\u504f\u5fae\u5206 – Wikipedia<\/a> \u306a\u3069\u3092\u53c2\u7167\u3002\uff09<\/p>\n$$ \\frac{\\partial z}{\\partial x}, \\quad \\frac{\\partial f}{\\partial x}, \\quad \\frac{\\partial}{\\partial x} f(x, y), \\quad f_x, \\quad f_x(x,y)$$<\/p>\n
\\(f_x, \\\u00a0 f_x(x, y) \\) \u3082\u30c6\u30ad\u30b9\u30c8\u306b\u3088\u3063\u3066\u306f\u3088\u304f\u4f7f\u308f\u308c\u308b\u30021\u5909\u6570\u306e\u5fae\u5206\u3092 \\( f'(x) \\) \u3067\u66f8\u3044\u305f\u3088\u3046\u306b\uff0c\u504f\u5fae\u5206\u3082\uff08\u4e0a\u4e0b\u306b\u30b9\u30da\u30fc\u30b9\u3092\u3068\u3089\u305a\u306b\uff09\\(f’ (x, y) \\) \u306a\u3069\u3068\u66f8\u304d\u305f\u3044\u304c\uff0c\\({}’\\) \u3067\u306f \\(x\\) \u3067\u306e\u504f\u5fae\u5206\u304b \\(y\\) \u3067\u306e\u504f\u5fae\u5206\u304b\u308f\u304b\u3089\u306a\u3044\u306e\u3067\uff0c\u4e0b\u6dfb\u5b57 \\({}_x\\) \u3067 \\(x\\) \u3067\u306e\u504f\u5fae\u5206\u3067\u3059\u3088\uff0c\u3068\u8868\u3057\u3066\u3044\u308b\u3002<\/p>\n
\u3053\u306e\u3088\u3046\u306b\uff0c\u7701\u30b9\u30da\u30fc\u30b9\u306a \\(f_x(x,y)\\) \u3068\u3044\u3046\u8868\u8a18\u3067\u3042\u308b\u304c\uff0c\u79c1\u306e\u6388\u696d\u3067\u306f\u4ee5\u4e0b\u306e\u7406\u7531\u3067\u3053\u306e\u8868\u8a18\u3092\u4f7f\u308f\u306a\u3044\u3053\u3068\u306b\u3059\u308b\u3002<\/p>\n
\u305d\u306e\u7406\u7531\uff1a\\(f_x(x,y)\\) \u306f\u30d9\u30af\u30c8\u30eb \\(\\boldsymbol{f} = (f_x, f_y, f_x)\\) \u306e\\(x\\) \u6210\u5206\u3068\u6df7\u540c\u3057\u3066\u3057\u307e\u3046\u3067\u3057\u3087\u3002<\/p>\n
\u4e00\u822c\u76f8\u5bfe\u8ad6\u696d\u754c\u3067\u3088\u304f\u4f7f\u308f\u308c\u3066\u3044\u308b\u8868\u8a18\u6cd5<\/h3>\n
\u504f\u5fae\u5206\u3092\u591a\u7528\u3059\u308b\u4e00\u822c\u76f8\u5bfe\u8ad6\u696d\u754c\u3067\u306f\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u8868\u8a18\u304c\u4f7f\u308f\u308c\u308b\u3002<\/p>\n
$$ \\frac{\\partial f}{\\partial x} = \\partial_x f = f_{,x} $$<\/p>\n
\u3053\u308c\u3060\u3068\uff0c\u4e0a\u4e0b\u306b\u30b9\u30da\u30fc\u30b9\u3092\u3068\u308b \\(\\displaystyle \\frac{\\partial}{\\partial x}\\) \u306e\u304b\u308f\u308a\u306b1\u884c\u3067\u7701\u30b9\u30da\u30fc\u30b9\u306a \\(\\partial_x\\) \u3084\uff0c\u30d9\u30af\u30c8\u30eb\u306e \\(x\\) \u6210\u5206\u3068\u7d1b\u3089\u308f\u3057\u3044 \\(f_x\\) \u306e\u304b\u308f\u308a\u306b\uff0c\u30ab\u30f3\u30de\u3092\u5148\u306b\u6253\u3063\u3066 \\(x\\) \u6210\u5206\u3067\u306f\u306a\u304f\uff0c\\(x\\) \u504f\u5fae\u5206\u3060\u3068\u306f\u3063\u304d\u308a\u3059\u308b\u3002\u3053\u308c\u3060\u3068\uff0c\u305f\u3068\u3048\u3070\u30d9\u30af\u30c8\u30eb \\(\\boldsymbol{E} = (E_x, E_y, E_x)\\) \u306e \\(x\\) \u6210\u5206\u3067\u3042\u308b \\(E_x\\) \u3092 \\(x\\) \u3067\u504f\u5fae\u5206\u3059\u308b\u3068\u304d\u306b\u3082<\/p>\n
$$\\frac{\\partial E_x}{\\partial x} = E_{x,x}$$<\/p>\n
\u3068\u7701\u30b9\u30da\u30fc\u30b9\u304b\u3064\u307e\u304e\u3089\u308f\u3057\u3055\u304c\u306a\u3044\u3002\u5225\u306b\u4e00\u822c\u76f8\u5bfe\u8ad6\u3092\u6301\u3061\u51fa\u3055\u306a\u304f\u3066\u3082\uff0c\u96fb\u78c1\u6c17\u5b66\u306a\u3069\u306e\u30d9\u30af\u30c8\u30eb\u89e3\u6790\u3067\u306f\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u306e\u504f\u5fae\u5206\u3068\u3044\u3046\u306e\u304c\u666e\u901a\u306b\u73fe\u308c\u308b\u306e\u3067\uff0c$E_x$ \u306e $x$-\u504f\u5fae\u5206\u3092 $E_{xx}$ \u306a\u3069\u3068\u66f8\u304f\u65b9\u6cd5\u306f\u7834\u7dbb\u3059\u308b\u306e\u304c\u660e\u3089\u304b\u3067\u3042\u308a\uff0c\u504f\u5fae\u5206\u306e\u6559\u79d1\u66f8\u306b\u3057\u304b\u73fe\u308c\u306a\u3044\u3053\u306e\u8868\u8a18\u6cd5\u306f\u3084\u3081\u3066\uff0c\u4e00\u822c\u76f8\u5bfe\u8ad6\u696d\u754c\u3067\u4f7f\u308f\u308c\u308b\u8868\u8a18<\/p>\n
$$ \\frac{\\partial E_x}{\\partial x} = \\partial_x E_x = E_{x, x} $$<\/p>\n
\u3092\u3082\u3063\u3068\u5e83\u3081\u308b\u3079\u304d\u3067\u3042\u308b\uff01\u3068\u601d\u3046\u306e\u3067\u3059\u304c\uff0c\u3069\u3046\u3067\u3057\u3087\uff1f<\/p>\n","protected":false},"excerpt":{"rendered":"
\\(\\displaystyle \\frac{\\partial f}{\\partial x}\\) \u3092\u8868\u3059\u5225\u306e\u66f8\u304d\u65b9\u306e\u307e\u3068\u3081\u3002\u30c6\u30ad\u30b9\u30c8\u306b\u3088\u3063\u3066\u306f\uff0c2\u5909\u6570\u95a2\u6570 \\(z = f(x,y)\\) \u306e \\(x\\)-\u504f\u5c0e\u95a2\u6570\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u8a18\u53f7\u30fb\u8868\u8a18\u3067\u8868\u3059\u5834\u5408\u304c\u3042\u308b\u3002<\/p>\n
$$ \\frac{\\partial z}{\\partial x}, \\quad \\frac{\\partial f}{\\partial x}, \\quad \\frac{\\partial}{\\partial x} f(x, y), \\quad f_x, \\quad f_x(x,y)$$<\/p>
\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":2226,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-2311","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2311","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=2311"}],"version-history":[{"count":7,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2311\/revisions"}],"predecessor-version":[{"id":9203,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2311\/revisions\/9203"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/2226"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=2311"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}