{"id":32,"date":"2023-09-17T11:03:23","date_gmt":"2023-09-17T11:03:23","guid":{"rendered":"https:\/\/mathority.org\/ko\/%eb%b6%80%eb%b9%84%eb%8f%99-%ed%8c%8c%ec%83%9d%eb%ac%bc\/"},"modified":"2023-09-17T11:03:23","modified_gmt":"2023-09-17T11:03:23","slug":"%eb%b6%80%eb%b9%84%eb%8f%99-%ed%8c%8c%ec%83%9d%eb%ac%bc","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%eb%b6%80%eb%b9%84%eb%8f%99-%ed%8c%8c%ec%83%9d%eb%ac%bc\/","title":{"rendered":"\uc720\ubc29 \uc720\ub798"},"content":{"rendered":"<p>\uc774 \ubb38\uc11c\uc5d0\uc11c\ub294 \uc0ac\uc778 \ud30c\uc0dd(\uacf5\uc2dd)\uc744 \ub9cc\ub4dc\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud569\ub2c8\ub2e4. \uc815\ud604\ud30c \ud568\uc218\uc758 \ubbf8\ubd84 \uc608\uc640 \uc5f0\uc2b5\ud560 \uc218 \uc788\ub294 \ub2e8\uacc4\ubcc4 \uc5f0\uc2b5 \ubb38\uc81c\ub97c \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ucd94\uac00\uc801\uc73c\ub85c \uc0ac\uc778\uc758 2\ucc28 \ub3c4\ud568\uc218\uc640 \uc0ac\uc778\uc758 \uc5ed\ub3c4\ud568\uc218\ub97c \ubcf4\uc5ec \ub4dc\ub9ac\uba70 \uc0ac\uc778\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd\ub3c4 \ubcf4\uc5ec\ub4dc\ub9bd\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-derivada-del-seno\"><\/span> \uc0ac\uc778\uc758 \ubbf8\ubd84\uc740 \ubb34\uc5c7\uc785\ub2c8\uae4c?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\uc0ac\uc778 \ud568\uc218\uc758 \ubbf8\ubd84\uc740 \ucf54\uc0ac\uc778 \ud568\uc218\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c x \uc0ac\uc778\uc758 \ub3c4\ud568\uc218\ub294 x\uc758 \ucf54\uc0ac\uc778\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-2fdc142e7ff766dcf7fcd24b16e11ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"375\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc0ac\uc778 \uc778\uc218\uc5d0 \ud568\uc218\uac00 \uc788\ub294 \uacbd\uc6b0 \uc0ac\uc778\uc758 \ub3c4\ud568\uc218\ub294 \ud574\ub2f9 \ud568\uc218\uc758 \ucf54\uc0ac\uc778\uc5d0 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \uacf1\ud55c \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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc0ac\uc778 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uc774 \ub450 \ubc88\uc9f8 \uacf5\uc2dd\uc740 \uccab \ubc88\uc9f8 \uacf5\uc2dd\uc5d0 \uc5f0\uc1c4 \uaddc\uce59\uc744 \uc801\uc6a9\ud558\uc5ec \uc5bb\uc2b5\ub2c8\ub2e4. \uc694\uc57d\ud558\uba74, \uc0ac\uc778 \ud568\uc218\uc758 \ubbf8\ubd84 \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\/derivee-du-sinus.webp\" alt=\"\uc720\ubc29 \uc720\ub798\" class=\"wp-image-1872\" width=\"392\" height=\"282\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-seno\"><\/span> \uc0ac\uc778 \ud30c\uc0dd\ubb3c\uc758 \uc608<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc0ac\uc778 \ud30c\uc0dd \uacf5\uc2dd\uc774 \ubb34\uc5c7\uc778\uc9c0 \ud655\uc778\ud55c \ud6c4\uc5d0\ub294 \uc0ac\uc778 \ud568\uc218 \ud30c\uc0dd \ubc29\ubc95\uc744 \uc644\uc804\ud788 \uc774\ud574\ud560 \uc218 \uc788\ub3c4\ub85d \uc774\ub7ec\ud55c \uc720\ud615\uc758 \uc0bc\uac01 \ud30c\uc0dd \ud615\uc2dd\uc5d0 \ub300\ud55c \uba87 \uac00\uc9c0 \uc608\ub97c \uc124\uba85\ud569\ub2c8\ub2e4. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-del-seno-de-2x\"><\/span> \uc608 1: 2x \uc0ac\uc778\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-8eb4985d571a4ead05f1f6289197249f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc0ac\uc778 \uc778\uc218\uc5d0\ub294 x\uc640 \ub2e4\ub978 \ud568\uc218\uac00 \uc788\uc73c\ubbc0\ub85c \uc0ac\uc778\uc744 \uc720\ub3c4\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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> 2x\uc758 \ub3c4\ud568\uc218\ub294 2\uc774\ubbc0\ub85c, 2x\uc758 \uc0ac\uc778 \ub3c4\ud568\uc218\ub294 2x\uc758 \ucf54\uc0ac\uc778 \uacf1\ud558\uae30 2\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-c3fdd6b2afbc2c387f9160474119139f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(2x)\\cdot 2=2\\text{cos}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"503\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-del-seno-de-x-al-cuadrado\"><\/span> \uc608 2: x \uc81c\uacf1\uc758 \uc0ac\uc778 \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-856ab4d35ee160a6b966a748ec9cf4f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc0ac\uc778 \ud568\uc218\uc758 \ubbf8\ubd84 \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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 x <sup>2<\/sup> \uc758 \ub3c4\ud568\uc218\ub294 2x\uc640 \uac19\uc73c\ubbc0\ub85c x \uc0ac\uc778\uc758 2\uc2b9 \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-901d9c0780a330a0d10d9f6d0185bbe2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(x^2)\\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"423\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-del-seno-al-cubo\"><\/span> \uc608 3: \uc0ac\uc778 \ud050\ube0c\uc758 \ubbf8\ubd84<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6428f8178ef3b768b1ec0a673f31c814_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}^3(x^5+4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"162\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc774 \uc608\uc5d0\uc11c \uc0ac\uc778 \ud568\uc218\ub294 \ub2e4\ub978 \ud568\uc218\ub85c \uad6c\uc131\ub418\ubbc0\ub85c \uc0ac\uc778\uc744 \uad6c\ubcc4\ud558\ub824\uba74 \ub2e4\uc74c \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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \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-5ec8461861a7213d371d7dc6cff1cc92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=3\\text{sen}^2(x^5+4x)\\cdot \\text{cos}(x^5+4x)\\cdot (5x^4+4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"368\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <u style=\"text-decoration-color:#ff951b;\">\uc774 \ud568\uc218\ub97c \ub3c4\ucd9c\ud558\ub824\uba74<\/u> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u110c\u1165\u11ab\u1105\u1167\u11a8-\u110c\u1165\u11ab\u110b\u1171-\u1112\u1161\u11b7\u1109\u116e\u110b\u1174-\u1106\u1175\u1107\u116e\u11ab\/\">\uac70\ub4ed\uc81c\uacf1\uc758 \ub3c4\ud568\uc218 \uacf5\uc2dd<\/a><\/span> \ub3c4 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"segunda-derivada-del-seno\"><\/span>\uc0ac\uc778\uc758 2\ucc28 \ub3c4\ud568\uc218<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uadf8\ub7f0 \ub2e4\uc74c \uc0ac\uc778 \ud568\uc218\uc758 2\ucc28 \ub3c4\ud568\uc218\ub97c \ubd84\uc11d\ud560 \uac83\uc785\ub2c8\ub2e4. \uc65c\ub0d0\ud558\uba74 \uc0bc\uac01 \ud568\uc218\uc774\uae30 \ub54c\ubb38\uc5d0 \ud2b9\uc815 \ud2b9\uc131\uc744 \ub098\ud0c0\ub0b4\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4.<\/p>\n<p> \uc704\uc5d0\uc11c \ubcf8 \uac83\ucc98\ub7fc \uc0ac\uc778\uc758 \ubbf8\ubd84\uc740 \ucf54\uc0ac\uc778\uc785\ub2c8\ub2e4. \uc74c, \ucf54\uc0ac\uc778\uc758 \ubbf8\ubd84\uc740 \uc0ac\uc778\uc774\uc9c0\ub9cc \ubd80\ud638\uac00 \ubcc0\uacbd\ub418\uc5c8\uc2b5\ub2c8\ub2e4. \uc774\ub294 <strong>\uc0ac\uc778\uc758 2\ucc28 \ub3c4\ud568\uc218\uac00 \uc0ac\uc778 \uc790\uccb4\uc774\uc9c0\ub9cc \ubd80\ud638\uac00 \ubcc0\uacbd\ub418\uc5c8\uc74c\uc744<\/strong> \uc758\ubbf8\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-7a312c69d71be2df495ba30f6e3b85e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{sen}(x)\\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f'(x)=\\text{cos}(x)\\\\[2ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f''(x)=-\\text{sen}(x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"157\" width=\"133\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uadf8\ub7ec\ub098 \uc0ac\uc778 \uc778\uc218\uac00 x\uac00 \uc544\ub2cc \uacbd\uc6b0 \uccb4\uc778 \uaddc\uce59 \ud56d\uc744 \ub04c\uc5b4\uc57c \ud558\ubbc0\ub85c \uc774 \uc870\uac74\uc774 \ubcc0\uacbd\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-a6a3a1255d5494e320a50ef02bce9d19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{sen}(u)\\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f'(x)=\\text{cos}(u)\\cdot u' \\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f''(x)=-\\text{sen}(u)\\cdot u'^2 +\\text{cos}(u)\\cdot u'' \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"153\" width=\"263\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-del-seno-inverso\"><\/span>\uc5ed\uc815\ud604\ud30c \ub3c4\ud568\uc218<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc798 \uc544\uc2dc\ub2e4\uc2dc\ud53c, \ubaa8\ub4e0 \uc0bc\uac01\ud568\uc218\ub294 \uc5ed\ud568\uc218\ub97c \uac00\uc9c0\ubbc0\ub85c \uc5ed\uc0ac\uc778\ub3c4 \ubbf8\ubd84 \uac00\ub2a5\ud569\ub2c8\ub2e4.<\/p>\n<p> <strong>\uc5ed\uc0ac\uc778\uc758 \ub3c4\ud568\uc218\ub294<\/strong> \uc778\uc218 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c 1\uc758 \uc81c\uacf1\uadfc\uc5d0\uc11c \uc778\uc218 \ud568\uc218\uc758 \uc81c\uacf1\uc744 \ube80 \uac12\uc73c\ub85c \ub098\ub208 \ubaab\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-8fbeb5e099f046c572b9076a3e65b80b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}^{-1}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"412\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \uc5ed\uc0ac\uc778\uc740 \uc544\ud06c\uc0ac\uc778\uc774\ub77c\uace0\ub3c4 \ud568\uc744 \uae30\uc5b5\ud558\uc138\uc694.<\/p>\n<p> \uc608\ub97c \ub4e4\uc5b4, 5x\uc758 \uc5ed\uc0ac\uc778 \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-6946743939fbacc11ac050625151ea97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}^{-1}(5x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{5}{\\sqrt{1-(5x)^2}}=\\cfrac{5}{\\sqrt{1-25x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"553\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-del-seno\"><\/span> \uc0ac\uc778 \ud30c\uc0dd\ubb3c\uc5d0 \ub300\ud55c \ud574\uacb0\ub41c \uc5f0\uc2b5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ub2e4\uc74c \uc815\ud604\ud30c \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub97c \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-91a8a2e764daa0e57ffd835005c8c474_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f(x)=\\text{sen}(7x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" 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-e80e9e86c1ff2373d4321dbf0b348d8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f(x)=\\text{sen}(x^2+5x-9)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"210\" 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-acda934e5f1e150c3657c7c179dae04e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }\\displaystyle f(x)=\\text{sen}\\left(\\frac{x}{4}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"144\" 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-b5dd5bfe722128418bd89665bb3d7fc5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f(x)=\\text{sen}^4(5x^3-10x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"214\" 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-25cef83962dcc595ea141212c144424c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f(x)=\\text{sen}\\bigl(\\ln(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"161\" 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-1761cfbdc805de80c6edab26613014cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) }f(x)=2\\text{sen}(x^4-3x^3)-7\\text{sen}^2(x^5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"290\" 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-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a0c6093fe6364e806ee4adb980e6ae1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f'(x)=7\\text{cos}(7x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" 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-0c4f15d01ad3f2dae29e0e6e4944b050_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f'(x)=\\text{cos}(x^2+5x-9)\\cdot (2x+5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"290\" 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-5ec1bb477b6f8b9d62adffa38288667b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }\\displaystyle f'(x)=\\text{cos}\\left(\\frac{x}{4}\\right)\\cdot \\frac{1}{4}=\\frac{\\text{cos}\\left(\\frac{x}{4}\\right)}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"256\" 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-4d54d16bf947c61429cb47f9613701cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f'(x)=4\\text{sen}^3(5x^3-10x^2)\\cdot \\text{cos}(5x^3-10x^2)\\cdot (15x^2-20x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"473\" 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-9a5b66e0c4e67d903aea56caef9e72df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f'(x)=\\text{cos}\\bigl(\\ln(x)\\bigr)\\cdot \\cfrac{1}{x} =\\cfrac{\\text{cos}\\bigl(\\ln(x)\\bigr)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"296\" 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-d5002d567a4412d1a78c369ff26ebb66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) }f'(x)=2\\text{cos}(x^4-3x^3)\\cdot (4x^3-9x^2)-14\\text{sen}(x^5)\\cdot \\text{cos}(x^5)\\cdot 5x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"504\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-derivada-del-seno\"><\/span> \uc0ac\uc778 \ud30c\uc0dd\ubb3c\uc758 \uc2dc\uc5f0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc774 \uc139\uc158\uc5d0\uc11c\ub294 \ub3c4\ud568\uc218\uc758 \uc815\uc758\ub97c \uc0ac\uc6a9\ud558\uc5ec x \uc0ac\uc778\uc758 \ub3c4\ud568\uc218\uac00 x\uc758 \ucf54\uc0ac\uc778\uc784\uc744 \ubcf4\uc5ec\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-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> \uc774 \uacbd\uc6b0 \ud30c\uc0dd\ub418\ub294 \ud568\uc218\ub294 sin(x)\uc774\ubbc0\ub85c \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9af97a03363cd676667ad58135760ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{\\text{sen}(x+h)-\\text{sen}(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"247\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> \ud569\uacc4\uc758 \uc0ac\uc778\uc740 \ub2e4\uc74c \uc0bc\uac01\ubc95 \ud56d\ub4f1\uc2dd\uc744 \uc801\uc6a9\ud558\uc5ec \ub2e4\uc2dc \uc791\uc131\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-0836929c5c4ae666d530ad9946e1a191_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(a+b)=\\text{sen}(a)\\text{cos}(b)+\\text{cos}(a)\\text{sen}(b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"308\" 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-dbebd45e9fdfaa9e6ade3b6a4bfad716_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{\\text{sen}(x)\\text{cos}(h)+\\text{cos}(x)\\text{sen}(h)-\\text{sen}(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"381\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> \ubd84\uc218\ub97c \ub3d9\uc77c\ud55c \ubd84\ubaa8\ub97c \uac00\uc9c4 \ub450 \uac1c\uc758 \ubd84\uc218\ub85c \ubcc0\ud658\ud569\ub2c8\ub2e4. \uc6b0\ub9ac\ub294 \ud569\uacc4 \ud55c\ub3c4\uc758 \ubc95\uce59 \ub355\ubd84\uc5d0 \uc774 \uc791\uc5c5\uc744 \uc218\ud589\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-3368ab9ecc3a19ad382f85707d6e66cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\left[\\frac{\\text{sen}(x)(\\text{cos}(h)-1)}{h}+\\frac{\\text{cos}(x)\\text{sen}(h)}{h}\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"375\" 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-819a10da8fb503b9797c855f0a6208bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\text{sen}(x)\\frac{\\text{cos}(h)-1}{h}+\\lim_{h \\to 0}\\text{cos}(x)\\frac{\\text{sen}(h)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"377\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uace0:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u1109\u1169\u11a8\u1109\u1165\u11bc\u110b\u1174-\u1100\u1173\u11a8\u1112\u1161\u11ab-\u1107\u1165\u11b8\u110e\u1175\u11a8\/\">\uadf9\ud55c\uc758 \ubc95\uce59<\/a><\/span><\/p>\n<p> x\uc758 \uc0ac\uc778\uacfc x\uc758 \ucf54\uc0ac\uc778 \ud56d\uc740 h \uac12\uc5d0 \uc758\uc874\ud558\uc9c0 \uc54a\uc73c\ubbc0\ub85c \uadf9\ud55c\uc5d0\uc11c \ubc97\uc5b4\ub0a0 \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-2ae7a3b5022abcb1941be4a0b6a02287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{sen}(x)\\cdot\\lim_{h \\to 0}\\frac{\\text{cos}(h)-1}{h}+\\text{cos}(x)\\cdot\\lim_{h \\to 0}\\frac{\\text{sen}(h)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"402\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> \uc774\uc81c \uc6b0\ub9ac\uac00 \ud574\uc57c \ud560 \uc77c\uc740 \ub2e4\uc74c \ub450 \uac00\uc9c0 \uc0bc\uac01\ubc95 \ud55c\uacc4\ub97c \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-14300dcf4010d732b8568b9b4460b5e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" 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-51835176b411ca1ec4f37835a83685fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"146\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uace0:<\/strong> \ub2f9\uc0ac \uc6f9\uc0ac\uc774\ud2b8\uc758 \uac80\uc0c9 \uc5d4\uc9c4\uc5d0\uc11c \uc774\uc804\uc758 \ub450 \uc0bc\uac01\ubc95 \uadf9\ud55c\uc5d0 \ub300\ud55c \ub370\ubaa8\ub97c \uac80\uc0c9\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-cfbe7d4af77ff230e9e7a059414e90e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{sen}(x)\\cdot 0+\\text{cos}(x)\\cdot 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"223\" 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-863dc523f1b112a07352b60c8dfdc2b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \uc6b0\ub9ac\ub294 x\uc758 \uc0ac\uc778\uc758 \ub3c4\ud568\uc218\uac00 x\uc758 \ucf54\uc0ac\uc778\uc774\ub77c\ub294 \uac83\uc744 \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \ubb38\uc11c\uc5d0\uc11c\ub294 \uc0ac\uc778 \ud30c\uc0dd(\uacf5\uc2dd)\uc744 \ub9cc\ub4dc\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud569\ub2c8\ub2e4. \uc815\ud604\ud30c \ud568\uc218\uc758 \ubbf8\ubd84 \uc608\uc640 \uc5f0\uc2b5\ud560 \uc218 \uc788\ub294 \ub2e8\uacc4\ubcc4 \uc5f0\uc2b5 \ubb38\uc81c\ub97c \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ucd94\uac00\uc801\uc73c\ub85c \uc0ac\uc778\uc758 2\ucc28 \ub3c4\ud568\uc218\uc640 \uc0ac\uc778\uc758 \uc5ed\ub3c4\ud568\uc218\ub97c \ubcf4\uc5ec \ub4dc\ub9ac\uba70 \uc0ac\uc778\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd\ub3c4 \ubcf4\uc5ec\ub4dc\ub9bd\ub2c8\ub2e4. \uc0ac\uc778\uc758 \ubbf8\ubd84\uc740 \ubb34\uc5c7\uc785\ub2c8\uae4c? \uc0ac\uc778 \ud568\uc218\uc758 \ubbf8\ubd84\uc740 \ucf54\uc0ac\uc778 \ud568\uc218\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c x \uc0ac\uc778\uc758 \ub3c4\ud568\uc218\ub294 x\uc758 \ucf54\uc0ac\uc778\uacfc \uac19\uc2b5\ub2c8\ub2e4. \uc0ac\uc778 \uc778\uc218\uc5d0 \ud568\uc218\uac00 \uc788\ub294 \uacbd\uc6b0 \uc0ac\uc778\uc758 \ub3c4\ud568\uc218\ub294 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%eb%b6%80%eb%b9%84%eb%8f%99-%ed%8c%8c%ec%83%9d%eb%ac%bc\/\"> <span class=\"screen-reader-text\">\uc720\ubc29 \uc720\ub798<\/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-32","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This site is optimized 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