\u3069\u3061\u3089\u306e\u554f\u984c\u3082 \\(p\\sin x+q\\cos x\\) \u578b\u306e\u5f0f\u3067\u3059\u304c\u3001\u554f\u984c1\u306e\u65b9\u306f\u3001\\(p\\), \\(q\\) \u306b\u76f8\u5f53\u3059\u308b\u5024\u304c\u5b9a\u6570\u3067\u3042\u308b\u306e\u306b\u5bfe\u3057\u3001\u554f\u984c 2 \u306f \\(x\\) \u306e\u5165\u3063\u305f\u5f0f\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002
\n\u3057\u305f\u304c\u3063\u3066\u3001\u554f\u984c1\u306e\u5834\u5408\u306f\u3001\u4e09\u89d2\u95a2\u6570\u3060\u3051\u304b\u3089\u306a\u308b\u5f0f\u306a\u306e\u3067\u3001\u3053\u306e\u3088\u3046\u306a\u5834\u5408\u306f\u4e09\u89d2\u95a2\u6570\u306e\u8af8\u516c\u5f0f(\u52a0\u6cd5\u5b9a\u7406\u30fb2\u500d\u89d2\u306e\u516c\u5f0f\u30fb\u534a\u89d2\u306e\u516c\u5f0f\u306a\u3069) \u304c\u6d3b\u304b\u305b\u306a\u3044\u304b\u3092\u307e\u305a\u8003\u3048\u3066\u307f\u308b\u3068\u3088\u3044\u3067\u3057\u3087\u3046\u3002\u3053\u308c\u306b\u5bfe\u3057\u3001\u554f\u984c2\u306e\u65b9\u306f\u591a\u9805\u5f0f\u3068\u4e09\u89d2\u95a2\u6570\u304c\u7d44\u307f\u5408\u308f\u3055\u3063\u305f\u5f0f\u306b\u306a\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u3053\u306e\u3088\u3046\u306a\u5834\u5408\u306f\u4e09\u89d2\u95a2\u6570\u306e\u516c\u5f0f\u3092\u4f7f\u3063\u3066\u3082\u3046\u307e\u304f\u3044\u304b\u306a\u3044\u3053\u3068\u304c\u591a\u304f\u5fae\u5206\u3092\u4f7f\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002
\n\u554f\u984c1\u306e\u3088\u3046\u306a\u300c\u4e09\u89d2\u95a2\u6570\u3060\u3051\u300d\u304b\u3089\u306a\u308b\u5f0f\u306e\u5834\u5408\u3082\u5fae\u5206\u3092\u4f7f\u3046\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u304c\u3001\u305d\u306e\u524d\u306b\u4e09\u89d2\u95a2\u6570\u306e\u516c\u5f0f\u3060\u3051\u3067\u89e3\u6c7a\u3067\u304d\u306a\u3044\u304b\u3092\u8003\u3048\u308b\u3053\u3068\u3092\u52e7\u3081\u307e\u3059\u3002<\/p>\n
\u5ff5\u306e\u305f\u3081\u89e3\u7b54\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 \u3010\u554f\u984c2\u3011 \u3057\u305f\u304c\u3063\u3066, \u6700\u5927\u5024\u306f \\(x=\\displaystyle\\frac{\\pi}{2}\\) \u306e\u3068\u304d\u306b\u3068\u308b \\(\\displaystyle\\frac{\\pi}{2}\\) \u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":" \u3069\u3061\u3089\u306e\u554f\u984c\u3082 \\(p\\sin x+q\\cos x\\) \u578b\u306e\u5f0f\u3067\u3059\u304c\u3001\u554f\u984c1\u306e\u65b9\u306f\u3001\\(p\\), \\(q\\) \u306b\u76f8\u5f53\u3059\u308b\u5024\u304c\u5b9a\u6570\u3067\u3042\u308b\u306e\u306b\u5bfe\u3057\u3001\u554f\u984c 2 \u306f \\(x\\) \u306e\u5165\u3063\u305f\u5f0f\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002 \u3057\u305f\u304c\u3063\u3066\u3001\u554f\u984c1\u306e\u5834 […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,4,19],"tags":[],"class_list":["post-1383","post","type-post","status-publish","format-standard","hentry","category-7","category-4","category-19"],"_links":{"self":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1383","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1383"}],"version-history":[{"count":29,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1383\/revisions"}],"predecessor-version":[{"id":1793,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1383\/revisions\/1793"}],"wp:attachment":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1383"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1383"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\u3010\u554f\u984c1\u3011
\n\\(f(x)\\) \u3092\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u884c\u306a\u3063\u3066\u3001
\n\\(f(x)=\\sqrt{a^{2}+(4-a^{2})}\\sin (x+\\alpha)\\)
\n \\(=2\\sin (x+\\alpha )\\)<\/span>
\n\u3068\u5909\u5f62\u3057\u307e\u3059\u3002\u305f\u3060\u3057\u3001\\(\\alpha\\) \u306f \\(\\cos\\alpha =\\displaystyle\\frac{a}{2}\\), \\(\\sin \\alpha =\\displaystyle\\frac{\\sqrt{4-a^{2}}}{2}\\) \u3092\u6e80\u305f\u3059\u5b9f\u6570\u3068\u3057\u307e\u3059\u3002\\(x\\) \u306e\u53d6\u308a\u3046\u308b\u7bc4\u56f2\u306f, \\(0\\leqq x\\leqq 2\\pi\\) \u3067\u3059\u304b\u3089 \\(\\sin (x+\\alpha )=1\\) \u3068\u306a\u308b\u3053\u3068\u304c\u3067\u304d\u3066\u3001\u3053\u306e\u3068\u304d \\(f(x)\\) \u306f\u6700\u5927\u5024 2 \u3092\u3068\u308a\u307e\u3059\u3002<\/p>\n
\n\\(f'(x)=\\sin x+x\\cos x-\\sin x=x\\cos x\\) \u3067\u3059\u304b\u3089, \\(f(x)\\) \u306e\u5897\u6e1b\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n
\n \\(x\\)<\/td>\n <\/td>\n 0<\/td>\n \\(\\cdots\\)<\/td>\n \\(\\frac{\\pi}{2}\\)<\/td>\n \\(\\cdots\\)<\/td>\n \\(\\frac{3}{2}\\pi\\)<\/td>\n \\(\\cdots\\)<\/td>\n \\(2\\pi \\)<\/td>\n<\/tr>\n \n \\(f'(x)\\)<\/td>\n <\/td>\n <\/td>\n +<\/td>\n 0<\/td>\n –<\/td>\n 0<\/td>\n +<\/td>\n <\/td>\n<\/tr>\n \n \\(f(x)\\)<\/td>\n <\/td>\n \u00a01<\/td>\n \\(\\nearrow\\)<\/td>\n <\/td>\n \\(\\searrow\\)<\/td>\n <\/td>\n \\(\\nearrow\\)<\/td>\n \u00a01<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n