{"id":328,"date":"2023-07-06T06:56:27","date_gmt":"2023-07-06T06:56:27","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e3%83%a4%e3%82%b3%e3%83%93%e3%82%a2%e3%83%b3%e8%a1%8c%e5%88%97%e3%83%a4%e3%82%b3%e3%83%93%e3%82%a2%e3%83%b3\/"},"modified":"2023-07-06T06:56:27","modified_gmt":"2023-07-06T06:56:27","slug":"%e3%83%a4%e3%82%b3%e3%83%93%e3%82%a2%e3%83%b3%e8%a1%8c%e5%88%97%e3%83%a4%e3%82%b3%e3%83%93%e3%82%a2%e3%83%b3","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e3%83%a4%e3%82%b3%e3%83%93%e3%82%a2%e3%83%b3%e8%a1%8c%e5%88%97%e3%83%a4%e3%82%b3%e3%83%93%e3%82%a2%e3%83%b3\/","title":{"rendered":"\u30e4\u30b3\u30d3\u30a2\u30f3\u3068\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u305d\u308c\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u7df4\u7fd2\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306b\u95a2\u3059\u308b\u3044\u304f\u3064\u304b\u306e\u6f14\u7fd2\u554f\u984c\u304c\u89e3\u6c7a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u884c\u5217\u5f0f\u3067\u3042\u308b\u30e4\u30b3\u30d3\u30a2\u30f3\u304c\u306a\u305c\u975e\u5e38\u306b\u91cd\u8981\u306a\u306e\u304b\u3082\u308f\u304b\u308a\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u3053\u306e\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u304c\u4ed6\u306e\u6f14\u7b97\u3068\u7dad\u6301\u3059\u308b\u95a2\u4fc2\u3084\u3001\u3053\u306e\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u304c\u6301\u3064\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u3068\u306f\u4f55\u3067\u3059\u304b?<\/h2>\n<p>\u30e4\u30b3\u30d3\u884c\u5217\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#dff6ff\"><strong>\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306f<\/strong>\u3001\u95a2\u6570\u306e\u4e00\u6b21\u504f\u5c0e\u95a2\u6570\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u884c\u5217\u3067\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\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\/formule-de-la-matrice-jacobienne.webp\" alt=\"\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u516c\u5f0f\" class=\"wp-image-2796\" width=\"477\" height=\"397\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306b\u306f\u5e38\u306b\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u3068\u540c\u3058\u6570\u306e\u884c\u304c\u542b\u307e\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-c2cded1f0c41f6c4f73404951209deec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f_1,f_2,\\ldots ,f_m)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u95a2\u6570\u304c\u3042\u308a\u3001\u5217\u306e\u6570\u306f\u5909\u6570\u306e\u6570\u306b\u5bfe\u5fdc\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-acf6e9bb52e3b1715802a12e9b93d938_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x_1, x_2, \\ldots , x_n).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001\u3053\u306e\u884c\u5217\u306f<em>\u30e4\u30b3\u30d3\u30a2\u30f3\u5fae\u5206<\/em>\u30de\u30c3\u30d7\u307e\u305f\u306f<em>\u30e4\u30b3\u30d3\u30a2\u30f3\u7dda\u5f62\u30de\u30c3\u30d7<\/em>\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002\u5b9f\u969b\u3001J \u306e\u4ee3\u308f\u308a\u306b D \u3067\u66f8\u304b\u308c\u308b\u3053\u3068\u3082\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-a754eb7ba76edc6a0057255d4b17792c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f = D_f\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"64\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p>\u8208\u5473\u6df1\u3044\u3053\u3068\u306b\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306f\u300119 \u4e16\u7d00\u306e\u91cd\u8981\u306a\u6570\u5b66\u8005\u3067\u3042\u308a\u6559\u6388\u3067\u3042\u308a\u3001\u6570\u5b66\u306e\u4e16\u754c\u3001\u7279\u306b\u7dda\u5f62\u4ee3\u6570\u306e\u5206\u91ce\u306b\u91cd\u8981\u306a\u8ca2\u732e\u3092\u3057\u305f\u30ab\u30fc\u30eb \u30b0\u30b9\u30bf\u30d5 \u30e4\u30b3\u30d3\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u30e4\u30b3\u30d3\u884c\u5217\u306e\u8a08\u7b97\u4f8b<\/h2>\n<p>\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u305d\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u6bb5\u968e\u7684\u306b\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u6b21\u306e\u95a2\u6570\u306e\u70b9 (1,2) \u306b\u304a\u3051\u308b\u30e4\u30b3\u30d3\u884c\u5217\u3092\u6c7a\u5b9a\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-f0fc87451aa9fbec94159b7a916880c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x,y)= (x^4 +3y^2x \\ , \\ 5y^2-2xy+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"290\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u521d\u306b\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u3001\u95a2\u6570\u306e\u3059\u3079\u3066\u306e 1 \u6b21\u504f\u5c0e\u95a2\u6570\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\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-dec527bbc6852cbe54551e96000f8357_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f_1}{\\partial x} = 4x^3+3y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"124\" 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-65bf87809e33a1ea0113f875bf6d1187_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f_1}{\\partial y} = 6yx\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"79\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c8ed9d5e68e04f45efe36891a22c088_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f_2}{\\partial x} = -2y\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"82\" 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-20a7a54e9162f3f423056d0638effb9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{\\partial f_2}{\\partial y} = 10y-2x\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"118\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u516c\u5f0f\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u95a2\u6570\u306b\u306f 2 \u3064\u306e\u5909\u6570\u3068 2 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306f\u6b21\u5143 2\u00d72 \u306e\u6b63\u65b9\u884c\u5217\u306b\u306a\u308a\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\/matrice-jacobienne-22152-avec-deux-variables-et-2-fonctions-scalaires-1.webp\" alt=\"\" class=\"wp-image-2821\" width=\"504\" height=\"124\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u5f0f\u3092\u53d6\u5f97\u3057\u305f\u3089\u3001\u70b9 (1,2) \u3067\u305d\u308c\u3092\u8a55\u4fa1\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-fa6ed35890b94e3abe43b9a3f9674e36_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(1,2)=\\begin{pmatrix} 4\\cdot 1^3+3\\cdot 2^2 &amp; 6\\cdot 2 \\cdot 1 \\\\[3ex] -2\\cdot 2 &amp; 10\\cdot 2-2 \\cdot 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u64cd\u4f5c\u3092\u5b9f\u884c\u3057\u3066\u89e3\u6c7a\u7b56\u3092\u53d6\u5f97\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\/exemple-de-calcul-de-la-matrice-jacobienne.webp\" alt=\"\u30e4\u30b3\u30d3\u884c\u5217\u306e\u8a08\u7b97\u4f8b\" class=\"wp-image-2823\" width=\"209\" height=\"71\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u95a2\u6570\u306e\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u7df4\u7fd2\u3067\u304d\u308b\u3088\u3046\u306b\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u3044\u304f\u3064\u304b\u306e\u6f14\u7fd2\u3092\u7528\u610f\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p> 2 \u3064\u306e\u5909\u6570\u306b\u304a\u3051\u308b\u6b21\u306e\u30d9\u30af\u30c8\u30eb\u95a2\u6570\u306e\u70b9 (0,-2) \u306b\u304a\u3051\u308b\u30e4\u30b3\u30d3\u884c\u5217\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-210a9fdec3d1430dd17f52f91fb8a5fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x,y)= (e^{xy}+y \\ , \\ y^2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"190\" 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__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u95a2\u6570\u306b\u306f 2 \u3064\u306e\u5909\u6570\u3068 2 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306f\u30b5\u30a4\u30ba 2\u00d72 \u306e\u6b63\u65b9\u884c\u5217\u306b\u306a\u308a\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\/exercice-resolu-de-la-matrice-jacobienne.webp\" alt=\"\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f\" class=\"wp-image-2840\" width=\"511\" height=\"124\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u30e4\u30b3\u30d3\u884c\u5217\u306e\u5f0f\u3092\u8a08\u7b97\u3057\u305f\u3089\u3001\u305d\u308c\u3092\u70b9 (0,-2) \u3067\u8a55\u4fa1\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-4f6008d8799a0a1c3a667e958d6c8818_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(0,-2)=\\begin{pmatrix}e^{0\\cdot (-2)}\\cdot (-2)\\phantom{5} &amp; \\phantom{5}e^{0\\cdot (-2)} \\cdot 0 +1 \\\\[4ex](-2)^2 &amp; 2\\cdot (-2) \\cdot 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"75\" width=\"352\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u64cd\u4f5c\u3092\u5b9f\u884c\u3057\u3066\u7d50\u679c\u3092\u53d6\u5f97\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-5eb37dc494497a424b489235b1a55a5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{J_f(0,-2)}=\\begin{pmatrix} \\bm{-2} &amp; \\bm{1} \\\\[1.5ex] \\bm{4} &amp; \\bm{0} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"166\" 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 2<\/h3>\n<p> 2 \u3064\u306e\u5909\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u6b21\u306e\u95a2\u6570\u306e\u70b9 (2,-1) \u3067\u306e\u30e4\u30b3\u30d3\u884c\u5217\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-cf0b9acb2545e2e42f1e63a0edb5a7c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x,y)= (x^3y^2 - 5x^2y^2 \\ , \\ y^6-3y^3x+7)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"314\" 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__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u95a2\u6570\u306b\u306f 2 \u3064\u306e\u5909\u6570\u3068 2 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306f\u6b21\u6570 2 \u306e\u6b63\u65b9\u884c\u5217\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-48baf447fc5a448f30f13295f96cb874_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(x,y)=\\begin{pmatrix}\\cfrac{\\phantom{5}\\partial f_1}{\\partial x}\\phantom{5} &amp; \\phantom{5}\\cfrac{\\partial f_1}{\\partial y}\\phantom{5} \\\\[3ex] \\cfrac{\\partial f_2}{\\partial x} &amp; \\cfrac{\\partial f_2}{\\partial y}\\end{pmatrix} = \\begin{pmatrix} \\vphantom{\\cfrac{\\partial f_2}{\\partial x}}3x^2y^2-10xy^2&amp; 2x^3y-10x^2y \\\\[3ex] \\vphantom{\\cfrac{\\partial f_2}{\\partial x}} -3y^3 &amp; 6y^5-9y^2x \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"101\" width=\"502\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u5f0f\u304c\u898b\u3064\u304b\u3063\u305f\u3089\u3001\u305d\u308c\u3092\u70b9 (2,-1) \u3067\u8a55\u4fa1\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-4f2ee2de8e72eed6956f784628353547_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(2,-1)=\\begin{pmatrix} 3\\cdot 2^2\\cdot (-1)^2-10\\cdot 2 \\cdot (-1)^2\\phantom{5} &amp; \\phantom{5}2\\cdot 2^3\\cdot (-1)-10\\cdot 2^2\\cdot (-1) \\\\[4ex] -3(-1)^3 &amp; 6\\cdot (-1)^5-9\\cdot (-1)^2\\cdot 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"74\" width=\"573\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u64cd\u4f5c\u3092\u5b9f\u884c\u3057\u3066\u7d50\u679c\u3092\u53d6\u5f97\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-7935318698eadf3d3af4f87e6e8f2629_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{J_f(1,2)}=\\begin{pmatrix} \\bm{-8} &amp; \\bm{24} \\\\[1.5ex] \\bm{3} &amp; \\bm{-24} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"175\" 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 3<\/h3>\n<p> 3 \u3064\u306e\u5909\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u6b21\u306e\u95a2\u6570\u306e\u70b9 (2,-2,2) \u306b\u304a\u3051\u308b\u30e4\u30b3\u30d3\u884c\u5217\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-d63b0e9c8ecd37b9f100a46233ef9d48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x,y,z)= \\left(z\\tan (x^2-y^2) \\ , \\ xy\\ln \\left( \\frac{z}{2} \\right)\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"313\" style=\"vertical-align: -12px;\"><\/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__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u95a2\u6570\u306b\u306f 3 \u3064\u306e\u5909\u6570\u3068 2 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306f\u6b21\u5143 2\u00d73 \u306e\u9577\u65b9\u5f62\u884c\u5217\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-5b327537a2e4c80c7eb38d56d94bb141_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(x,y,z)= \\begin{pmatrix}\\cfrac{\\phantom{5}\\partial f_1}{\\partial x}\\phantom{5} &amp; \\phantom{5}\\cfrac{\\partial f_1}{\\partial y}\\phantom{5} &amp; \\phantom{5}\\cfrac{\\partial f_1}{\\partial z}\\phantom{5} \\\\[3ex] \\cfrac{\\partial f_2}{\\partial x} &amp; \\cfrac{\\partial f_2}{\\partial y} &amp;\\cfrac{\\partial f_2}{\\partial z}\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"101\" width=\"297\" style=\"vertical-align: 0px;\"><\/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\/exercice-de-la-matrice-jacobienne-resolu-avec-3-variables.webp\" alt=\"\u30e4\u30b3\u30d3\u884c\u5217\u3067 3 \u5909\u6570\u306e\u6f14\u7fd2\u3092\u89e3\u3044\u305f\" class=\"wp-image-2870\" width=\"798\" height=\"121\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u5f0f\u3092\u53d6\u5f97\u3057\u305f\u3089\u3001\u305d\u308c\u3092\u70b9 (2,-2,2) \u3067\u8a55\u4fa1\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-a62dd1b4655e9d089404028ec48fbe11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(2,-2,2)= \\begin{pmatrix} \\vphantom{\\cfrac{\\partial f_2}{\\partial x}}2\\bigl(1+\\tan^2 (2^2-(-2)^2)\\bigr) \\cdot 2\\cdot 2 &amp; 2\\bigl(1+\\tan^2 (2^2-(-2)^2)\\bigr) \\cdot (-2\\cdot (-2)) &amp; \\tan (2^2-(-2)^2)\\\\[3ex] \\vphantom{\\cfrac{\\partial f_2}{\\partial x}} \\displaystyle -2\\ln \\left( \\frac{2}{2} \\right) &amp; \\displaystyle 2\\ln \\left( \\frac{2}{2} \\right) &amp;\\displaystyle \\frac{2\\cdot (-2)}{2} \\right)\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"106\" width=\"804\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8a08\u7b97\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-05c8aaa8cca0f4cb652c95b11d2e9db1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(2,-2,2)= \\begin{pmatrix} \\vphantom{\\cfrac{\\partial f_2}{\\partial x}}2\\bigl(1+\\tan^2 (0)\\bigr) \\cdot 4 \\phantom{5} &amp; 2\\bigl(1+\\tan^2 (0)\\bigr) \\cdot 4 &amp; \\phantom{5}\\tan (0)\\\\[3ex] \\vphantom{\\cfrac{\\partial f_2}{\\partial x}} -2\\cdot 0 &amp;  2\\cdot 0 &amp;-2 \\right)\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"506\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u5358\u7d14\u5316\u3067\u304d\u306a\u304f\u306a\u308b\u307e\u3067\u64cd\u4f5c\u3092\u7d9a\u3051\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-d2b4fda9837a6287456ca469d46a2382_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{J_f(2,-2,2)=} \\begin{pmatrix}\\bm{8} &amp; \\bm{8} &amp; \\bm{0} \\\\[2ex]   \\bm{0} &amp; \\bm{0} &amp;\\bm{-2} \\right)\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"208\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u70b9\u306b\u304a\u3051\u308b\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<strong> <\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-636bdeb4752c0344a75d5969fb84917a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\pi, \\pi)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"41\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u6b21\u306e\u591a\u5909\u6570\u95a2\u6570\u306e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9b36f1402d71e330215cbee0169a58f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x,y)= \\left( \\frac{\\cos (x-y)}{x} \\ , \\ e^{x^2-y^2} \\ , \\ x^3\\sin (2y) \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"343\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u95a2\u6570\u306b\u306f 2 \u3064\u306e\u5909\u6570\u3068 3 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u304c\u3042\u308b\u305f\u3081\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306f\u6b21\u5143 3\u00d72 \u306e\u9577\u65b9\u5f62\u884c\u5217\u306b\u306a\u308a\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\/exercice-resolu-etape-par-etape-de-jacobian-matrix-32152-1.webp\" alt=\"\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u6f14\u7fd2\" class=\"wp-image-2886\" width=\"704\" height=\"192\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u5f0f\u3092\u53d6\u5f97\u3057\u305f\u3089\u3001\u305d\u308c\u3092\u6b21\u306e\u70b9\u307e\u3067\u8a55\u4fa1\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-fbf56ffad010b2211cd457a72a08d870_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\pi, \\pi):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" 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-167caa7a7d1cb34db33f7b92e21b5f78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(\\pi,\\pi)= \\begin{pmatrix} \\displaystyle \\vphantom{\\cfrac{\\partial f_3}{\\partial y}}\\frac{-\\sin(\\pi-\\pi)\\pi-\\cos(\\pi-\\pi)}{\\pi^2} &amp; \\displaystyle\\frac{\\sin (\\pi- \\pi)}{\\pi} \\\\[3ex] \\vphantom{\\cfrac{\\partial f_3}{\\partial y}}2\\pi e^{\\pi^2-\\pi^2} &amp; -2\\pi e^{\\pi^2-\\pi^2} \\\\[3ex] \\vphantom{\\cfrac{\\partial f_3}{\\partial y}} 3\\pi^2\\sin(2\\pi) &amp; \\pi^3 \\cos(2\\pi)\\cdot 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"159\" width=\"440\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u79c1\u305f\u3061\u306f\u6b21\u306e\u3088\u3046\u306a\u696d\u52d9\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-b05c5bfee3f874f3adec324a6bc9b43e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(\\pi,\\pi)= \\begin{pmatrix} \\displaystyle \\vphantom{\\cfrac{\\partial f_3}{\\partial y}}\\displaystyle\\frac{-0-1}{\\pi^2} &amp; \\displaystyle\\frac{0}{\\pi} \\\\[3ex] \\vphantom{\\cfrac{\\partial f_3}{\\partial y}}2\\pi e^{0} &amp; -2\\pi e^{0} \\\\[3ex] \\vphantom{\\cfrac{\\partial f_3}{\\partial y}} 3\\pi^2\\cdot 0 &amp; \\pi^3 \\cdot 1 \\cdot 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"159\" width=\"246\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u8003\u616e\u3055\u308c\u3066\u3044\u308b\u70b9\u3067\u306e\u30d9\u30af\u30c8\u30eb\u95a2\u6570\u306e\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306f\u6b21\u306e\u5024\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-f4addee61e4664b95dbb049be217af34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{J_f(\\pi,\\pi)=} \\begin{pmatrix}\\displaystyle -\\frac{\\bm{1}}{\\bm{\\pi^2}} &amp; \\bm{0} \\\\[3ex] \\bm{2\\pi} &amp; \\bm{-2\\pi}\\\\[3ex]\\bm{0} &amp; \\bm{2\\pi^3} \\right)\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"119\" width=\"195\" 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 5<\/h3>\n<p>\u70b9\u3067\u306e\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\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-31e57c38165a2810230c0ca075aefde9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,0,\\pi)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"56\" style=\"vertical-align: -5px;\"><\/p>\n<p> 3 \u3064\u306e\u5909\u6570\u3092\u4f7f\u7528\u3057\u305f\u6b21\u306e\u95a2\u6570: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7841aa7ac90f968d460391c8d1529ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x,y,z)= \\left(xe^{2y}\\cos(-z) \\ , \\ (y-2)^3\\cdot \\sin\\left(\\frac{z}{2}\\right)  \\ , \\ e^{2y}\\cdot \\ln\\left(\\frac{x}{3}\\right) \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"472\" style=\"vertical-align: -12px;\"><\/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__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u95a2\u6570\u306f 3 \u3064\u306e\u5909\u6570\u3068 3 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306f\u6b21\u5143 3\u00d73 \u306e\u6b63\u65b9\u884c\u5217\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-bfd9dcbb1d4961906d5b8581f70f5392_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(x,y,z)=\\begin{pmatrix}\\phantom{5}\\cfrac{\\partial f_1}{\\partial x}\\phantom{5} &amp; \\phantom{5}\\cfrac{\\partial f_1}{\\partial y}\\phantom{5} &amp; \\phantom{5}\\cfrac{\\partial f_1}{\\partial z}\\phantom{5} \\\\[3ex] \\cfrac{\\partial f_2}{\\partial x} &amp; \\cfrac{\\partial f_2}{\\partial y} &amp; \\cfrac{\\partial f_2}{\\partial z} \\\\[3ex] \\cfrac{\\partial f_3}{\\partial x} &amp; \\cfrac{\\partial f_3}{\\partial y} &amp; \\cfrac{\\partial f_3}{\\partial z}\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"161\" width=\"297\" style=\"vertical-align: 0px;\"><\/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\/exercice-resolu-de-la-matrice-jacobienne-32153-avec-3-variables.webp\" alt=\"3 \u3064\u306e\u5909\u6570\u3092\u4f7f\u7528\u3057\u305f 3x3 \u30e4\u30b3\u30d3\u884c\u5217\u306e\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f\" class=\"wp-image-2937\" width=\"629\" height=\"191\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u3092\u898b\u3064\u3051\u305f\u3089\u3001\u6b21\u306e\u70b9\u3067\u8a55\u4fa1\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-696ca943dc60b9e55cbc96d72e3c0c19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,0,\\pi):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" 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-4f56df32b7632d1e74f014f0aab2b52a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(3,0,\\pi)= \\begin{pmatrix} \\vphantom{\\cfrac{\\partial f_2}{\\partial x}} e^{2\\cdot 0}\\cos(-\\pi) &amp; 2\\cdot 3e^{2\\cdot 0}\\cos(-\\pi) &amp; 3e^{2\\cdot 0}\\sin(-\\pi) \\\\[3ex] \\vphantom{\\cfrac{\\partial f_2}{\\partial x}} 0 &amp; \\displaystyle 3(0-2)^2\\cdot \\sin\\left(\\frac{\\pi}{2}\\right) &amp; \\displaystyle\\frac{1}{2}(0-2)^3\\cdot \\cos\\left(\\frac{\\pi}{2}\\right)\\\\[3ex] \\vphantom{\\cfrac{\\partial f_2}{\\partial x}}\\displaystyle\\frac{e^{2\\cdot 0}}{3} &amp;\\displaystyle 2e^{2\\cdot 0}\\cdot \\ln\\left(\\frac{3}{3}\\right) &amp; 0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"162\" width=\"542\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6f14\u7b97\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-5771c5e1c54eabf6df6633abd5f3e194_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(3,0,\\pi)= \\begin{pmatrix} \\vphantom{\\cfrac{\\partial f_2}{\\partial x}} 1\\cdot (-1) &amp; 6\\cdot 1\\cdot (-1) &amp; 3\\cdot 1 \\cdot 0 \\\\[3ex] \\vphantom{\\cfrac{\\partial f_2}{\\partial x}} 0 &amp; \\displaystyle 3\\cdot 4 \\cdot 1 &amp; \\displaystyle\\frac{1}{2}\\cdot (-8)\\cdot 0\\\\[3ex] \\vphantom{\\cfrac{\\partial f_2}{\\partial x}}\\displaystyle\\frac{1}{3} &amp;\\displaystyle 2\\cdot 1\\cdot  0 &amp; 0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"159\" width=\"380\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u6642\u70b9\u3067\u306e\u30e4\u30b3\u30d3\u884c\u5217\u306e\u7d50\u679c\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-6dc1884b96ce985e1475c5cfcba2fff8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{J_f(3,0,\\pi)=} \\begin{pmatrix} \\vphantom{\\cfrac{\\partial f_2}{\\partial x}} \\bm{-1} &amp; \\bm{-6} &amp; \\phantom{-}\\bm{0} \\\\[2ex]  \\bm{0} &amp; \\bm{12} &amp; \\displaystyle \\bm{0} \\\\[2ex] \\displaystyle \\frac{\\bm{1}}{\\bm{3}} &amp;\\bm{0}&amp; \\bm{0}\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"121\" width=\"224\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\">\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u884c\u5217\u5f0f: \u30e4\u30b3\u30d3\u30a2\u30f3<\/h2>\n<p>\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u884c\u5217\u5f0f\u306f<strong>\u30e4\u30b3\u30d3\u30a2\u30f3<\/strong>\u884c\u5217\u5f0f\u307e\u305f\u306f\u30e4\u30b3\u30d3\u30a2\u30f3\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306f\u3001\u95a2\u6570\u304c\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u3068\u540c\u3058\u6570\u306e\u5909\u6570\u3092\u6301\u3064\u5834\u5408\u306b\u306e\u307f\u8a08\u7b97\u3067\u304d\u308b\u3053\u3068\u3092\u8003\u616e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3001\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306f\u884c\u6570\u3068\u5217\u6570\u304c\u540c\u3058\u306b\u306a\u308a\u3001\u3057\u305f\u304c\u3063\u3066\u6b63\u65b9\u5f62\u306b\u306a\u308a\u307e\u3059\u3002\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3002 \u3002<\/p>\n<h3 class=\"wp-block-heading\">\u30e4\u30b3\u30d3\u30a2\u30f3\u306e\u4f8b<\/h3>\n<p>2 \u3064\u306e\u5909\u6570\u3092\u6301\u3064\u95a2\u6570\u306e\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u4f8b\u3092\u898b\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-a23f671a7521885bf05872fbc353e7fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x,y)= (x^2-y^2 \\ , \\ 2xy)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u95a2\u6570\u306e\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\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-5870e75f368ea3e554b2fa32cfa554dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(x,y)=\\begin{pmatrix}\\cfrac{\\phantom{5}\\partial f_1}{\\partial x}\\phantom{5} &amp; \\phantom{5}\\cfrac{\\partial f_1}{\\partial y}\\phantom{5} \\\\[3ex] \\cfrac{\\partial f_2}{\\partial x} &amp; \\cfrac{\\partial f_2}{\\partial y}\\end{pmatrix} = \\begin{pmatrix} \\vphantom{\\cfrac{\\partial f_2}{\\partial x}}2x \\phantom{5}&amp; -2y \\\\[2ex] \\vphantom{\\cfrac{\\partial f_2}{\\partial x}} 2y &amp; 2x \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"101\" width=\"349\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u30012\u00d72 \u884c\u5217\u306e\u884c\u5217\u5f0f\u3092\u89e3\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-6d1ef9df1d4735e3cea235c653714439_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}\\bigl(J_f(x,y)\\bigr) =\\begin{vmatrix} 2x&amp;-2y \\\\[2ex] 2y &amp; 2x \\end{vmatrix} = \\bm{4x^2+4y^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"300\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u30e4\u30b3\u30d3\u30a2\u30f3\u3068\u95a2\u6570\u306e\u53ef\u9006\u6027<\/h2>\n<p>\u30e4\u30b3\u30d3\u30a2\u30f3\u306e\u6982\u5ff5\u3092\u898b\u3066\u304d\u305f\u306e\u3067\u3001\u304a\u305d\u3089\u304f\u6b21\u306e\u3088\u3046\u306b\u8003\u3048\u305f\u3067\u3057\u3087\u3046&#8230;\u305d\u308c\u3067\u3001\u4f55\u304c\u610f\u5473\u304c\u3042\u308b\u306e\u3067\u3057\u3087\u3046\u304b?<\/p>\n<p>\u30e4\u30b3\u30d3\u30a2\u30f3\u306e\u4e3b\u306a\u7528\u9014\u306f\u3001\u95a2\u6570\u3092\u9006\u306b\u3067\u304d\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u3053\u3068\u3067\u3059\u3002<strong>\u9006\u95a2\u6570\u5b9a\u7406<\/strong>\u306f\u3001\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217 (\u30e4\u30b3\u30d3\u30a2\u30f3) \u306e\u884c\u5217\u5f0f\u304c 0 \u3068\u7570\u306a\u308b\u5834\u5408\u3001\u3053\u306e\u95a2\u6570\u306f\u53ef\u9006\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\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-d719077544284d291fe9faf0fbf0a099_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}\\bigl(J_f\\bigr) \\neq 0 \\ \\longrightarrow \\ \\exists \\ f^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"186\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u6761\u4ef6\u306f\u5fc5\u8981\u3067\u3059\u304c\u5341\u5206\u3067\u306f\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3064\u307e\u308a\u3001\u884c\u5217\u5f0f\u304c 0 \u4ee5\u5916\u306e\u5834\u5408\u3001\u884c\u5217\u306f\u53cd\u8ee2\u3067\u304d\u308b\u3068\u65ad\u8a00\u3067\u304d\u307e\u3059\u304c\u3001\u884c\u5217\u5f0f\u304c 0 \u306e\u5834\u5408\u3001\u884c\u5217\u5f0f\u304c 0 \u3067\u3042\u308b\u304b\u3069\u3046\u304b\u306f\u308f\u304b\u308a\u307e\u305b\u3093\u3002\u95a2\u6570\u306b\u306f\u9006\u6570\u307e\u305f\u306f No \u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u95a2\u6570\u306e\u30e4\u30b3\u30d3\u30a2\u30f3\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u524d\u8ff0\u3057\u305f\u4f8b\u3067\u306f\u3001\u884c\u5217\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-f2387cef5f9f9d4963e2e311bd672bfd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^2+4y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u3002\u3053\u306e\u5834\u5408\u3001\u95a2\u6570\u306f\u70b9 (0,0) \u3092\u9664\u3044\u3066\u5e38\u306b\u53cd\u8ee2\u3067\u304d\u308b\u3068\u65ad\u8a00\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u3053\u306e\u70b9\u304c\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u5f0f\u304c 0 \u306b\u7b49\u3057\u3044\u552f\u4e00\u306e\u70b9\u3067\u3042\u308b\u305f\u3081\u3001\u9006\u95a2\u6570\u304b\u3069\u3046\u304b\u306f\u308f\u304b\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u70b9\u306b\u5b58\u5728\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-119\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\">\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u3068\u4ed6\u306e\u6f14\u7b97\u3068\u306e\u95a2\u4fc2<\/h2>\n<p>\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306f\u3001\u95a2\u6570\u306e\u52fe\u914d\u3068\u30d8\u30c3\u30bb\u884c\u5217\u306b\u95a2\u9023\u3057\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u30b9\u30ed\u30fc\u30d7<\/h3>\n<p>\u95a2\u6570\u304c\u30b9\u30ab\u30e9\u30fc\u95a2\u6570\u306e\u5834\u5408\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306f<strong>gradient<\/strong>\u3068\u7b49\u4fa1\u306a\u884c\u884c\u5217\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-c493f1d8b149a2ed4710288031d7be71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f: \\mathbb{R}^n \\to \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"88\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-278699b80ce58cadb5c056b945483637_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f = \\nabla f = \\begin{pmatrix}\\phantom{5} \\cfrac{\\partial f}{\\partial x_1} \\phantom{5}&amp; \\cfrac{\\partial f}{\\partial x_2}&amp; \\dots &amp; \\cfrac{\\partial f}{\\partial x_n}\\phantom{5} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"304\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u30d8\u30b7\u30a2\u30f3\u884c\u5217<\/h3>\n<p>\u95a2\u6570\u306e\u52fe\u914d\u306e\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306f<strong>\u30d8\u30c3\u30bb\u884c\u5217<\/strong>\u3068\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-96ab1054f3c447eedac17f9ce04b4606_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H_f = J(\\nabla f)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p>\u30d8\u30c3\u30bb\u884c\u5217\u306f\u3001\u95a2\u6570\u306e 2 \u6b21\u5c0e\u95a2\u6570\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u305f\u3081\u3001\u8907\u6570\u306e\u5909\u6570\u3092\u542b\u3080\u95a2\u6570\u3092\u5c0e\u51fa\u3059\u308b\u5834\u5408\u306b\u975e\u5e38\u306b\u91cd\u8981\u306a\u884c\u5217\u3067\u3059\u3002\u5b9f\u969b\u3001<a href=\"https:\/\/mathority.org\/ja\/\u30d8\u30b7\u30a2\u30f3\u884c\u5217-\u30d8\u30b7\u30a2\u30f3-2x2-3x3\/\">\u30d8\u30c3\u30bb\u884c\u5217\u306f<\/a>\u30e4\u30b3\u30d3\u884c\u5217\u306e\u9023\u7d9a\u6027\u3067\u3042\u308b\u3068\u8a00\u3048\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u3053\u308c\u306f\u975e\u5e38\u306b\u91cd\u8981\u306a\u306e\u3067\u3001\u30da\u30fc\u30b8\u5168\u4f53\u3067\u8a73\u7d30\u306b\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u304c\u4f55\u3067\u3042\u308b\u304b\u3001\u305d\u3057\u3066\u306a\u305c\u305d\u308c\u304c\u305d\u308c\u307b\u3069\u7279\u5225\u306a\u306e\u304b\u3092\u6b63\u78ba\u306b\u77e5\u308a\u305f\u3044\u5834\u5408\u306f\u3001\u30ea\u30f3\u30af\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u30e4\u30b3\u30d3\u884c\u5217\u306e\u5fdc\u7528<\/h2>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p>\u95a2\u6570\u304c\u53ef\u9006\u304b\u3069\u3046\u304b\u3092\u6c7a\u5b9a\u3059\u308b\u30e4\u30b3\u30d3\u30a2\u30f3\u306e\u6709\u7528\u6027\u4ee5\u5916\u306b\u3082\u3001\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306b\u306f\u4ed6\u306e\u7528\u9014\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306f\u3001\u591a\u5909\u91cf\u95a2\u6570\u306e<strong><span style=\"color:#1976d2;\">\u81e8\u754c\u70b9\u3092<\/span><\/strong>\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u3001\u30d8\u30c3\u30bb\u884c\u5217\u3092\u901a\u3058\u3066\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u3001\u307e\u305f\u306f\u978d\u70b9\u306b\u5206\u985e\u3055\u308c\u307e\u3059\u3002\u81e8\u754c\u70b9\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u95a2\u6570\u306e\u30e4\u30b3\u30d3\u884c\u5217\u3092\u8a08\u7b97\u3057\u3001\u305d\u308c\u3092 0 \u306b\u8a2d\u5b9a\u3057\u3001\u7d50\u679c\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\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-d0c053381fc5f78d85944f3f431e5537_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle J_f(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"74\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p>\u3055\u3089\u306b\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306e\u5225\u306e\u5fdc\u7528\u306f\u3001\u8907\u6570\u306e\u5909\u6570\u3092\u542b\u3080\u95a2\u6570\u306e\u7a4d\u5206\u3001\u3064\u307e\u308a\u4e8c\u91cd\u7a4d\u5206\u3001\u4e09\u91cd\u7a4d\u5206\u306a\u3069\u306b\u898b\u3089\u308c\u307e\u3059\u3002\u30e4\u30b3\u30d3\u884c\u5217\u306e\u884c\u5217\u5f0f\u306b\u3088\u308a\u3001\u6b21\u306e\u5f0f\u306b\u5f93\u3063\u3066<span style=\"color:#1976d2;\"><strong>\u91cd\u7a4d\u5206\u306e\u5909\u6570\u3092\u5909\u66f4<\/strong><\/span>\u3067\u304d\u308b\u305f\u3081\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-32b139ab326a616a77e4b30bd6123cea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x=T(x^*)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" 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-fc466e0a77ffd809702bfbff6981115d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int_\\Omega  f(x)dx=\\int_{\\Omega^*} f\\bigl(T(x^*)\\bigr)\\cdot \\begin{vmatrix} \\text{det}\\bigl(JT(x^*)\\bigr)\\end{vmatrix} dx^*\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"352\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u3067\u3001 T \u306f\u3001\u5143\u306e\u5909\u6570\u3092\u65b0\u3057\u3044\u5909\u6570\u306b\u95a2\u9023\u4ed8\u3051\u308b\u5909\u6570\u5909\u66f4\u95a2\u6570\u3067\u3059\u3002<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u30e4\u30b3\u30d3\u884c\u5217\u306f\u95a2\u6570\u306e<span style=\"color:#1976d2;\"><strong>\u7dda\u5f62\u8fd1\u4f3c<\/strong><\/span>\u3092\u884c\u3046\u305f\u3081\u306b\u3082\u4f7f\u7528\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-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u70b9\u306e\u5468\u308a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-65ba36b611b690e470a1f4c464200fbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x) \\approx f(p) + J_f(p)(x-p)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -6px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u305d\u308c\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u7df4\u7fd2\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306b\u95a2\u3059\u308b\u3044\u304f\u3064\u304b\u306e\u6f14\u7fd2\u554f\u984c\u304c\u89e3\u6c7a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217\u306e\u884c\u5217\u5f0f\u3067\u3042\u308b\u30e4\u30b3\u30d3\u30a2\u30f3\u304c\u306a\u305c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e3%83%a4%e3%82%b3%e3%83%93%e3%82%a2%e3%83%b3%e8%a1%8c%e5%88%97%e3%83%a4%e3%82%b3%e3%83%93%e3%82%a2%e3%83%b3\/\"> <span class=\"screen-reader-text\">\u30e4\u30b3\u30d3\u30a2\u30f3\u3068\u30e4\u30b3\u30d3\u30a2\u30f3\u884c\u5217<\/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":[19],"tags":[],"class_list":["post-328","post","type-post","status-publish","format-standard","hentry","category-19"],"yoast_head":"<!-- This site is optimized 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