \uc0c1\ud488\uc5d0 \ub300\ud55c \uc5f0\uc2b5 \ubb38\uc81c \ud574\uacb0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \uc5f0\uc2b5 1<\/h3>\n<p> \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \ubcf5\ud569 \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-b84ea805fb8c56d493151d0f9b72b628_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\left(5x^2-6x\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"149\" 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-left\"> \uc678\ubd80 \ud568\uc218\ub294 \uc7a0\uc7ac\uc801\uc778 \ud568\uc218\uc774\ubbc0\ub85c \ud574\ub2f9 \ub3c4\ud568\uc218\ub97c \uacc4\uc0b0\ud558\ub824\uba74 \ub2e4\uc74c \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-82e232ad4bd7b0f1b4b93625bd8dcf2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=a\\bigl(g(x)\\bigr)^n \\ \\longrightarrow \\ f'\\bigl(g(x)\\bigr)=n\\cdot a\\bigl(g(x)\\bigr)^{n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"397\" 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-058311927ac43c45c1de7d799d802310_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=\\left(5x^2-6x\\right)^3\\ \\longrightarrow \\ f'\\bigl(g(x)\\bigr)= 3\\left(5x^2-6x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"415\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub7f0 \ub2e4\uc74c \ub0b4\ubd80 \ud568\uc218\uc758 \ubbf8\ubd84\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4. \uc774\ub294 \uac70\ub4ed\uc81c\uacf1\uc758 \ube84\uc148\uc774\ubbc0\ub85c \ud30c\uc0dd\ubb3c\uc744 \uacc4\uc0b0\ud558\ub824\uba74 \uac01 \ud56d\uc5d0 \ub2e4\uc74c \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-eda0577ba91756ce6852219b0b1bf4c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=ax^n \\ \\longrightarrow \\ f'(x)=n\\cdot ax^{n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"267\" 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-b4b1fc6c2a94bb4e9833be8140196f4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=5x^2-6x\\ \\longrightarrow\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c9d99adf81a8861bbd2dee3b8a7fcee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g'(x)=2\\cdot 5x^1-1 \\cdot 6 x^0 =10x-6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"262\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc989, \ubcf5\ud569 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 \ubc1c\uacac\ub41c \ub450 \ub3c4\ud568\uc218\uc758 \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-8abee37ef3d49cc56596417a2e31618f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" 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-f3e6ffbcb906ced150b00cf463b56434_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\left(5x^2-6x\\right)^3 \\ \\longrightarrow \\ \\bm{f'(x)= 3\\left(5x^2-6x\\right)^2\\cdot (10x-6)}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"450\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 2<\/h3>\n<p> \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \ubcf5\ud569 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \ud489\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-c6ecb2411e5245a58c614748280b4568_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-3\\left(5x^5+9x^3\\right)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"182\" 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-left\"> \uba3c\uc800, \uc678\ubd80 \ud568\uc218\uc758 \ubbf8\ubd84\uc744 \ucc3e\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-2e5d21c7196c7ebaeaf6ca11762ca251_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ f'\\bigl(g(x)\\bigr) &amp; =4 \\cdot ( -3) \\left(5x^5+9x^3\\right)^3 \\\\[1.5ex]&amp;=-12\\left(5x^5+9x^3\\right)^3 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"357\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ub0b4\ubd80 \ud568\uc218\uc758 \ubbf8\ubd84\uc744 \ud574\uacb0\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-fe839a2f2eb9412f63700dab70bf18f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=5x^5+9x^3\\ \\longrightarrow \\ g'(x)=25x^4+27x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"335\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \uc804\uccb4 \ud568\uc218\uc758 \ubbf8\ubd84\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-8abee37ef3d49cc56596417a2e31618f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" 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-0fe8c7e374a30ed8bcf0a83cea68d6bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-3\\left(5x^5+9x^3\\right)^4 \\ \\longrightarrow \\ \\bm{f'(x)=-12\\left(5x^5+9x^3\\right)^3\\cdot \\left(25x^4+27x^2\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"549\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 3<\/h3>\n<p> \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \ud568\uc218 \uad6c\uc131\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-555bcc9c8b61b47c73e2014749954305_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^{2x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"87\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\uc194\ub8e8\uc158 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc774\ub294 \uc9c0\uc218 \ud568\uc218\uc774\ubbc0\ub85c \ub3c4\ud568\uc218\ub97c \uacc4\uc0b0\ud558\ub824\uba74 \ub2e4\uc74c \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-f52dc9e8ea936ea4de492bb3be18ebb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^{x} \\ \\longrightarrow \\ f'(x)=e^{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"204\" 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-02e55bcf16e8288e1729ed5a4d06ed9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=e^{2x^3} \\ \\longrightarrow \\ f'\\bigl(g(x)\\bigr)= e^{2x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"281\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub610\ud55c \ud568\uc218\ub97c \ud568\uc218\uc758 \uc9c0\uc218\uc640 \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-b17b1c7b9b871d8404166d92d5cb0974_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=2x^3 \\ \\longrightarrow \\ g'(x)=6x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"221\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub9ac\uace0 \uc6b0\ub9ac\ub294 \uc815\uc218 \ubcf5\ud569 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \ucc3e\uae30 \uc704\ud574 \uccb4\uc778 \uaddc\uce59\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-8abee37ef3d49cc56596417a2e31618f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" 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-ad4635f85ae781dd1565a8f6581d26c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=e^{2x^3} \\ \\longrightarrow \\ \\bm{f'(x)= e^{2x^3}\\cdot 6x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 4<\/h3>\n<p> \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \ubcf5\ud569 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \ucc3e\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-a10feee3fd85abefa9ec5ea79c0cf223_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[3]{\\text{sen}(x) +x }\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"158\" style=\"vertical-align: -6px;\"><\/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-left\"> \ube44\ud569\ub9ac\ud568\uc218\uc758 \ub17c\uc99d\uc5d0\ub294 \uc815\ud604\ud568\uc218\uc640 \uc120\ud615\ud568\uc218\uac00 \uc788\uae30 \ub54c\ubb38\uc5d0 \uc774\ub294 \ud568\uc218\uc758 \ud569\uc131\uc774\ub2e4. \ub530\ub77c\uc11c \uba3c\uc800 \uadfc\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-64a603462f094d4c699c56453463ca49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[n]{x} \\ \\longrightarrow \\ f'(x)=\\cfrac{1}{n\\sqrt[n]{x^{n-1}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"265\" style=\"vertical-align: -16px;\"><\/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-e909efbe50930f94cce0b2485b060046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=\\sqrt[3]{\\text{sen}(x) +x } \\ \\longrightarrow \\ f'\\bigl(g(x)\\bigr)= \\cfrac{1}{3\\sqrt[3]{\\bigl(\\text{sen}(x) +x\\bigr)^2 }}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"455\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \uc6b0\ub9ac\ub294 \uae09\uc9c4\ud30c\ub85c\ubd80\ud130 \ub17c\uc99d\uc744 \ub3c4\ucd9c\ud569\ub2c8\ub2e4. \uc774\ub294 \ud568\uc218\uc758 \ud569\uc774\ubbc0\ub85c \ub3c4\ud568\uc218\ub294 \uac01 \ud56d\uc758 \ub3c4\ud568\uc218\uc758 \ud569\uc774 \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-ffa1d177a8dfe81684225dffd555e6fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=\\text{sen}(x) +x \\ \\longrightarrow \\ g'(x)=\\cos(x) + 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"326\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \uc804\uccb4 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 \uacc4\uc0b0\ub41c \ub450 \ub3c4\ud568\uc218\ub97c \uacf1\ud55c \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-8abee37ef3d49cc56596417a2e31618f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" 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-fad132b49a5faab86a3955efd5422973_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f(x)=\\sqrt[3]{\\text{sen}(x)+x} \\ \\longrightarrow \\ f'(x)&amp; = \\cfrac{1}{3\\sqrt[3]{\\bigl(\\text{sen}(x) +x\\bigr)^2 }} \\cdot \\bigl(\\cos(x) + 1 \\bigr)\\\\[1.5ex]&amp;=\\cfrac{\\bm{\\cos(x) + 1}}{\\bm{3\\sqrt[3]{\\bigl(\\mathbf{sen}(x) +x\\bigr)^2} }}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"133\" width=\"509\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 5<\/h3>\n<p> \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c\uacfc \uac19\uc740 \ud568\uc218 \uad6c\uc131\uc744 \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-09f37b7970003fc0221e15dccc157ccf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3^{x^2+5}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"100\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\uc194\ub8e8\uc158 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc5f0\uc1c4\ubc95\uce59\uc744 \uc801\uc6a9\ud558\ub824\uba74 \uac70\ub4ed\uc81c\uacf1\uacfc \ub2e4\ud56d\uc2dd\uc758 \ub3c4\ud568\uc218\ub97c \uad6c\ud55c \ud6c4 \uc774\ub97c \uacf1\ud574\uc57c \ud569\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc6b0\ub9ac\ub294 \ud574\ub2f9 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \uac80\uc815\ub825\uc744 \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-a9fb428e4d74e0f972130fde4e48ac0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^x \\ \\longrightarrow \\ f'(x)=a^x\\cdot \\ln (a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" 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-b1d18c3443d6398dcefba063ac556cbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=3^{x^2+5} \\ \\longrightarrow \\ f'\\bigl(g(x)\\bigr)= 3^{x^2+5}\\cdot  \\ln(3)\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"355\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub458\uc9f8, \uc9c0\uc218\ub85c\ubd80\ud130 \ub2e4\ud56d\uc2dd \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-6070c83f8944ee39ae4e3e6e125bcc72_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=x^2+5 \\ \\longrightarrow \\ g'(x)=2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"235\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub9ac\uace0 \uccb4\uc778 \uaddc\uce59\uc740 \uc804\uccb4 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 \uc6b0\ub9ac\uac00 \ubc29\uae08 \ucc3e\uc740 \ub3c4\ud568\uc218\ub4e4\uc758 \uacf1\uc784\uc744 \uc54c\ub824\uc90d\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-8abee37ef3d49cc56596417a2e31618f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" 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-bc0c78749a089e832984e3844345b6f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3^{x^2+5} \\ \\longrightarrow \\ \\bm{f'(x)= 3^{x^2+5}\\cdot  \\ln(3) \\cdot 2x}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"337\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 6 <\/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-6c85e9125bf4f54041c798dc4cc8975d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln \\bigl(4x^2 \\cdot \\cos(x) \\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"174\" 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-left\"> \ubd84\uba85\ud788, \uc774 \ubb38\uc81c\uc758 \ud568\uc218\ub294 \ud569\uc131 \ud568\uc218\uc785\ub2c8\ub2e4. \uc65c\ub0d0\ud558\uba74 \uc790\uc5f0 \ub85c\uadf8\uc758 \ub17c\uc99d\uc5d0\uc11c \uc6b0\ub9ac\ub294 \ub450 \uac00\uc9c0 \ub2e4\ub978 \uc720\ud615\uc758 \ud568\uc218\uc758 \uacf1\uc744 \uac00\uc9c0\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uba3c\uc800 \ub85c\uadf8\ub97c \ubbf8\ubd84\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-a18d7f43ff1861389379485ae00db981_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\ln(x) \\ \\longrightarrow \\ f'(x)=\\cfrac{1}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"223\" 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-9b6ac8614a0671889738a762d0be9c29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=\\ln \\bigl(4x^2 \\cdot \\cos(x) \\bigr) \\ \\longrightarrow \\ f'\\bigl(g(x)\\bigr)= \\cfrac{1}{4x^2 \\cdot \\cos(x) }\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"430\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub458\uc9f8, \ub85c\uadf8 \uc778\uc218\ub85c\ubd80\ud130 \ud568\uc218\ub97c \ub3c4\ucd9c\ud569\ub2c8\ub2e4. \uc774\ub294 \ub450 \ud568\uc218\uc758 \uacf1\uc148\uc774\ubbc0\ub85c \ud30c\uc0dd\uc744 \uc218\ud589\ud558\ub824\uba74 \ub2e4\uc74c \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-cd35f94998c8450bd2e65e92eeecea2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f(x) \\cdot g(x) \\ \\longrightarrow \\ z'(x)=f'(x)\\cdot g(x)+f(x) \\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"439\" 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-643ddf7ec82cbcc3bc685ceadf59da98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}g(x)=4x^2 \\cdot \\cos(x) \\ \\longrightarrow \\ g'(x) &amp; = 8x\\cdot \\cos(x) + 4x^2 \\cdot \\bigl(- \\text{sen}(x)\\bigr) \\\\[2ex] &amp; = 8x\\cdot \\cos(x) - 4x^2 \\cdot  \\text{sen}(x)\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"472\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \uccb4\uc778 \uaddc\uce59\uc5d0 \ub530\ub77c \uc804\uccb4 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 \ub450 \ub3c4\ud568\uc218\uc758 \uacf1\uc774 \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-8abee37ef3d49cc56596417a2e31618f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" 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-6912d0951fb85a61df21cbed282000f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;= \\cfrac{1}{4x^2 \\cdot \\cos(x) } \\cdot \\bigl( 8x\\cdot \\cos(x) - 4x^2 \\cdot  \\text{sen}(x) \\bigr)\\\\[1.5ex]&amp;=\\cfrac{8x\\cdot \\cos(x) - 4x^2 \\cdot\\text{sen}(x)}{4x^2 \\cdot \\cos(x)}\\\\[1.5ex]&amp;=\\cfrac{\\bm{2\\cos(x) - x \\cdot }\\mathbf{sen}\\bm{(x)}}{\\bm{x \\cdot \\cos(x) }}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"169\" width=\"368\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 7<\/h3>\n<p> \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \ud568\uc218\uc758 \ubbf8\ubd84\uc744 \ud489\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-3eb7a0c588b3aac39a2a4aa49a691598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_9 (e^{x^2}-6x^7)\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\uc194\ub8e8\uc158 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uc774\ub294 \ud568\uc218\uc758 \uad6c\uc131\uc774\ubbc0\ub85c \ub85c\uadf8\uc640 \uadf8 \uc778\uc218\ub97c \ubcc4\ub3c4\ub85c \ubbf8\ubd84\ud55c \ud6c4 \ub3c4\ud568\uc218\ub97c \uacf1\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \uba3c\uc800 \ub85c\uadf8\ub97c \ubc11\uc218 9\ub85c \ubbf8\ubd84\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-2c3339cb70e45253b4994a0c740202cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a (x) \\ \\longrightarrow \\ f'(x)=\\cfrac{1}{x\\cdot \\ln (a)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"289\" 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-b0b4fc286244d6e5e35b8f7e94961314_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=\\log_9 (e^{x^2}-6x^7) \\ \\longrightarrow \\ f'\\bigl(g(x)\\bigr)=\\cfrac{1}{\\bigl(e^{x^2}-6x^7\\bigr)\\cdot \\ln(9)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"479\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \uc6b0\ub9ac\ub294 \ub85c\uadf8 \uc778\uc218\uc758 \ubbf8\ubd84\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4. \uc22b\uc790 e\ub294 \uc778\uc218\uc5d0 \ud568\uc218\ub97c \uac00\uc9c0\uace0 \uc788\uc2b5\ub2c8\ub2e4. \uc989, \ubcf5\ud569 \ud568\uc218\uc774\ubbc0\ub85c \uc774 \ud568\uc218\ub97c \ud30c\uc0dd\ud558\ub824\uba74 \uc5f0\uc1c4 \uaddc\uce59\ub3c4 \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-8abee37ef3d49cc56596417a2e31618f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" 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-34065617ade6fb28fe66bc3f57a49cd9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h(x)=e^{x^2} \\ \\longrightarrow \\ h'(x)=e^{x^2}\\cdot \\bigl(x^2\\bigr)' =e^{x^2}\\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"348\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \ub85c\uadf8\uc758 \uc815\uc218 \uc778\uc218\uc758 \ubbf8\ubd84\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-1f7cd729a06f3cde16890b587693a667_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)= e^{x^2}-6x^7\\ \\longrightarrow \\ g'(x)=e^{x^2}\\cdot 2x - 42x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"352\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub9ac\uace0 \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc804\uccb4 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 f'(g(x))\uc640 g'(x)\uc758 \uacf1\uc774 \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-8abee37ef3d49cc56596417a2e31618f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" 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-2a702df902c9f1eff66e14836a262c0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f'(x)&amp;=\\cfrac{1}{\\bigl(e^{x^2}-6x^7\\bigr)\\cdot \\ln(9)} \\cdot \\bigl(e^{x^2}\\cdot 2x - 42x^6\\bigr)\\\\[1.5ex]&amp;=\\cfrac{\\bm{e^{x^2}\\cdot 2x - 42x^6}}{\\bm{\\bigl(e^{x^2}-6x^7\\bigr)\\cdot \\ln(9)}}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"342\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\uc5f0\uc2b5 8<\/h3>\n<p> \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub2e4\uc74c \ubcf5\ud569 \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-0fa2f9b67e41d5edc5bbef249f598359_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}\\biggl( \\Bigl(9x^5 + \\cos(x) \\Bigr)^2 \\biggr)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"231\" style=\"vertical-align: -17px;\"><\/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-left\"> \uc774\ubc88 \uc5f0\uc2b5\uc5d0\uc11c\ub294 \uc5ec\ub7ec \ud568\uc218\ub85c \uad6c\uc131\ub418\uc5b4 \uc788\uc73c\ubbc0\ub85c \uccb4\uc778 \uaddc\uce59\uc744 \uc5ec\ub7ec \ubc88 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4. \uba3c\uc800 \uc0ac\uc778\uc73c\ub85c\ubd80\ud130 \uc0bc\uac01\ud568\uc218\ub97c \ub3c4\ucd9c\ud569\ub2c8\ub2e4. \uadf8 \ub3c4\ud568\uc218\ub294 \ucf54\uc0ac\uc778\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-b6d04ed6e1b20f210641bb48c25c2c42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\bigl(g(x)\\bigr)=\\text{sen}\\biggl( \\Bigl(9x^5 + \\cos(x) \\Bigr)^2 \\biggr)\\ \\longrightarrow \\ f'\\bigl(g(x)\\bigr)=\\cos\\biggl( \\Bigl(9x^5 + \\cos(x) \\Bigr)^2 \\biggr)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"569\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \uccb4\uc778 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc0ac\uc778 \uc778\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-8abee37ef3d49cc56596417a2e31618f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" 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-2e1c2492990456e277e493c898cb3924_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} g(x)= \\Bigl( 9x^5 + \\cos(x) \\Bigr)^2 \\cdot g'(x) &amp;= 2\\Bigl(9x^5 + \\cos(x) \\Bigr) \\cdot \\Bigl(9x^5 + \\cos(x) \\Bigr)' \\\\[1.5ex]&amp;=2\\Bigl(9x^5 + \\cos(x) \\Bigr) \\cdot \\Bigl(45x^4-\\text{sen}(x)\\Bigr)\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"519\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uccb4\uc778 \uaddc\uce59\uc744 \ub2e4\uc2dc \uc801\uc6a9\ud558\uc5ec \uc804\uccb4 \ud568\uc218 \uad6c\uc131\uc758 \ub3c4\ud568\uc218\ub97c \uc5bb\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-8abee37ef3d49cc56596417a2e31618f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=f\\bigl(g(x)\\bigr) \\ \\longrightarrow \\ z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" 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-db5ac3368ea7d37f280e0f538aaed1a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f'(x)=\\cos } \\bm{\\biggl( \\Bigl(9x^5 + \\cos(x) \\Bigr)^2 \\biggr) \\cdot 2\\Bigl(9x^5 + \\cos(x) \\Bigr) \\cdot \\Bigl(45x^4-}\\mathbf{sen}\\bm{(x)\\Bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"510\" style=\"vertical-align: -17px;\"><\/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-regla-de-la-cadena\"><\/span> \uccb4\uc778 \uaddc\uce59 \uc99d\uba85<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc5f0\uc1c4\ubc95\uce59 \uacf5\uc2dd\uc744 \uc99d\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574 \ubbf8\ubd84\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-dc1699622d128f888c1f20599aeccf60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{f(x+h)-f(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"219\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> <em>z\ub97c<\/em> \ub450 \uac00\uc9c0 \ud568\uc218\ub85c \uad6c\uc131\ub41c \ud568\uc218\ub85c \uc124\uc815\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-6a650ba7c58d41f371d90a56e4d4fd4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z=f\\bigl(g(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"90\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \uadf8\ub7ec\uba74 \uc815\uc758\ub97c \uc801\uc6a9\ud55c \ud568\uc218 <em>z<\/em> \uc758 \ubbf8\ubd84\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-9419bc1d5617600c2ffea842822efed7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{f\\bigl(g(x+h)\\bigr)-f\\bigl(g(x)\\bigr)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"269\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> \uc774\ubbf8 \uc54c\uace0 \uc788\ub4ef\uc774 \ubd84\uc218\uc5d0 \uac19\uc740 \ud56d\uc744 \uacf1\ud558\uace0 \ub098\ub20c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc65c\ub0d0\ud558\uba74 \uacb0\uacfc\uac00 \ubc14\ub00c\uc9c0 \uc54a\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ub2e4\uc74c \ub2e8\uacc4\ub85c \ub118\uc5b4\uac08 \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-18ff4ca3bcd8ba04a25aa0187b3b5b3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{f\\bigl(g(x+h)\\bigr)-f\\bigl(g(x)\\bigr)}{h}\\cdot \\frac{g(x+h)-g(x)}{g(x+h)-g(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"405\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \ubd84\uc218\uc758 \ubd84\ubaa8\ub97c \uc7ac\uc815\ub82c\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-9059bbff916941c2e161b6d127ec654e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{f\\bigl(g(x+h)\\bigr)-f\\bigl(g(x)\\bigr)}{g(x+h)-g(x)}\\cdot \\frac{g(x+h)-g(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"405\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uadf9\ud55c\uc758 \uc18d\uc131\uc744 \uc801\uc6a9\ud558\uba74 \uc704\uc758 \uadf9\ud55c\uc744 \ub450 \uac1c\ub85c \ub098\ub20c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc81c\ud488\uc758 \ud55c\ub3c4\ub294 \ud55c\ub3c4\uc758 \uacf1\uacfc \ub3d9\uc77c\ud558\ubbc0\ub85c:<\/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-220a40fee3825089394f3d6e5578c4eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=\\lim_{h \\to 0}\\frac{f\\bigl(g(x+h)\\bigr)-f\\bigl(g(x)\\bigr)}{g(x+h)-g(x)}\\cdot \\lim_{h \\to 0}\\frac{g(x+h)-g(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"436\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \uc774 \ud45c\ud604\uc2dd\uc740 \ub2e4\uc74c\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-8188c6fac1c61928975e7a8c02ac79c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle z'(x)=f'\\bigl(g(x)\\bigr)\\cdot g'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"175\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \uccb4\uc778 \uaddc\uce59 \uacf5\uc2dd\uc740 \ub3c4\ud568\uc218 \uc815\uc758\uc5d0\uc11c \ub3c4\ub2ec\ud588\uae30 \ub54c\ubb38\uc5d0 \uc785\uc99d\ub418\uc5c8\uc2b5\ub2c8\ub2e4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc5ec\uae30\uc11c\ub294 \uc5f0\uc1c4\ubc95\uce59\uc774 \ubb34\uc5c7\uc778\uc9c0, \uc5f0\uc1c4\ubc95\uce59\uc744 \uc774\uc6a9\ud558\uc5ec \ud568\uc218\ub97c \ub3c4\ucd9c\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubd05\ub2c8\ub2e4. \ub610\ud55c \uc5f0\uc1c4\ubc95\uce59\uc744 \uc801\uc6a9\ud55c \ub3c4\ud568\uc218 \ud480\uc774\uc758 \uc5ec\ub7ec \uc608\ub97c \ubcfc \uc218 \uc788\uc73c\uba70, \uc5f0\uc1c4\ubc95\uce59\uc744 \uc801\uc6a9\ud55c \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \ub2e8\uacc4\ubcc4 \ud480\uc774 \uc5f0\uc2b5\ub3c4 \ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uccb4\uc778 \uaddc\uce59\uc774\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c? \uccb4\uc778 \uaddc\uce59\uc740 \ubcf5\ud569 \ud568\uc218\ub97c \uc720\ub3c4\ud558\ub294 \ub370 \uc0ac\uc6a9\ub418\ub294 \uacf5\uc2dd\uc785\ub2c8\ub2e4. \uc5f0\uc1c4 \ubc95\uce59\uc5d0 \ub530\ub974\uba74 \ubcf5\ud569 \ud568\uc218 f(g(x)) \uc758 \ub3c4\ud568\uc218\ub294 \ub3c4\ud568\uc218 f'(g(x)) \uc5d0 \ub3c4\ud568\uc218 g'(x) \ub97c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%ed%8c%8c%ec%83%9d%eb%90%9c-%ea%b7%9c%ec%b9%99-%ec%b2%b4%ec%9d%b8\/\"> <span class=\"screen-reader-text\">\uc5f0\uc1c4\ubc95\uce59(\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-40","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This site is optimized 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