{"id":39,"date":"2023-09-17T10:58:59","date_gmt":"2023-09-17T10:58:59","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e6%8e%a5%e7%b7%9a%e6%96%b9%e7%a8%8b%e5%bc%8f\/"},"modified":"2023-09-17T10:58:59","modified_gmt":"2023-09-17T10:58:59","slug":"%e6%8e%a5%e7%b7%9a%e6%96%b9%e7%a8%8b%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e6%8e%a5%e7%b7%9a%e6%96%b9%e7%a8%8b%e5%bc%8f\/","title":{"rendered":"\u63a5\u7dda\u65b9\u7a0b\u5f0f"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u66f2\u7dda\u306e<strong>\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3092<\/strong>\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3055\u307e\u3056\u307e\u306a\u96e3\u6613\u5ea6\u306e\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ecuacion-de-la-recta-tangente-a-una-funcion-en-un-punto\"><\/span>\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\">\u70b9 x=x <sub>0<\/sub>\u306b\u304a\u3051\u308b\u95a2\u6570 f(x) \u306e<strong>\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u6b21<\/strong>\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/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-326424811181144df35c0b94ce50c462_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y -y_0= m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p align=\"LEFT\">\u3053\u3053\u3067\u3001\u70b9 P(x <sub>0<\/sub> ,y <sub>0<\/sub> ) \u306f\u3001\u63a5\u7dda\u3068\u95a2\u6570\u304c\u4e00\u81f4\u3059\u308b\u70b9\u3067\u3059\u3002\u305d\u3057\u3066\u3001\u63a5\u7dda\u306e\u50be\u304d m \u306f\u3001\u70b9 x <sub>0<\/sub>\u306b\u304a\u3051\u308b\u66f2\u7dda\u306e\u5c0e\u95a2\u6570\u3001\u3064\u307e\u308a m=f'(x <sub>0<\/sub> ) \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 <\/p>\n<\/div>\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\/equation-de-la-tangente-ligne.webp\" alt=\"\u63a5\u7dda\u65b9\u7a0b\u5f0f\" class=\"wp-image-2306\" width=\"463\" height=\"461\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4e0a\u306e\u753b\u50cf\u3067\u306f\u66f2\u7dda\u304c\u898b\u3048\u307e\u3059<\/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-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u9752\u3068\u95a2\u6570\u306b\u63a5\u3059\u308b\u30aa\u30ec\u30f3\u30b8\u8272\u306e\u7dda\u3067\u8868\u3055\u308c\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306b\u3064\u3044\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd5304ac1643ba3660a7efa36ade1983_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"51\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u3001\u3053\u306e\u70b9\u3057\u304b\u5171\u901a\u70b9\u304c\u306a\u3044\u304b\u3089\u3067\u3059\u3002\u3055\u3066\u3001\u3053\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-326424811181144df35c0b94ce50c462_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y -y_0= m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u3001\u305d\u306e\u50be\u304d\u306f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c606eb4b268b71562672c32a0461053_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hallar-la-ecuacion-de-la-recta-tangente\"><\/span>\u63a5\u7dda\u65b9\u7a0b\u5f0f\u306e\u6c42\u3081\u65b9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u6b21\u306e\u64cd\u4f5c\u3092\u884c\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\u63a5\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3057\u3066\u3001\u63a5\u7dda\u306e\u50be\u304d\u3092\u6c42\u3081\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\u63a5\u7dda\u4e0a\u306e\u70b9\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u8a08\u7b97\u3055\u308c\u305f\u50be\u304d\u3068\u63a5\u7dda\u306e\u70b9\u3092\u4f7f\u7528\u3057\u3066<strong>\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u307e\u3059<\/strong>\u3002<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-ecuacion-de-la-recta-tangente-a-una-curva\"><\/span>\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u63a5\u7dda\u65b9\u7a0b\u5f0f\u306e\u7406\u8ad6\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u4f8b\u3092\u6bb5\u968e\u7684\u306b\u89e3\u3044\u3066\u63a5\u7dda\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ea8efcaacce7a90d3cc483105986c47c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"108\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306b\u3064\u3044\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3330a01aa4d7d81947b71297d8623d3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3002<\/li>\n<\/ul>\n<p>\u63a5\u7dda\u65b9\u7a0b\u5f0f\u306f\u5e38\u306b\u6b21\u306e\u5f62\u5f0f\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u307e\u3059\u3002<\/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-326424811181144df35c0b94ce50c462_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y -y_0= m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u521d\u306b\u884c\u3046\u3053\u3068\u306f\u3001\u7dda\u306e\u50be\u304d\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u63a5\u7dda\u306e\u50be\u304d\u306f\u3001<\/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-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u3001\u63a5\u7dda x=1 \u306b\u304a\u3051\u308b\u66f2\u7dda\u306e\u5c0e\u95a2\u6570\u306e\u5024\u306b\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a69005ee8bf2d80d73b989ad0cedccd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(1).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u3092\u5fae\u5206\u3057\u3066\u304b\u3089\u8a08\u7b97\u3057\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb68a498d3bd60e51d3dc230691f886c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(1):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" 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-92c9a5ee4068789701733f793fbac622_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+x \\quad \\longrightarrow \\quad f'(x)=2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"293\" 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-d96270e9b7d7c3cae8baea602cea53bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(1)= 2\\cdot 1+1=2+1=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"218\" 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-2443a93bff265c6b8ba692ef8d14f633_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(1)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"110\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u306e\u4fa1\u5024\u304c\u308f\u304b\u3063\u305f\u3089\u3001<\/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-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u3001\u70b9\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e531a80c13865d1ad612bd3f634efa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x_0,y_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"54\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u63a5\u7dda\u306e\u5f0f\u3092\u5b8c\u6210\u3055\u305b\u307e\u3059\u3002<\/p>\n<p><strong>\u63a5\u7dda\u3068\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u306f\u5e38\u306b\u5171\u901a\u70b9\u304c\u3042\u308a<\/strong>\u3001\u3053\u306e\u5834\u5408\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-3330a01aa4d7d81947b71297d8623d3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u3002\u3057\u305f\u304c\u3063\u3066\u3001\u66f2\u7dda\u306e\u3088\u3046\u306b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3053\u306e\u70b9\u3092\u901a\u904e\u3059\u308b\u3068\u3001\u8a08\u7b97\u306b\u3088\u3063\u3066\u70b9\u306e\u4ed6\u306e\u6210\u5206\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32045357853caad8774629c95963835d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" 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-ea8efcaacce7a90d3cc483105986c47c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"108\" 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-7b2601f20b100f2635bc0342175b4627_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=1^2+1=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"136\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u63a5\u70b9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/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-d26257abb9047188ab3e3887f447e20a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u66f2\u7dda\u3068\u63a5\u7dda\u306e\u4e21\u65b9\u304c\u3053\u306e\u70b9\u3092\u901a\u904e\u3059\u308b\u305f\u3081\u3001\u3053\u308c\u3092\u4f7f\u7528\u3057\u3066\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u6b8b\u3063\u3066\u3044\u308b\u306e\u306f\u3001\u898b\u3064\u304b\u3063\u305f\u50be\u304d\u3068\u63a5\u7dda\u306e\u5024\u3092\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3060\u3051\u3067\u3059\u3002<\/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-0321e19825c08a1f47a00b2cf625088f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} y -y_0= m(x-x_0) \\\\[3ex] m=3 \\qquad P(1,2) \\end{array} \\right\\} \\longrightarrow \\ y -2= 3(x-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"344\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3064\u307e\u308a\u3001\u63a5\u7dda\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/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-037e5c42a4adef3e5ba970a66b8d3459_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y-2=3(x-1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<hr class=\"wp-block-separator has-text-color has-background is-style-wide\" style=\"background-color:#1976d2;color:#1976d2\">\n<p>\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u660e\u793a\u7684\u306a\u7dda\u306e\u65b9\u7a0b\u5f0f\u3067\u8868\u3059\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/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-59097f2ef899c7c608e2527467021b23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y=3x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"82\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<hr class=\"wp-block-separator has-text-color has-background is-style-wide\" style=\"background-color:#1976d2;color:#1976d2\">\n<p>\u4ee5\u4e0b\u306b\u66f2\u7dda\u3092\u793a\u3057\u307e\u3059\u3002<\/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-ea8efcaacce7a90d3cc483105986c47c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"108\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3068\u305d\u306e\u63a5\u7dda<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e2883f0b53c531552fde7ff189f83165_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"47\" style=\"vertical-align: -4px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1020651b62576571e0ac9c0cb65dd287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-2=3(x-1):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\/equation-de-la-tangente-a-une-courbe-en-un-point.webp\" alt=\"\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\" class=\"wp-image-2318\" width=\"445\" height=\"434\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u66f2\u7dda\u3067\u3059<\/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-ea8efcaacce7a90d3cc483105986c47c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"108\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u305d\u3057\u3066\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cb3f64ce416f3a5c6cc80c11cae9afb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-2=3(x-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5f7c\u3089\u306b\u306f\u5171\u901a\u70b9\u304c\u3042\u308b\u3060\u3051\u3060<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42a32282c97c3b8d9f90b2f1418844d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3001\u8a08\u7b97\u3069\u304a\u308a\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-ecuacion-de-la-recta-tangente\"><\/span>\u6b63\u63a5\u65b9\u7a0b\u5f0f\u306e\u6f14\u7fd2\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/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-99f623c4fede3b664682c5cbc1aab81d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x^2-4x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306b\u3064\u3044\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71e6033606cd14039ab202fb7a18c50e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2 .\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u63a5\u7dda\u65b9\u7a0b\u5f0f\u306f\u5e38\u306b\u6b21\u306e\u5f62\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/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-3441e1da8c7da5805b1133af77b14f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_0=m(x-x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"><strong>\u30b9\u30c6\u30c3\u30d7 1: \u63a5\u7dda\u306e\u50be\u304d\u3092\u8a08\u7b97\u3059\u308b<\/strong><\/p>\n<p class=\"has-text-align-left\">\u50be\u304d<em>m<\/em>\u306f\u3001\u66f2\u7dda\u306e\u63a5\u70b9\u306b\u304a\u3051\u308b\u5c0e\u95a2\u6570\u306e\u5024\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5834\u5408\u3001 <\/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-c7192bf7bd4300d7d77fe084134d6849_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = f'(2):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"86\" 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-ab9e97205d5c9f2fbfcb085cbfdbdd75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x^2-4x+3 \\ \\longrightarrow \\ f'(x)= 4x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"319\" 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-e3cb482f7e68631c8dcc5705ac1257d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(2)= 4\\cdot 2-4=8-4=4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"218\" 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-b0e7f5cd5a44a120769c9d3a1eae02c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(2)=4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"110\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"><strong>\u30b9\u30c6\u30c3\u30d7 2: \u63a5\u7dda\u4e0a\u306e\u70b9\u3092\u898b\u3064\u3051\u308b<\/strong><\/p>\n<p class=\"has-text-align-left\">\u63a5\u7dda\u3068\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u306f\u5e38\u306b\u5171\u901a\u70b9\u304c\u3042\u308a\u3001\u3053\u306e\u5834\u5408\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-c657687cbbf5ea9a7545edb42190e592_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u3002\u3057\u305f\u304c\u3063\u3066\u3001\u66f2\u7dda\u306e\u3088\u3046\u306b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3053\u306e\u70b9\u3092\u901a\u904e\u3059\u308b\u3068\u3001\u8a08\u7b97\u306b\u3088\u3063\u3066\u70b9\u306e\u4ed6\u306e\u6210\u5206\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f026e401162db03299777455b748b308_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" 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-99f623c4fede3b664682c5cbc1aab81d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x^2-4x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"156\" 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-67ff5b86b2842fefbdf2ddc7c2df39f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2)=2\\cdot 2^2-4\\cdot 2+3 =2 \\cdot 4 -8 +3 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"326\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u66f2\u7dda\u3068\u63a5\u7dda\u306e\u4e21\u65b9\u304c\u901a\u904e\u3059\u308b\u70b9\u304c\u70b9\u306b\u306a\u308a\u307e\u3059\u3002<\/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-d744fa34f41ed1bbe3fdf2c5ad7f55a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2,3).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"><strong>\u30b9\u30c6\u30c3\u30d7 3: \u63a5\u7dda\u65b9\u7a0b\u5f0f\u3092\u66f8\u304f<\/strong><\/p>\n<p class=\"has-text-align-left\">\u6b8b\u3063\u3066\u3044\u308b\u306e\u306f\u3001\u898b\u3064\u304b\u3063\u305f\u50be\u304d\u3068\u63a5\u7dda\u306e\u5024\u3092\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3060\u3051\u3067\u3059\u3002<\/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-1622c6ecd4d43bb4fc4901b437464652_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} y -y_0= m(x-x_0) \\\\[3ex] m=4 \\qquad P(2,3) \\end{array} \\right\\} \\longrightarrow \\ y -3= 4(x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"344\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u63a5\u7dda\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/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-c1233301c390a75095fc24bd8765e081_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y -3= 4(x-2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" 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\">\u6f14\u7fd2 2<\/h3>\n<p>\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/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-d1309dcf6b647174b562cb71ab600c1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=-3x^2+2x\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"139\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5ea7\u6a19\u306e\u539f\u70b9\u306b\u3042\u308a\u307e\u3059\u3002 <\/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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5ea7\u6a19\u306e\u539f\u70b9\u306f\u70b9\u3092\u6307\u3057\u307e\u3059<\/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-d5f3123d35179a39bd727675fca259c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,0).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u70b9\u3067\u306e\u95a2\u6570\u306e\u63a5\u7dda\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-791f3561f68c75b943d5af446c9f988f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,0) .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u5ea7\u6a19\u306e\u539f\u70b9\u3067\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3057\u3066\u3001\u63a5\u7dda\u306e\u50be\u304d\u306e\u5024\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 <\/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-e3f5e3bd3a06eb5e2831d90e5fc0f31d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-3x^2+2x \\ \\longrightarrow \\  f'(x)= -6x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"315\" 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-d07228d62a796c695cb75841830d0e17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(0)= -6\\cdot 0+2=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"168\" 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-075eebc763002b84e54211e61242356f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(0)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u63a5\u7dda\u304c\u901a\u904e\u3059\u308b\u70b9\u306f\u3059\u3067\u306b\u308f\u304b\u3063\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u306f\u3001\u76f4\u7dda\u304c\u5ea7\u6a19\u306e\u539f\u70b9\u3001\u3064\u307e\u308a\u70b9\u3067\u66f2\u7dda\u306b\u63a5\u3057\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u308b\u305f\u3081\u3067\u3059\u3002<\/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-d5f3123d35179a39bd727675fca259c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,0).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u66f2\u7dda\u3068\u63a5\u7dda\u304c\u5171\u6709\u3059\u308b\u70b9\u304c\u70b9\u3067\u3059<\/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-d5f3123d35179a39bd727675fca259c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,0).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u898b\u3064\u304b\u3063\u305f\u50be\u304d\u3068\u63a5\u7dda\u306e\u5024\u3092\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3060\u3051\u3067\u3059\u3002<\/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-de8e4e9dbb7a5bca1d591612abcf7730_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} y -y_0= m(x-x_0) \\\\[3ex] m=2 \\qquad P(0,0) \\end{array} \\right\\} \\longrightarrow \\ y -0= 2(x-0)\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"344\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7d50\u8ad6\u3068\u3057\u3066\u3001\u63a5\u7dda\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/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-19b9a613ed0c41d6c98ab37c6a0a1331_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y -0= 2(x-0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" 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-329a7fc0d44a0b32cbb521e81ee50db6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y = 2x}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"52\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p>\u66f2\u7dda\u306e\u63a5\u7dda\u3092\u8a08\u7b97\u3057\u307e\u3059<\/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-33130a168a4e20b536fb742b8ce2a662_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-2x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u53f3\u306b\u5e73\u884c\u306a\u3082\u306e\u306f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b4e35094bc85458a54e2b47228f9c39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-4x-6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3002 <\/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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u554f\u984c\u3067\u306f\u3001\u63a5\u7dda\u306f\u76f4\u7dda\u306b\u5e73\u884c\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3068\u8a00\u308f\u308c\u3066\u3044\u307e\u3059\u3002<\/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-02c5cab1d3747c5baa1ded66f3055f61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-4x-6=0 .\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"117\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u305d\u3057\u3066\u30012 \u672c\u306e\u76f4\u7dda\u306e\u50be\u304d\u304c\u540c\u3058\u3067\u3042\u308c\u3070\u5e73\u884c\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u63a5\u7dda\u306f\u76f4\u7dda\u3068\u540c\u3058\u50be\u304d\u3092\u6301\u3064\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3dee6df2aaaef2e062c41a79057de62e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-4x-6=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"117\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u308c\u306f\u3001\u7dda\u306e\u50be\u304d\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059<\/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-02c5cab1d3747c5baa1ded66f3055f61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-4x-6=0 .\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"117\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5909\u6570\u3092\u30af\u30ea\u30a2\u3057\u3066\u6b21\u306e\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/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-6390ce01aebdda3a7305c4dd1e55d4aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-4x-6=0 \\ \\longrightarrow \\ y =4x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"246\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u7dda\u306e\u50be\u304d\u306f<\/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-824b16de72dde879834460d93bd88610_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=4x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"82\" style=\"vertical-align: -4px;\"><\/p>\n<p>y \u304c\u660e\u78ba\u306a\u5834\u5408\u3001\u7dda\u306e\u50be\u304d\u306f x \u3092\u4e57\u7b97\u3059\u308b\u6570\u5024\u3067\u3042\u308b\u305f\u3081\u3001 \u306f 4 \u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u63a5\u7dda\u306e\u50be\u304d\u3082 4 \u3067\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u63a5\u7dda\u304c\u5e73\u884c\u3067\u3042\u308b\u305f\u3081\u306b\u306f\u3001\u540c\u3058\u50be\u304d\u3092\u6301\u3064\u5fc5\u8981\u304c\u3042\u308b\u304b\u3089\u3067\u3059\u3002<\/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-e5072b7479ca854c5e3cdea8ffff2c0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u66f2\u7dda\u3068\u63a5\u7dda\u306e\u9593\u306e\u63a5\u70b9\u306f\u308f\u304b\u308a\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u66f2\u7dda\u306e\u63a5\u70b9\u306b\u304a\u3051\u308b\u5c0e\u95a2\u6570\u306f\u63a5\u7dda\u306e\u50be\u304d\u306b\u7b49\u3057\u3044\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u307e\u3059\u3002<\/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-5c606eb4b268b71562672c32a0461053_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u3002\u3055\u3066\u3001\u3069\u3046\u3084\u3063\u3066\u305d\u306e\u4fa1\u5024\u3092\u77e5\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u3001\u65b9\u7a0b\u5f0f\u304b\u3089 x <sub>0<\/sub>\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f79089d702fc8e5b6b7342c0eb2f0c68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(x_0):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"95\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u307e\u305a\u6b21\u306e\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/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-40e51e628d64bea41578e16139b71b6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" 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-ac4abafb3c879a6fd9c906ff9eea94d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= x^2-2x-1 \\ \\longrightarrow \\ f'(x)=2x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"309\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u4eca\u3001\u79c1\u305f\u3061\u306f\u89e3\u6c7a\u3057\u307e\u3059<\/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-5c606eb4b268b71562672c32a0461053_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u77e5\u3063\u3066\u3044\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-421352ccc778c624805a5e2663bb7077_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = 4 :\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"57\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f99f5b23457229b93eb24c214942f41f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m =f'(x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" 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-6a9fc1e268bfa17b6fe04e5fafbaaedc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4 =2(x_0)-2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" 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-74d7e6af89f911f5a194fee138e70afa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4+2 =2x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"89\" style=\"vertical-align: -3px;\"><\/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-96c892854007fa06281252d3fcc3ae4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6 =2x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"59\" style=\"vertical-align: -3px;\"><\/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-9602ea885075b53499286a5126ad9724_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{6}{2} =x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"49\" 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-f2fb028e2d1cb1011436226f865d5162_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3=x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"50\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u70b9\u306e x \u5ea7\u6a19\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u6b21\u306e\u8a08\u7b97\u306b\u3088\u3063\u3066\u70b9\u306e\u4ed6\u306e\u5ea7\u6a19\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/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-4763abfc9310baf690c4bb81c5d8b743_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" 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-9e36063894754424dc75ff41070c42ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=3^2-2\\cdot 3-1= 9-6-1=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u66f2\u7dda\u3068\u63a5\u7dda\u306e\u4e21\u65b9\u304c\u901a\u904e\u3059\u308b\u70b9\u304c\u70b9\u306b\u306a\u308a\u307e\u3059\u3002<\/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-a3558010337a7cdc27dddb44c10f0df1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,2).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b8b\u3063\u3066\u3044\u308b\u306e\u306f\u3001\u898b\u3064\u304b\u3063\u305f\u50be\u304d\u3068\u63a5\u7dda\u306e\u5024\u3092\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3060\u3051\u3067\u3059\u3002<\/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-8f1f49e9bef505c5c71cffd15f0d29d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} y -y_0= m(x-x_0) \\\\[3ex] m=4 \\qquad P(3,2) \\end{array} \\right\\} \\longrightarrow \\ y -2= 4(x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"344\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/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-89b6fd61abd22d30db13453334da7135_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y -2=4(x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" 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\">\u6f14\u7fd2 4<\/h3>\n<p>\u66f2\u7dda\u306e\u63a5\u7dda\u3092\u8a08\u7b97\u3057\u307e\u3059<\/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-ab7fb2898ec2a42b558f032b99518338_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x^2+5x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<p>X \u8ef8\u3068 45 \u5ea6\u306e\u89d2\u5ea6\u3092\u5f62\u6210\u3057\u307e\u3059\u3002 <\/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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u554f\u984c\u6587\u306f\u3001\u63a5\u7dda\u304c X \u8ef8\u306b\u5bfe\u3057\u3066 45 \u5ea6\u306e\u89d2\u5ea6\u3092\u5f62\u6210\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u5834\u5408\u3001\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3057\u3066\u50be\u304d\u306e\u5024\u3092\u6c42\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/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-1e17ba52bc8d7a78aa6abe918856ba28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\text{tg}\\left(\\alpha\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" 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-c891eec41f7529fbb36d622027b94d46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\text{tg}\\left(45^{\\text{o}}\\right) = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"129\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u3067\u306f\u3001\u66f2\u7dda\u3068\u63a5\u7dda\u306e\u9593\u306e\u63a5\u70b9\u304c\u6307\u5b9a\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u63a5\u7dda\u70b9\u306b\u304a\u3051\u308b\u66f2\u7dda\u306e\u5c0e\u95a2\u6570\u306f\u63a5\u7dda\u306e\u50be\u304d\u306b\u7b49\u3057\u3044\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u307e\u3059\u3002<\/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-5c606eb4b268b71562672c32a0461053_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u3002\u3057\u305f\u304c\u3063\u3066\u3001\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u3067 x <sub>0<\/sub>\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f79089d702fc8e5b6b7342c0eb2f0c68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(x_0):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"95\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u307e\u305a\u6b21\u306e\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/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-40e51e628d64bea41578e16139b71b6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" 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-d757979ec817338abf9a0d50e4d8838d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x^2+5x+1\\ \\longrightarrow \\ f'(x)=4x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"318\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u4eca\u3001\u79c1\u305f\u3061\u306f\u89e3\u6c7a\u3057\u307e\u3059<\/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-5c606eb4b268b71562672c32a0461053_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=f'(x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u77e5\u3063\u3066\u3044\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32704d9853b0093395b41eb385ebb4e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = 1 :\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"57\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f99f5b23457229b93eb24c214942f41f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m =f'(x_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" 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-eec283acc7af9f75a48ed262d785d7f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1 =4(x_0)+5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" 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-4bcad96ea71d673fba2f814bffaee7c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1-5 =4x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"88\" style=\"vertical-align: -3px;\"><\/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-7638e49e3e5eab4f64f4dc439d458ec5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-4 =4x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"71\" style=\"vertical-align: -3px;\"><\/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-8561c7a3def54db216a8f1ebf2588e79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{-4}{4} =x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"71\" 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-64d0311d2aa3328e9ed1f2073e90e4bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1=x_0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"62\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u70b9\u306e x \u5ea7\u6a19\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u6b21\u306e\u8a08\u7b97\u306b\u3088\u3063\u3066\u70b9\u306e\u4ed6\u306e\u5ea7\u6a19\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/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-ab353a75f8c672950ea7d8376104722d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-1):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"56\" 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-33f491d7f9d0eeeb767d846b5650734f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-1)=2(-1)^2+5(-1)+1=2\\cdot 1  -5 + 1 = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"382\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u66f2\u7dda\u3068\u63a5\u7dda\u306e\u4e21\u65b9\u304c\u901a\u904e\u3059\u308b\u70b9\u304c\u70b9\u306b\u306a\u308a\u307e\u3059\u3002<\/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-d2ae436ead5cc58de912263561cfbe63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(-1,-2).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b8b\u3063\u3066\u3044\u308b\u306e\u306f\u3001\u898b\u3064\u304b\u3063\u305f\u50be\u304d\u3068\u63a5\u7dda\u306e\u5024\u3092\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3060\u3051\u3067\u3059\u3002<\/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-8ed772b3993de50c4c67631a6fd33040_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} y -y_0= m(x-x_0) \\\\[3ex] m=1 \\qquad P(-1,-2) \\end{array} \\right\\} \\longrightarrow \\ y -(-2)= 1(x-(-1))\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"414\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u6c42\u3081\u308b\u64cd\u4f5c\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002 <\/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-28409d87564a3385166261f1fe92c01e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y -(-2)=1(x-(-1))\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"182\" 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-9ebfc08d88b0dcf9c22ff7f225afdabf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y +2=1(x+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" 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-b1c1b9eabdc99bc1ff5b5e8cdb5baf94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y + 2=x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"103\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3055\u307e\u3056\u307e\u306a\u96e3\u6613\u5ea6\u306e\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 \u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f \u70b9 x=x 0\u306b\u304a\u3051\u308b\u95a2\u6570 f(x) \u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e6%8e%a5%e7%b7%9a%e6%96%b9%e7%a8%8b%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u63a5\u7dda\u65b9\u7a0b\u5f0f<\/span> \u3082\u3063\u3068\u8aad\u3080 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