{"id":2319,"date":"2022-02-25T17:42:49","date_gmt":"2022-02-25T08:42:49","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=2319"},"modified":"2024-07-11T09:37:54","modified_gmt":"2024-07-11T00:37:54","slug":"%e9%ab%98%e6%ac%a1%ef%bc%88%e9%ab%98%e9%9a%8e%ef%bc%89%e5%81%8f%e5%b0%8e%e9%96%a2%e6%95%b0","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e7%90%86%e5%b7%a5%e7%b3%bb%e3%81%ae%e6%95%b0%e5%ad%a6c\/%e5%81%8f%e5%be%ae%e5%88%86%ef%bc%9a%e5%a4%9a%e5%a4%89%e6%95%b0%e9%96%a2%e6%95%b0%e3%81%ae%e5%be%ae%e5%88%86\/%e9%ab%98%e6%ac%a1%ef%bc%88%e9%ab%98%e9%9a%8e%ef%bc%89%e5%81%8f%e5%b0%8e%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u9ad8\u968e\u504f\u5c0e\u95a2\u6570"},"content":{"rendered":"

2\u5909\u6570\u95a2\u6570 \\( z = f(x,y) \\) \u306e2\u968e\u4ee5\u4e0a\u306e\u504f\u5fae\u5206\u306b\u3064\u3044\u3066\u3002
\n<\/p>\n

1\u968e\u504f\u5c0e\u95a2\u6570<\/h3>\n

$$ \\frac{\\partial f}{\\partial x}, \\quad \\frac{\\partial f}{\\partial y}$$<\/p>\n

2\u968e\u504f\u5c0e\u95a2\u6570<\/h3>\n

\\begin{eqnarray}
\n\\frac{\\partial}{\\partial x} \\left(\\frac{\\partial f}{\\partial x}\\right) &=& \\frac{\\partial^2 f}{\\partial x^2}\\\\
\n\\frac{\\partial}{\\partial x} \\left(\\frac{\\partial f}{\\partial y} \\right) &=& \\frac{\\partial^2 f}{\\partial x\\partial y}\\\\
\n\\frac{\\partial}{\\partial y} \\left(\\frac{\\partial f}{\\partial x} \\right) &=& \\frac{\\partial^2 f}{\\partial y\\partial x} \\\\
\n\\frac{\\partial}{\\partial y} \\left(\\frac{\\partial f}{\\partial y} \\right) &=& \\frac{\\partial^2 f}{\\partial y^2}
\n\\end{eqnarray}<\/p>\n

3\u968e\u504f\u5c0e\u95a2\u6570<\/h3>\n

$$ \\frac{\\partial}{\\partial x} \\left(\\frac{\\partial^2 f}{\\partial x\\partial y}\\right) = \\frac{\\partial^3 f}{\\partial x^2 \\partial y} , \\ \\ \\mbox{etc.}$$<\/p>\n

\u504f\u5fae\u5206\u306e\u9806\u5e8f\u306b\u95a2\u3059\u308b\u5b9a\u7406<\/h3>\n

2\u968e\u504f\u5c0e\u95a2\u6570\u306b\u3064\u3044\u3066\uff0c\u504f\u5fae\u5206\u306e\u9806\u5e8f\u3092\u5909\u3048\u3066\u3082\u3088\u3044\u3002\u3059\u306a\u308f\u3061\uff0c
\n$$\\frac{\\partial^2 f}{\\partial x\\partial y} = \\frac{\\partial^2 f}{\\partial y\\partial x}, $$<\/p>\n

3\u968e\u4ee5\u4e0a\u306e\u9ad8\u6b21\u504f\u5c0e\u95a2\u6570\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

2\u5909\u6570\u95a2\u6570 \\( z = f(x,y) \\) \u306e2\u968e\u4ee5\u4e0a\u306e\u504f\u5fae\u5206\u306b\u3064\u3044\u3066\u3002<\/p>

\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":33,"featured_media":0,"parent":2226,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-2319","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t