{"id":26,"date":"2023-09-17T11:04:43","date_gmt":"2023-09-17T11:04:43","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%b9%b3%e5%9d%87%e5%a4%89%e5%8c%96%e7%8e%87%e3%81%a8%e7%9e%ac%e9%96%93%e5%a4%89%e5%8c%96%e7%8e%87\/"},"modified":"2023-09-17T11:04:43","modified_gmt":"2023-09-17T11:04:43","slug":"%e5%b9%b3%e5%9d%87%e5%a4%89%e5%8c%96%e7%8e%87%e3%81%a8%e7%9e%ac%e9%96%93%e5%a4%89%e5%8c%96%e7%8e%87","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%b9%b3%e5%9d%87%e5%a4%89%e5%8c%96%e7%8e%87%e3%81%a8%e7%9e%ac%e9%96%93%e5%a4%89%e5%8c%96%e7%8e%87\/","title":{"rendered":"\u5e73\u5747\u5909\u5316\u7387\u3068\u77ac\u9593\u5909\u5316\u7387"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u5909\u5316\u7387\u3001\u5e73\u5747\u5909\u5316\u7387\u3001\u77ac\u9593\u5909\u5316\u7387\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u5909\u5316\u7387\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u95a2\u3059\u308b\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u3055\u3089\u306b\u3001\u5909\u5316\u7387\u306b\u95a2\u3059\u308b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-tasa-de-variacion\"><\/span>\u5909\u5316\u7387\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6570\u5b66\u3067\u306f\u3001\u95a2\u6570\u306e\u5909\u5316\u7387 (TV) \u306f\u30012 \u3064\u306e\u7570\u306a\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u5024\u306e\u5dee\u3067\u3059\u3002<\/strong>\u3057\u305f\u304c\u3063\u3066\u30012 \u70b9\u9593\u306e\u5909\u5316\u7387\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u3053\u308c\u3089 2 \u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u5024\u3092\u6e1b\u7b97\u3059\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-c33fec724dd0a5bf45bfec5a911f5bcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[a,b]=f(b)-f(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"171\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u95a2\u6570\u306e 2 \u3064\u306e\u30a4\u30e1\u30fc\u30b8\u304c f(2)=1 \u304a\u3088\u3073 f(5)=7 \u3067\u3042\u308b\u5834\u5408\u3001\u305d\u308c\u3089\u306e\u5909\u5316\u7387\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-8696c8ddc5db28bea4a9b14bc6dc0b9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[2,5]=f(5)-f(2)=7-1=6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"269\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5909\u5316\u7387\u306e\u6570\u5b66\u7684\u610f\u5473\u3092\u898b\u3066\u304d\u307e\u3057\u305f\u304c\u3001\u7d4c\u6e08\u5b66\u306b\u304a\u3051\u308b\u5909\u5316\u7387\u306e\u6982\u5ff5\u306f\u6b21\u306e\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>\u7d4c\u6e08\u5b66\u3067\u306f\u30012 \u3064\u306e\u5024\u9593\u306e\u5909\u5316\u7387\u306f\u3001\u30d1\u30fc\u30bb\u30f3\u30c6\u30fc\u30b8\u3067\u8868\u3055\u308c\u308b\u305d\u308c\u3089\u306e\u5dee\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u7570\u306a\u308b\u671f\u9593\u9593\u306e\u5909\u6570\u306e\u5909\u5316\u7387\u306f\u3001\u305d\u306e\u76f8\u5bfe\u7684\u306a\u5909\u5316\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5909\u5316\u7387\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u30012 \u3064\u306e\u7570\u306a\u308b\u671f\u9593\u306e\u5024\u304c\u6e1b\u7b97\u3055\u308c\u3001\u5f97\u3089\u308c\u305f\u7d50\u679c\u304c\u6700\u521d\u306e\u671f\u9593\u306e\u5024\u3067\u9664\u7b97\u3055\u308c\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-3a6392a6712643e5eeddbf7226523e42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[t,t+n]=\\cfrac{Y_{t+n}-Y_t}{Y_t}\\cdot 100\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"227\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u7279\u5b9a\u306e\u682a\u5f0f\u306e\u4fa1\u5024\u304c 1 \u304b\u6708\u3067 35 \u30e6\u30fc\u30ed\u304b\u3089 50 \u30e6\u30fc\u30ed\u306b\u5897\u52a0\u3057\u305f\u5834\u5408\u3001\u305d\u306e\u5909\u5316\u7387\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-17a18b6b77c1e1b21cad5d1ffab56aca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[t,t+1]=\\cfrac{50-35}{35}\\cdot 100=42,86 \\ \\%\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"296\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5909\u5316\u7387\u306e 2 \u3064\u306e\u8003\u3048\u3089\u308c\u308b\u610f\u5473\u3092\u8003\u616e\u3057\u3066\u3001\u3053\u306e\u8a18\u4e8b\u3067\u306f\u5909\u5316\u7387\u306e\u6570\u5b66\u7684\u5b9a\u7fa9\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306b\u7126\u70b9\u3092\u5f53\u3066\u307e\u3059\u3002\u5909\u5316\u7387\u306b\u306f\u3001\u5e73\u5747\u5909\u5316\u7387\u3068\u77ac\u9593\u5909\u5316\u7387\u306e 2 \u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u305d\u308c\u305e\u308c\u306e\u30bf\u30a4\u30d7\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tasa-de-variacion-media\"><\/span> \u5e73\u5747\u5909\u5316\u7387<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u533a\u9593\u5185\u306e\u95a2\u6570\u306e\u5e73\u5747\u5909\u5316\u7387 (TVM) \u306f\u3001\u305d\u306e\u72ec\u7acb\u5909\u6570\u304c\u5897\u52a0\u3059\u308b\u5358\u4f4d\u3054\u3068\u306b\u95a2\u6570\u304c\u5897\u52a0 (\u307e\u305f\u306f\u6e1b\u5c11) \u3059\u308b\u5358\u4f4d\u6570\u3067\u3059\u3002<\/strong>\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u5e73\u5747\u5909\u5316\u7387\u306f\u3001\u3042\u308b\u533a\u9593\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u6210\u9577\u3092\u305d\u306e\u540c\u3058\u533a\u9593\u306e\u632f\u5e45\u3067\u5272\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\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-a08373207642a78dec20dd28a9dafc4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM}[a,b]=\\cfrac{f(b)-f(a)}{b-a}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5e73\u5747\u5909\u5316\u7387\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4ee5\u4e0b\u306b\u4f8b\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3057\u307e\u3057\u305f\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-tasa-de-variacion-media-de-una-funcion\"><\/span>\u95a2\u6570\u306e\u5e73\u5747\u5909\u5316\u7387\u306e\u8a08\u7b97\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u6b21\u306e\u95a2\u6570\u306e\u533a\u9593 [2.5] \u306b\u304a\u3051\u308b\u5e73\u5747\u5909\u5316\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e583988ce73cdf54a12306a64c97cc42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = x^2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001x=2 \u3068 x=5 \u3067\u306e\u95a2\u6570\u306e\u5024\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-57a8756268ece6ee3543392da3aa5ee3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(5)= 5^2-1=25-1=24\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" 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-7163ad8fbbfd700e474e6d40164c8cb9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2)=2^2-1=4-1=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3059\u308b\u3060\u3051\u3067\u3001\u533a\u9593\u5185\u306e\u95a2\u6570\u306e\u5e73\u5747\u5909\u5316\u7387\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-aca6688a94500231cb464ce5ca91685c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [a,b] = \\cfrac{f(b)-f(a)}{b-a}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" 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-dba3fad93a4b7e04a5d6f1517eb6dc1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [2,5]=\\cfrac{f(5)-f(2)}{5-2} = \\cfrac{24 - 3}{5-2} = \\cfrac{21}{3} = \\bm{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"341\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> TVM[2,5] \u306e\u7d50\u679c\u304c\u6b63\u3067\u3042\u308b\u305f\u3081\u3001\u95a2\u6570\u304c\u533a\u9593 [2,5] \u3067\u5897\u52a0\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\u7d50\u679c\u304c\u8ca0\u3067\u3042\u3063\u305f\u5834\u5408\u306f\u3001\u3053\u306e\u533a\u9593\u3067\u95a2\u6570\u304c\u6e1b\u5c11\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-geometrica-de-la-tasa-de-variacion-media\"><\/span>\u5e73\u5747\u5909\u5316\u7387\u306e\u5e7e\u4f55\u5b66\u7684\u89e3\u91c8<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5e7e\u4f55\u5b66\u7684\u306b\u306f\u3001\u533a\u9593\u5185\u306e\u95a2\u6570\u306e\u5e73\u5747\u5909\u5316\u7387\u306f\u3001\u533a\u9593\u306e\u6975\u70b9\u3092\u7d50\u3076\u7dda\u306e\u50be\u304d\u3092\u8868\u3057\u307e\u3059\u3002 <\/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\/taux-de-variation-moyen.webp\" alt=\"\u5e73\u5747\u5909\u5316\u7387\" class=\"wp-image-1678\" width=\"337\" height=\"378\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tasa-de-variacion-instantanea\"><\/span>\u77ac\u9593\u5909\u5316\u7387<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u77ac\u9593\u5909\u5316\u7387 (TVI) \u306f\u3001\u3042\u308b\u533a\u9593\u306b\u308f\u305f\u308b\u95a2\u6570\u306e\u76f8\u5bfe\u7684\u306a\u5897\u52a0\u306e\u5fae\u5c0f\u9650\u754c\u3067\u3059\u3002<\/strong>\u3057\u305f\u304c\u3063\u3066\u3001\u77ac\u9593\u5909\u5316\u7387\u306f\u3001 <em>h<\/em>\u304c\u30bc\u30ed\u306b<em>\u8fd1\u3065\u304f<\/em>\u3053\u3068\u306b\u3088\u3063\u3066<em>f(a+h)-f(a)<\/em>\u306e\u5546\u306e\u6975\u9650\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\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-605387fef74bd8fe7f7e8a3e75686a7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{TVI}(a)=\\lim_{h \\to 0}\\frac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"235\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u77ac\u9593\u5909\u5316\u7387\u306e\u5024\u306f\u6b63\u3001\u8ca0\u3001\u30bc\u30ed\u306e\u3044\u305a\u308c\u304b\u3067\u3042\u308a\u3001\u305d\u306e\u6642\u70b9\u3067\u306e\u95a2\u6570\u304c\u305d\u308c\u305e\u308c\u5897\u52a0\u3001\u6e1b\u5c11\u3001\u307e\u305f\u306f\u305d\u306e\u6642\u70b9\u3067\u540c\u3058\u307e\u307e\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-tasa-de-variacion-instantanea-de-una-funcion\"><\/span>\u95a2\u6570\u306e\u77ac\u6642\u5909\u5316\u7387\u306e\u8a08\u7b97\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u6b21\u306e\u95a2\u6570\u306e\u70b9 x=2 \u306b\u304a\u3051\u308b\u77ac\u9593\u7684\u306a\u5909\u5316\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a0f6973d1b2b1b370cb20764d5a954a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u77ac\u9593\u7684\u306a\u5909\u5316\u7387\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3059\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-ef687e3c0bab81c2a8eaa578fcc41b9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (a) = \\lim\\limits_{h \\to 0} \\cfrac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"235\" style=\"vertical-align: -13px;\"><\/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-fd6499ec6074ceea794309155c7d788d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (2) = \\lim\\limits_{h \\to 0} \\cfrac{f(2+h)-f(2)}{h} =  \\lim\\limits_{h \\to 0} \\cfrac{(2+h)^2-2^2}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"390\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u6ce8\u76ee\u3059\u3079\u304d\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3\u3092\u89e3\u6c7a\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-21ea1067eb0c47009dd7f9c214a16e4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0}  \\cfrac{2^2+h^2+2\\cdot 2 \\cdot h -2^2}{h} = \\lim\\limits_{h \\to 0}  \\cfrac{4+h^2+4h -4}{h} = \\lim\\limits_{h \\to 0}  \\cfrac{h^2+4h}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"496\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#FF9B28;\">\u27a4<\/span>\u6ce8\u76ee\u3059<u style=\"text-decoration-color:#FF9B28;\">\u3079\u304d\u6052\u7b49\u5f0f\u306e\u516c\u5f0f\u3092<\/u>\u3082\u3046\u899a\u3048\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001\u591a\u9805\u5f0f\u3092\u5c02\u9580\u3068\u3059\u308b\u5f53\u793e\u306e\u30b5\u30a4\u30c8 ( <u style=\"text-decoration-color:#FF9B28;\">www.polinomios.org<\/u> ) \u3067\u3059\u3079\u3066\u306e\u516c\u5f0f\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u5236\u9650\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\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-b380a5546aa95d74c4da1a81e0e4665b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0}  \\cfrac{h^2+4h}{h} = \\cfrac{0^2+4\\cdot 0}{0} =\\cfrac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"221\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u3057\u304b\u3057\u3001\u30bc\u30ed\u9593\u306e\u4e0d\u78ba\u5b9a\u6027\u304c\u30bc\u30ed\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\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-ae32dac146777b5395b505ebf658af5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0}  \\cfrac{h^2+4h}{h}= \\lim\\limits_{h \\to 0} \\cfrac{\\cancel{h}(h+4)}{\\cancel{h}} = \\lim\\limits_{h \\to 0} (h+4)\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"320\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u30bb\u3099\u30ed\u9593\u306e\u30bb\u3099\u30ed-0-0-\u4e0d\u5b9a\/\">\u30bc\u30ed\u9593\u306e\u4e0d\u78ba\u5b9a\u6027\u304c\u30bc\u30ed\u306e\u6975\u9650\u3092\u89e3\u304f\u65b9\u6cd5<\/a><\/span><\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u5236\u9650\u3092\u89e3\u6c7a\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-3b124f5a6537497e232294814f1d49b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} (h+4) = 0 +4 = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"179\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u307e\u3060\uff1a<\/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-9504f8df3dcdd1c6954399b5a6aa0ef4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{TVI} \\bm{(2) = 4}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> TVI(2) \u306e\u7d50\u679c\u306f\u6b63\u306a\u306e\u3067\u3001\u95a2\u6570\u304c x=2 \u3067\u5897\u52a0\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\u7d50\u679c\u304c\u30de\u30a4\u30ca\u30b9\u3060\u3063\u305f\u5834\u5408\u306f\u3001\u3053\u306e\u6bb5\u968e\u3067\u6a5f\u80fd\u304c\u4f4e\u4e0b\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-geometrica-de-la-tasa-de-variacion-instantanea\"><\/span>\u77ac\u9593\u5909\u5316\u7387\u306e\u5e7e\u4f55\u5b66\u7684\u89e3\u91c8<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5e7e\u4f55\u5b66\u7684\u306b\u306f\u3001\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u77ac\u9593\u7684\u306a\u5909\u5316\u7387\u306f\u3001\u540c\u3058\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306b\u63a5\u3059\u308b\u7dda\u306e\u50be\u304d\u3092\u8868\u3057\u307e\u3059\u3002 <\/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\/taux-de-changement-instantane.webp\" alt=\"\u77ac\u9593\u7684\u306a\u5909\u5316\u7387\" class=\"wp-image-1682\" width=\"336\" height=\"355\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3088\u304f\u898b\u308b\u3068\u3001\u77ac\u9593\u5909\u5316\u7387\u306e\u610f\u5473\u306f<span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u30c6\u3099\u30ea\u30cf\u3099\u30c6\u30a3\u30d5\u3099\/\">\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u6982\u5ff5<\/a><\/span>\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u77ac\u9593\u5909\u5316\u7387\u306f\u3001\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306e\u5024\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u3082\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-tasa-de-variacion\"><\/span>\u5909\u5316\u7387\u306b\u95a2\u3059\u308b\u6f14\u7fd2\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>\u533a\u9593 [1,3] \u306b\u304a\u3051\u308b\u6b21\u306e\u95a2\u6570\u306e\u5909\u5316\u7387\u306e\u5024\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-52242e9edb560029e6861be262dc3418_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" 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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u9593\u9694\u306e\u7d42\u308f\u308a\u306e\u95a2\u6570\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-a68e7a97d5a6f45ee1d01481fe687da1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=1^2-5=1-5=-4\" 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-a0d6343387ae4a98c94387008c73c791_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=3^2-5=9-5=4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u5909\u5316\u7387\u306e\u516c\u5f0f\u3092\u9069\u7528\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-c33fec724dd0a5bf45bfec5a911f5bcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[a,b]=f(b)-f(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"171\" 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-6ab143c57ef36bb306946cbe760653ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TV}[1,3]=f(3)-f(1)=4-(-4)=4+4=\\bm{8}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"360\" 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>\u533a\u9593 [1,4] \u306b\u308f\u305f\u308b\u6b21\u306e\u95a2\u6570\u306e\u5e73\u5747\u5909\u5316\u7387 (TVM) \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-b43717721aa2afd3fbc6d587213bbdef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" 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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001x=1 \u3068 x=4 \u3067\u306e\u95a2\u6570\u306e\u30a4\u30e1\u30fc\u30b8\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-0877ab6ef765a3944e138081718775cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(4)=2\\cdot4+1=9\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" 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-e2e61642cf8070ce3ae09b2eb3335c4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=2\\cdot 1+1=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u5e73\u5747\u5909\u5316\u7387\u306e\u516c\u5f0f\u3092\u9069\u7528\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-aca6688a94500231cb464ce5ca91685c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [a,b] = \\cfrac{f(b)-f(a)}{b-a}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" 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-55ff356ed3f6444ca49c49e39dd46072_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [1,4] = \\cfrac{f(4)-f(1)}{4-1} = \\cfrac{9-3}{4-1}=\\cfrac{6}{3} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"323\" style=\"vertical-align: -12px;\"><\/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>\u533a\u9593 [-1.3] \u306b\u304a\u3051\u308b\u6b21\u306e\u95a2\u6570\u306e\u5e73\u5747\u5909\u5316\u7387\u3092\u6c42\u3081\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-a04612aafb771e8771b2810a18e18475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(x+1)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"120\" 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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5e73\u5747\u5909\u5316\u7387\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u307e\u305a f(-1) \u3068 f(3) \u3092\u8a08\u7b97\u3059\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-3da577fe4ac481741007375057aa116e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=(3+1)^2=(4)^2=16\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"213\" 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-8b7269aaa1c01fb9a5e218a0a627483b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-1)=((-1)+1)^2=(0)^2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"246\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u3053\u3067\u3001\u5e73\u5747\u5909\u5316\u7387\u306e\u516c\u5f0f\u3092\u4f7f\u7528\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-aca6688a94500231cb464ce5ca91685c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [a,b] = \\cfrac{f(b)-f(a)}{b-a}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" 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-080aef07d76e5d8823128118052fb808_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [-1,3] = \\cfrac{f(3)-f(-1)}{3-(-1)} = \\cfrac{16-0}{3+1}=\\cfrac{16}{4} = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"369\" style=\"vertical-align: -17px;\"><\/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>\u6b21\u306e\u30b0\u30e9\u30d5\u306b\u793a\u3059\u95a2\u6570\u306e\u533a\u9593 [2,4] \u306e\u5e73\u5747\u5909\u5316\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/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\/representation-d-une-fonction-quadratique-ou-parabole.webp\" alt=\"\" class=\"wp-image-137\" width=\"290\" height=\"328\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\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\">\u5e73\u5747\u5909\u5316\u7387\u306e\u516c\u5f0f\u3092\u9069\u7528\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-aca6688a94500231cb464ce5ca91685c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [a,b] = \\cfrac{f(b)-f(a)}{b-a}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"191\" 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-436fb10e74beb8c2ede9c9ac586d96c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM} [2,4]=\\cfrac{f(4)-f(2)}{4-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"192\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5f0f\u3067\u308f\u304b\u308b\u3088\u3046\u306b\u3001f(4) \u3068 f(2) \u306e\u5024\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u30a3\u30ab\u30eb\u8868\u73fe\u3092\u898b\u308b\u3053\u3068\u3067\u7c21\u5358\u306b\u884c\u3046\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-fad0fc656e95d7bc9517693b55a15540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(4)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" 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-9e7d13ebd46205da0aa8ff41e5133ba3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u95a2\u6570\u306e\u5024\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u305d\u308c\u3092\u5f0f\u306b\u4ee3\u5165\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-9a84929c02a38e91b072239affa6d9f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVM}[2,4]=\\cfrac{f(4)-f(2)}{4-2}=\\cfrac{5-1}{4-2}=\\cfrac{4}{2}=\\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"323\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 5<\/h3>\n<p>\u70b9 x=2 \u306b\u304a\u3051\u308b\u6b21\u306e\u95a2\u6570\u306e\u77ac\u9593\u5909\u5316\u7387\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-9de7457ac9ec3e1599c6f986c5ba57ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" 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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u70b9 x=2 \u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u77ac\u9593\u7684\u306a\u5909\u5316\u7387\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u5bfe\u5fdc\u3059\u308b\u516c\u5f0f\u3092\u9069\u7528\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-a66c321e96cb1e871b9c7debfee1f4bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI}(a)=\\lim\\limits_{h \\to 0} \\cfrac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"235\" style=\"vertical-align: -13px;\"><\/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-73ee822823f921f75014cb9b50e47f51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\text{TVI}(2)=\\lim\\limits_{h \\to 0} \\cfrac{f(2+h)-f(2)}{h}=\\\\[4ex]=\\lim\\limits_{h \\to 0} \\cfrac{3(2+h)-3\\cdot 2}{h} =\\\\[4ex]=\\lim\\limits_{h \\to 0} \\cfrac{6+3h-6}{h}= \\lim\\limits_{h \\to 0} \\cfrac{3h}{h} =\\\\[4ex]=\\lim\\limits_{h \\to 0} \\cfrac{3\\cancel{h}}{\\cancel{h}}=\\lim\\limits_{h \\to 0} 3 = \\bm{3}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"239\" width=\"250\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 6<\/h3>\n<p>\u70b9 x=1 \u306b\u304a\u3051\u308b\u6b21\u306e\u95a2\u6570\u306e\u77ac\u9593\u5909\u5316\u7387 (TVI) \u3092\u6c42\u3081\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-a64e895ef4284c9ac73729d092f47767_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" 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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u77ac\u9593\u7684\u306a\u5909\u5316\u7387\u306e\u516c\u5f0f\u3092\u9069\u7528\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-ef687e3c0bab81c2a8eaa578fcc41b9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (a) = \\lim\\limits_{h \\to 0} \\cfrac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"235\" style=\"vertical-align: -13px;\"><\/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-9aae03d6907f804a3015daa4ecca1e9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (1) = \\lim\\limits_{h \\to 0} \\cfrac{f(1+h)-f(1)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"233\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\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-59ab22db5134b4e8bc6bbed7ab09bd5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1+h)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"64\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u305d\u3057\u3066<\/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-bcec545e7bbd1d55ba069ac58c7862ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1+h) = (1+h)^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"181\" 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-c5f418d9c95675368ebe7525ad0354ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=1^2+1=1+1=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u5236\u9650\u5185\u3067\u898b\u3064\u304b\u3063\u305f\u5024\u3092\u7f6e\u304d\u63db\u3048\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-89bedae84e1ece0933ddf522e449e005_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (1) = \\lim\\limits_{h \\to 0} \\cfrac{f(1+h)-f(1)}{h}= \\lim\\limits_{h \\to 0} \\cfrac{(1+h)^2+1-2}{h} =\\lim\\limits_{h \\to 0} \\cfrac{(1+h)^2-1}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"563\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u79c1\u305f\u3061\u306f\u6ce8\u76ee\u3059\u3079\u304d\u88fd\u54c1\u3092\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-ef36f072cd7bee2d30936dc5a18bdf7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{1^2+h^2+2\\cdot 1 \\cdot h-1}{h}=\\lim\\limits_{h \\to 0} \\cfrac{1+h^2+2h-1}{h}=\\lim\\limits_{h \\to 0} \\cfrac{h^2+2h}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"488\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u308c\u3067\u306f\u3001\u5236\u9650\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\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-eada4220b55e8f3f27f6e565244fa430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{h^2+2h}{h}=\\cfrac{0^2+2\\cdot 0}{0} = \\cfrac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"221\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u30bc\u30ed\u3092\u30bc\u30ed\u3067\u5272\u3063\u305f\u4e0d\u5b9a\u5f62\u304c\u898b\u3064\u304b\u308b\u306e\u3067\u3001\u5206\u6570\u306e\u5206\u5b50\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u3066\u5358\u7d14\u5316\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-89248fe68bc38749f3ad45e65d902840_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{h^2+2h}{h}=\\lim\\limits_{h \\to 0} \\cfrac{h(h+2)}{h} = \\lim\\limits_{h \\to 0} \\cfrac{\\cancel{h}(h+2)}{\\cancel{h}}= \\lim\\limits_{h \\to 0}(h+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"442\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <span style=\"color:#FF9B28;\">\u27a4<\/span><u style=\"text-decoration-color:#FF9B28;\">\u30bc\u30ed\u9593\u306e\u30bc\u30ed\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u304f\u65b9\u6cd5\u304c<\/u>\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306f\u3001\u4e0a\u306e\u30ea\u30f3\u30af\u3067<u style=\"text-decoration-color:#FF9B28;\">\u3001\u30bc\u30ed\u9593\u306e\u30bc\u30ed\u4e0d\u78ba\u5b9a\u6027\u306b\u3088\u308b\u6975\u9650\u3092\u89e3\u304f\u65b9\u6cd5\u306b\u95a2\u3059\u308b\u5b8c\u5168\u306a\u8aac\u660e\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/u><\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u5236\u9650\u3092\u89e3\u6c7a\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-5467af069ca6192116dee3e32de90ea7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0}(h+2) = 0+2 =\\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"178\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8981\u7d04\u3059\u308b\u3068\u3001\u70b9 x=1 \u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u77ac\u9593\u7684\u306a\u5909\u5316\u7387\u306f 2 \u306b\u7b49\u3057\u304f\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-fbcab0fecbbbe2fbefd80027e8748bda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{TVI} \\bm{(1) = 2}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"92\" 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 7<\/h3>\n<p>\u6b21\u306e\u95a2\u6570\u306e\u70b9 x=2 \u306b\u304a\u3051\u308b\u77ac\u9593\u7684\u306a\u5909\u5316\u7387\u3092\u6c42\u3081\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-1b3e71aa0e6f65532f0324d35e827180_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=4x^2-x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"147\" 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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u77ac\u9593\u5909\u5316\u7387\u306e\u516c\u5f0f\u3092\u4f7f\u7528\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-ef687e3c0bab81c2a8eaa578fcc41b9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (a) = \\lim\\limits_{h \\to 0} \\cfrac{f(a+h)-f(a)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"235\" style=\"vertical-align: -13px;\"><\/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-a6a7c9ceda50eea0255d09898ff47cbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (2) = \\lim\\limits_{h \\to 0} \\cfrac{f(2+h)-f(2)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"233\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\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-bd34e7bfca2688fc7047d0cbe546068d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2+h)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"64\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u305d\u3057\u3066<\/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-79281afbca1e53d72c77a132af8593a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2+h) = 4(2+h)^2-(2+h)+3=4(2+h)^2-h+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"423\" 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-9260dd17b5ceca44c7ff2d860f0354c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2) =4\\cdot 2^2-2+3=4\\cdot 4-2+3 =17\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"313\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u5236\u9650\u5185\u3067\u898b\u3064\u304b\u3063\u305f\u5024\u3092\u7f6e\u304d\u63db\u3048\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-6ad59f5f751af139656a471bf2a41801_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{TVI} (2) = \\lim\\limits_{h \\to 0} \\cfrac{f(2+h)-f(2)}{h}=\\\\[4ex]=\\lim\\limits_{h \\to 0} \\cfrac{4(2+h)^2-h+1-17}{h}=\\\\[4ex]= \\lim\\limits_{h \\to 0} \\cfrac{4(2+h)^2-h-16}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"190\" width=\"286\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6ce8\u76ee\u3059\u3079\u304d\u7b49\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-e358be77d34e9ec7c27433743001162c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{4(2^2+h^2+2\\cdot 2 \\cdot h)-h-16}{h}=\\lim\\limits_{h \\to 0} \\cfrac{4(4+h^2+4h)-h-16}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"500\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u5b50\u3092\u64cd\u4f5c\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-e7c2b63592b070fa6046376f878d45bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{16+4h^2+16h-h-16}{h}=\\lim\\limits_{h \\to 0} \\cfrac{4h^2+15h}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"355\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u308c\u3067\u306f\u3001\u5236\u9650\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\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-b9dda4d5e5c5eab8c018f1b46a3da45e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{4h^2+15h}{h}=\\cfrac{4\\cdot0^2+15\\cdot 0}{0} = \\cfrac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"269\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u4e0d\u78ba\u5b9a\u6027\u30bc\u30ed\u3092\u30bc\u30ed\u3067\u5272\u3063\u305f\u5024\u304c\u5f97\u3089\u308c\u308b\u306e\u3067\u3001\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u3066\u5358\u7d14\u5316\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-e0d1213a45968f3137f0c39272cd70dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0} \\cfrac{4h^2+15h}{h}=\\lim\\limits_{h \\to 0} \\cfrac{h(4h+15)}{h}=\\lim\\limits_{h \\to 0} \\cfrac{\\cancel{h}(4h+15)}{\\cancel{h}}= \\lim\\limits_{h \\to 0}(4h+15)\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"513\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u5236\u9650\u3092\u89e3\u6c7a\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-5eb4579d04c151866059162480d4c816_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{h \\to 0}(4h+15)=4\\cdot 0+15 =\\bm{15}\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"235\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u307e\u3060\uff1a <\/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-9181cbd259448ba47e80eb081625ee2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{TVI} \\bm{(2) = 15}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" 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>\u3053\u3053\u3067\u306f\u5909\u5316\u7387\u3001\u5e73\u5747\u5909\u5316\u7387\u3001\u77ac\u9593\u5909\u5316\u7387\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u5909\u5316\u7387\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u95a2\u3059\u308b\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u3055\u3089\u306b\u3001\u5909\u5316\u7387\u306b\u95a2\u3059\u308b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u5909\u5316\u7387\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b? \u6570\u5b66 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%b9%b3%e5%9d%87%e5%a4%89%e5%8c%96%e7%8e%87%e3%81%a8%e7%9e%ac%e9%96%93%e5%a4%89%e5%8c%96%e7%8e%87\/\"> <span class=\"screen-reader-text\">\u5e73\u5747\u5909\u5316\u7387\u3068\u77ac\u9593\u5909\u5316\u7387<\/span> \u3082\u3063\u3068\u8aad\u3080 &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":[6],"tags":[],"class_list":["post-26","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized 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