{"id":31,"date":"2023-09-17T11:03:43","date_gmt":"2023-09-17T11:03:43","guid":{"rendered":"https:\/\/mathority.org\/ko\/%ec%a0%84%eb%a0%a5-%ec%a0%84%ec%9c%84-%ed%95%a8%ec%88%98%ec%9d%98-%eb%af%b8%eb%b6%84\/"},"modified":"2023-09-17T11:03:43","modified_gmt":"2023-09-17T11:03:43","slug":"%ec%a0%84%eb%a0%a5-%ec%a0%84%ec%9c%84-%ed%95%a8%ec%88%98%ec%9d%98-%eb%af%b8%eb%b6%84","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%ec%a0%84%eb%a0%a5-%ec%a0%84%ec%9c%84-%ed%95%a8%ec%88%98%ec%9d%98-%eb%af%b8%eb%b6%84\/","title":{"rendered":"\uac70\ub4ed\uc81c\uacf1(\ub610\ub294 \uc7a0\uc7ac\uc801 \ud568\uc218)\uc758 \ud30c\uc0dd"},"content":{"rendered":"<p>\uc5ec\uae30\uc5d0\uc11c\ub294 \uac70\ub4ed\uc81c\uacf1(\ub610\ub294 \uc7a0\uc7ac \ud568\uc218)\uc744 \uc720\ub3c4\ud558\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud558\uace0, \uac70\ub4ed\uc81c\uacf1\uc758 \ud30c\uc0dd \uacf5\uc2dd\uacfc \uba87 \uac00\uc9c0 \uc608\ub97c \ucc3e\uc744 \uc218 \uc788\uc73c\uba70, \ub2e8\uacc4\ubcc4\ub85c \uc5f0\uc2b5\ubb38\uc81c\ub97c \ud480\uc5b4 \uc5f0\uc2b5\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-derivada-de-una-potencia\"><\/span> \uac70\ub4ed\uc81c\uacf1\uc758 \ubbf8\ubd84 \uacf5\uc2dd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\uac70\ub4ed\uc81c\uacf1 \ub610\ub294 \uc804\uc704 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 \uac70\ub4ed\uc81c\uacf1\uc758 \uc9c0\uc218\uc5d0 \ubc11\uc758 \ub3c4\ud568\uc218\ub97c \ube80 \uc9c0\uc218\uc5d0\uc11c \ubc11\uc758 \ub3c4\ud568\uc218\uc758 1\uc744 \uacf1\ud55c \uac12\uc785\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-54482f54c568a1e8f0e5706dd9ea1f58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=u^k \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=k\\cdot u^{k-1}\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"383\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \ubc11\uc774 <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u1109\u1175\u11ab\u110b\u116f\u11ab-\u1100\u1175\u1102\u1173\u11bc\/\">\ud56d\ub4f1 \ud568\uc218<\/a><\/span> \uc778 \uacbd\uc6b0 \uac70\ub4ed\uc81c\uacf1\uc744 \uc5bb\uc73c\ub824\uba74 \ud568\uc218\uc5d0 \uc9c0\uc218\ub97c \uacf1\ud558\uace0 \uc9c0\uc218\uc5d0\uc11c \ud55c \ub2e8\uc704\ub97c \ube7c\uba74 \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-46eb5b8a4c6968ca5e37af417fd2fb31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^k \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=k\\cdot x^{k-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"355\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc2e4\uc81c\ub85c \ud56d\ub4f1\ud568\uc218\uc758 \ubbf8\ubd84\uc740 1\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \uc694\uc57d\ud558\uc790\uba74, \uc7a0\uc7ac \ud568\uc218\ub97c \ub3c4\ucd9c\ud558\ub824\uba74 \ub450 \uac00\uc9c0 \uacf5\uc2dd\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uccab \ubc88\uc9f8\ub294 \ud56d\uc0c1 \uc0ac\uc6a9\ud560 \uc218 \uc788\uace0 \ub450 \ubc88\uc9f8\ub294 \ubc11\uc774 x\uc77c \ub54c\ub9cc \uc801\uc6a9\ud560 \uc218 \uc788\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-dune-puissance.webp\" alt=\"\ud798\uc5d0\uc11c \ud30c\uc0dd\ub41c\" class=\"wp-image-1760\" width=\"354\" height=\"264\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \uc6b0\ub9ac\ub294 \uac70\ub4ed\uc81c\uacf1\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud574 \uc81c\uc2dc\ub41c \uccab \ubc88\uc9f8 \uacf5\uc2dd\uc774 \ub450 \ubc88\uc9f8 \uacf5\uc2dd\uacfc \uac19\uc9c0\ub9cc \uccb4\uc778 \uaddc\uce59\uc744 \uc801\uc6a9\ud55c\ub2e4\ub294 \uac83\uc744 \uc27d\uac8c \ud655\uc778\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \uc774 \uacf5\uc2dd\uc740 \ubcc0\uc218\uac00 \uac70\ub4ed\uc81c\uacf1\uc778 \uacbd\uc6b0\uc5d0\ub9cc \uc0ac\uc6a9\ud560 \uc218 \uc788\uc73c\uba70, x\uac00 \ubd84\ubaa8\uc5d0 \uc788\ub294 \uacbd\uc6b0 \uc9c0\uc218 \ud568\uc218\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uaddc\uce59\uc744 \uc801\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uc870:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u110c\u1175\u1109\u116e-\u1112\u1161\u11b7\u1109\u116e\u110b\u1174-\u1106\u1175\u1107\u116e\u11ab\/\">\uc9c0\uc218 \ud568\uc218\uc758 \ubbf8\ubd84<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-derivadas-de-potencias\"><\/span> \uac70\ub4ed\uc81c\uacf1 \ubbf8\ubd84\uc758 \uc608<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc7a0\uc7ac \ud568\uc218\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uacf5\uc2dd\uc744 \ubcf8 \ud6c4\uc5d0\ub294 \uac70\ub4ed\uc81c\uacf1\uc774 \uc5b4\ub5bb\uac8c \ub3c4\ucd9c\ub418\ub294\uc9c0 \uc774\ud574\ud560 \uc218 \uc788\ub3c4\ub85d \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uba87 \uac00\uc9c0 \uc608\ub97c \uc124\uba85\ud560 \uac83\uc785\ub2c8\ub2e4. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-de-una-potencia-de-base-x\"><\/span> \uc608 1: \uae30\ubcf8 \uac70\ub4ed\uc81c\uacf1 x\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-1a77d84e8f9a9d165a989ae8edd67a7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc774\uc804 \uc139\uc158\uc5d0\uc11c \uc124\uba85\ud588\ub4ef\uc774 \uac70\ub4ed\uc81c\uacf1\uc758 \ubc11\uc774 x\uc77c \ub54c \ud568\uc218\ub97c \ub3c4\ucd9c\ud558\uae30 \uc704\ud574 \uc0ac\uc6a9\ud574\uc57c \ud558\ub294 \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-46eb5b8a4c6968ca5e37af417fd2fb31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^k \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=k\\cdot x^{k-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"355\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c 4\uc758 \uac70\ub4ed\uc81c\uacf1 x\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-b4f99a41ebf24ffb9dc9d375925fbb03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^4 \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=4\\cdot x^{4-1}=4x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"404\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-de-una-potencia-con-parentesis\"><\/span> \uc608 2: \uad04\ud638\ub97c \uc0ac\uc6a9\ud55c \uac70\ub4ed\uc81c\uacf1\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-c7e7bcf1cc01f1609b200eb0707450f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(2x-1)^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"129\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc774 \uc608\uc5d0\uc11c \ubc11\uc740 \ud56d\ub4f1 \ud568\uc218\uac00 \uc544\ub2c8\ubbc0\ub85c \uac70\ub4ed\uc81c\uacf1\uc758 \ub3c4\ud568\uc218\uc5d0 \ub300\ud55c \uc77c\ubc18 \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-54482f54c568a1e8f0e5706dd9ea1f58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=u^k \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=k\\cdot u^{k-1}\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"383\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uad04\ud638 \uc548\uc758 \ud568\uc218\ub294 \uc120\ud615 \ud568\uc218\uc774\ubbc0\ub85c \uadf8 \ub3c4\ud568\uc218\ub294 2\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc804\uccb4 \uc804\uc704 \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-8b3fb5d76dac22c3fad5ebe3a0cae630_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(2x-1)^5 \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=5\\cdot (2x-1)^4\\cdot 2=10(2x-1)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"577\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-de-una-potencia-negativa\"><\/span> \uc608\uc2dc 3: \uc74c\uc758 \uac70\ub4ed\uc81c\uacf1\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-0bb49a61d47e399ec84ffddce840b4a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(\\log 9x)^{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc774 \uacbd\uc6b0 \uc9c0\uc218\uac00 \uc74c\uc218\uc774\uace0 \ubc11\uc774 \ub85c\uadf8\uc778 \uc7a0\uc7ac\uc801 \ud568\uc218\uac00 \uc788\uc73c\ubbc0\ub85c \ub2e4\uc74c \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud568\uc218\ub97c \ucc28\ubcc4\ud654\ud569\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-54482f54c568a1e8f0e5706dd9ea1f58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=u^k \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=k\\cdot u^{k-1}\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"383\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uac70\ub4ed\uc81c\uacf1 \uc9c0\uc218\uac00 \uc74c\uc218\uc774\ub354\ub77c\ub3c4 \uadf8 \uc9c0\uc218\uc5d0\uc11c 1\uc744 \ube7c\uc57c \ud569\ub2c8\ub2e4. \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-b883e28fe86b43bae53225fbfc0989c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=-2\\cdot (\\log 9x)^{-3}\\cdot \\cfrac{1}{9x\\cdot \\ln 10}\\cdot 9 =\\cfrac{-2(\\log 9x)^{-3}}{x\\ln 10}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"412\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \ud574\ubc95\uc5d0 \ub300\ud574 \uc758\ubb38\uc774 \uc788\ub294 \uacbd\uc6b0 \uc5ec\uae30\uc5d0\uc11c \ub85c\uadf8 \ud568\uc218\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \ucc38\uc870\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\/\u1105\u1169\u1100\u1173-\u1112\u1161\u11b7\u1109\u116e\u110b\u1174-\u1106\u1175\u1107\u116e\u11ab-\u1102\u1166\u1111\u1166\u1105\u1175\u110b\u1161\u11ab-\u110c\u1161\u110b\u1167\u11ab-\u1105\u1169\u1100\u1173\/\">\ub85c\uadf8 \ud568\uc218\uc758 \ubbf8\ubd84<\/a><\/span> <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-4-derivada-de-una-potencia-con-raiz\"><\/span> \uc608 4: \uadfc\uc774 \uc788\ub294 \uac70\ub4ed\uc81c\uacf1\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-74c457eaa374d11591afb05c08c79a2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[3]{(5x+2)^7}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"149\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> \uc774 \uc608\uc758 \ud568\uc218\ub294 \uc815\uaddc\uc2dd \ub0b4\uc758 \uac70\ub4ed\uc81c\uacf1\uc785\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uadfc\ud638\ub294 \uc804\uc704 \ud45c\ud604\uc2dd\uc73c\ub85c \ubcc0\ud658\ub420 \uc218 \uc788\uc73c\ubbc0\ub85c \ubd84\uc218 \uc9c0\uc218\uac00 \uc788\ub294 \uc804\uc704 \ud568\uc218\ub85c \ubcc0\ud658\ud558\uc5ec \ud568\uc218\ub97c \ub2e8\uc21c\ud654\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-a851a10c275664fd40272c3f18ebb696_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(5x+2)^{\\frac{7}{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"129\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uc774\uc81c \ubcc0\uc218 \uac70\ub4ed\uc81c\uacf1\uc758 \ubbf8\ubd84 \uacf5\uc2dd\uc744 \uc801\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-54482f54c568a1e8f0e5706dd9ea1f58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=u^k \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad f'(x)=k\\cdot u^{k-1}\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"383\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \ud30c\uc0dd\ubb3c\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-48032a3f39b346214870d2930c0e070f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=\\cfrac{7}{3}\\cdot (5x+2)^{\\frac{7}{3}-1} \\cdot 5=\\cfrac{35}{3}(5x+2)^{\\frac{4}{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"314\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \uadfc\ubbf8\ubd84 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc774\ub7ec\ud55c \uc720\ud615\uc758 \ud568\uc218\ub97c \uad6c\ubcc4\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\ucc38\uc870:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ko\/\u1100\u1173\u11b8\u110c\u1175\u11ab\u110c\u1165\u11a8-\u1106\u116e\u1105\u1175\u1109\u116e-\u1100\u1173\u11ab-\u1112\u1161\u11b7\u1109\u116e\u110b\u1174-\u1111\u1161\u1109\u1162\u11bc\u1106\u116e\u11af\/\">\ub8e8\ud2b8\uc5d0\uc11c \ud30c\uc0dd\ub428<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-de-una-potencia\"><\/span> \uac70\ub4ed\uc81c\uacf1\uc758 \ubbf8\ubd84\uc5d0 \ub300\ud55c \ud574\uacb0 \uc5f0\uc2b5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ub2e4\uc74c \uac70\ub4ed\uc81c\uacf1\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-8439a4f480db3b28403219b3d6c617c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f(x)=x^8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"101\" 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-586b1cce6da03d26fc251a34f15b8713_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f(x)=3x^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"110\" 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-2048513ae93bb32ac7333db56114f8f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } f(x)=-2x^{-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" 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-61b9db052aa145257ef92ac543621b69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f(x)=(3x^2-4x)^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"173\" 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-234c4c2a85b56e062d186e33461534c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f(x)=6(x^2+10)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"170\" 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-888598e68e596f15e1e4b585c2287c4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f(x)=\\cfrac{1}{(9x+2)^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"156\" 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-bc2353357a484e175ac77e99e4446cb4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{G) } f(x)=\\sqrt{4x^5}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"127\" 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-3e21d4a7733a95b407d4a53114146489_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{H) } \\displaystyle f(x)=\\left(x^2-4x+\\frac{1}{3}\\right)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"210\" 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-c04e44f3e248cec297f4476885e22a25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{I) } f(x)=\\text{sen}^3(6-2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"172\" 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-32e3eaeb51430921053c75da627cacd4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) } f'(x)=8x^7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"115\" 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-44e8de4cfb9cb267005e390e06c393e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) } f'(x)=15x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"123\" 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-4394259c55b711c8668f4d72e3bd4766_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) } f'(x)=8x^{-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"125\" 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-8a916b5238f094595e63d04a86303a7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) } f'(x)=6(3x^2-4x)^5\\cdot (3x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"262\" 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-698c94329d2e6edc002bf2b99d4de74e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) } f'(x)=3\\cdot 6(x^2+10)^2 \\cdot 2x=36x(x^2+10)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"358\" 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-b2c94d0e23facd72c3a85241bfc4552a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) } f'(x)=-3\\cdot (9x+2)^{-4}\\cdot 9 =-27(9x+2)^{-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"363\" 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-9f488aced09f0e560280f5ce55a1b002_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{G) } f'(x)=\\cfrac{5}{2}\\cdot 2x^{\\frac{5}{2}-1} =5x^{\\frac{3}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"211\" 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-19d1d31c8415cb654940148ec1a25835_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{H) } \\displaystyle f'(x)=4\\left(x^2-4x+\\cfrac{1}{3}\\right)^3\\cdot (2x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"58\" width=\"303\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa9c91854971313e88fde0d535c5a6c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{I) } f'(x)=3\\text{sen}^2(6-2x)\\cdot \\text{cos}(6-2x)\\cdot (-2)=-6x\\cdot \\text{sen}^2(6-2x)\\cdot \\text{cos}(6-2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"599\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc5ec\uae30\uc5d0\uc11c\ub294 \uac70\ub4ed\uc81c\uacf1(\ub610\ub294 \uc7a0\uc7ac \ud568\uc218)\uc744 \uc720\ub3c4\ud558\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud558\uace0, \uac70\ub4ed\uc81c\uacf1\uc758 \ud30c\uc0dd \uacf5\uc2dd\uacfc \uba87 \uac00\uc9c0 \uc608\ub97c \ucc3e\uc744 \uc218 \uc788\uc73c\uba70, \ub2e8\uacc4\ubcc4\ub85c \uc5f0\uc2b5\ubb38\uc81c\ub97c \ud480\uc5b4 \uc5f0\uc2b5\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \uac70\ub4ed\uc81c\uacf1\uc758 \ubbf8\ubd84 \uacf5\uc2dd \uac70\ub4ed\uc81c\uacf1 \ub610\ub294 \uc804\uc704 \ud568\uc218\uc758 \ub3c4\ud568\uc218\ub294 \uac70\ub4ed\uc81c\uacf1\uc758 \uc9c0\uc218\uc5d0 \ubc11\uc758 \ub3c4\ud568\uc218\ub97c \ube80 \uc9c0\uc218\uc5d0\uc11c \ubc11\uc758 \ub3c4\ud568\uc218\uc758 1\uc744 \uacf1\ud55c \uac12\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ubc11\uc774 \ud56d\ub4f1 \ud568\uc218 \uc778 \uacbd\uc6b0 \uac70\ub4ed\uc81c\uacf1\uc744 \uc5bb\uc73c\ub824\uba74 \ud568\uc218\uc5d0 \uc9c0\uc218\ub97c \uacf1\ud558\uace0 \uc9c0\uc218\uc5d0\uc11c \ud55c \ub2e8\uc704\ub97c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%ec%a0%84%eb%a0%a5-%ec%a0%84%ec%9c%84-%ed%95%a8%ec%88%98%ec%9d%98-%eb%af%b8%eb%b6%84\/\"> <span class=\"screen-reader-text\">\uac70\ub4ed\uc81c\uacf1(\ub610\ub294 \uc7a0\uc7ac\uc801 \ud568\uc218)\uc758 \ud30c\uc0dd<\/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-31","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This site is optimized 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