{"id":1830,"date":"2024-05-29T10:25:01","date_gmt":"2024-05-29T01:25:01","guid":{"rendered":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/?p=1830"},"modified":"2024-06-26T15:43:59","modified_gmt":"2024-06-26T06:43:59","slug":"top-math2-2q4h-2","status":"publish","type":"post","link":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/?p=1830","title":{"rendered":"\u6570\u5b66II_2Q4H_2"},"content":{"rendered":"\n
\n
\n\n\n\n\n
 <\/span><\/td>\n <\/span><\/td>\n <\/span><\/td>\n <\/span><\/td>\nBack<\/span><\/a><\/td>\n<\/tr>\n
 <\/span><\/td>\n <\/span><\/td>\n <\/span><\/td>\n <\/span><\/td>\n\u518d\u751f\u30ea\u30b9\u30c8<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n\n\n\n\n\n\n\n
\u30c6\u30ad\u30b9\u30c8<\/span><\/td>\n\u6f14\u7fd2<\/span><\/td>\n\u6f14\u7fd2\u89e3\u7b54<\/span><\/td>\n\u8ab2\u984c<\/span><\/td>\n\u89e3\u8aac<\/span><\/td>\n<\/tr>\n
2Q4H_7<\/a><\/td>\n2Q4H_E7<\/a><\/td>\n2Q4H_ES7<\/a><\/td>\n2Q4H_K7<\/a><\/td>\n2Q4H_V7<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
<\/span> $y=f(x)$ \u306e $x=a$ \u3067\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f $=?$ <\/div>
$y-f(a)=f'(a)(x-a)$<\/span> <\/div><\/div>
<\/span>Targets<\/div>
1. \u66f2\u7dda $y=f(x)=(\u591a\u9805\u5f0f), e^f, {\\mathrm{log}}f, \\sqrt{f}, {\\mathrm{Sin}}^{-1}f, {\\mathrm{cos}}^{-1}f, {\\mathrm{Tan}}^{-1}f$
\u306e\u6307\u5b9a\u3055\u308c\u305f(\u63a5)\u70b9\u306b\u304a\u3051\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f<\/span>\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b<\/div><\/div> <\/div>\n
\n\n\n\n\n\n
2Q4H_8<\/a><\/td>\n2Q4H_E8<\/a><\/td>\n2Q4H_ES8<\/a><\/td>\n2Q4H_K8<\/a><\/td>\n2Q4H_V8<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n
<\/span> $y=(3\u6b21\u5f0f)$ \u306e\u5897\u6e1b\u30fb\u6975\u5024\u30fb\u30b0\u30e9\u30d5 $=?$ <\/div>
$\\begin{matrix} f'(x) & + & -\\\\ f(x) & \\nearrow & \\searrow \\\\ \\end{matrix} $<\/span><\/div><\/div>
<\/span>Targets<\/div>
1. \u95a2\u6570 $y=(3\u6b21\u5f0f)$ \u306e\u5897\u6e1b\u30fb\u6975\u5024\u3092\u8abf\u3079\u3066\u30b0\u30e9\u30d5<\/span>\u3092\u304b\u304f\u3053\u3068\u304c\u3067\u304d\u308b <\/div><\/div> <\/div>\n
\n\n\n\n\n\n\n
2Q4H_9<\/a><\/td>\n2Q4H_E9<\/a><\/td>\n2Q4H_ES9<\/a><\/td>\n2Q4H_K9<\/a><\/td>\n2Q4H_V9<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n
<\/span> $y=(4\u6b21\u5f0f)$ \u306e\u5897\u6e1b\u30fb\u6975\u5024\u30fb\u30b0\u30e9\u30d5 $=?$ <\/div>
$\\begin{matrix} f'(x) & + & -\\\\ f(x) & \\nearrow & \\searrow \\\\ \\end{matrix} $<\/span><\/div><\/div>
<\/span>Targets<\/div>
1. \u95a2\u6570 $y=(4\u6b21\u5f0f)$ \u306e\u5897\u6e1b\u30fb\u6975\u5024\u3092\u8abf\u3079\u3066\u30b0\u30e9\u30d5<\/span>\u3092\u304b\u304f\u3053\u3068\u304c\u3067\u304d\u308b <\/div><\/div> <\/div>\n
\n\n\n\n\n\n
2Q4H_10<\/a><\/td>\n2Q4H_E10<\/a><\/td>\n2Q4H_ES10<\/a><\/td>\n2Q4H_K10<\/a><\/td>\n2Q4H_V10<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n
<\/span> $y=f(x)$ \u306e\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024 $=?$ <\/div>
$\\begin{matrix} f'(x) & + & -\\\\ f(x) & \\nearrow & \\searrow \\\\ \\end{matrix} $<\/span><\/div><\/div>
<\/span>Targets<\/div>
1. \u6307\u5b9a\u3055\u308c\u305f\u533a\u9593\u3067\u5897\u6e1b\u8868\u3092\u304b\u3044\u3066
\u95a2\u6570 $y=f(x)$ \u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024<\/span>\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b <\/div><\/div> <\/div>\n
\n\n\n\n\n\n\n
2Q4H_11<\/a><\/td>\n2Q4H_E11<\/a><\/td>\n2Q4H_ES11<\/a><\/td>\n2Q4H_K11<\/a><\/td>\n2Q4H_V11<\/a><\/td>\n<\/tr>\n
\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n2Q4H_pf11<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
<\/span>  \u4e0d\u5b9a\u5f62 $0\/0,\u221e\/\u221e$ \u306e\u6975\u9650 $=?$ \uff08\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\uff09<\/div>
$\\displaystyle{\\lim_{x\\to a}}\\dfrac{f(x)}{g(x)}\\underset{\\dfrac{0}{0},\\dfrac{\\infty}{\\infty}}{=}\\displaystyle{\\lim_{x\\to a}}\\dfrac{f'(x)}{g'(x)} $<\/span><\/div><\/div>
<\/span>Targets<\/div>
1. \u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406<\/span>\u3092\u7528\u3044\u3066\u4e0d\u5b9a\u5f62 $\\dfrac{0}{0}, \\dfrac{\\infty}{\\infty}$ \u306e\u6975\u9650\u5024\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b<\/div><\/div> <\/div>\n
\n\n\n\n\n\n\n\n\n
2Q4H_12<\/a><\/td>\n2Q4H_E12<\/a><\/td>\n2Q4H_ES12<\/a><\/td>\n2Q4H_K12<\/a><\/td>\n2Q4H_V12_1<\/a><\/td>\n<\/tr>\n
 <\/td>\n <\/td>\n <\/td>\n <\/td>\n2Q4H_V12_2<\/a><\/td>\n<\/tr>\n
 <\/td>\n <\/td>\n <\/td>\n <\/td>\n2Q4H_V12_3<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n
<\/span> \u5fae\u5206\u8a08\u7b97\u306e\u7dcf\u5408\u554f\u984c <\/div>
$(c)’=0, (x)’=1, (x^n)’=nx^{n-1}, (fg)’=f’g+fg’, \\left(\\dfrac{f}{g}\\right)^{\\prime}=\\dfrac{f’g-fg’}{g^2}$
$({\\mathrm{log}}x)’=({\\mathrm{log}}|x|)’=\\dfrac{1}{x}, ({\\mathrm{log}}_a x)’=\\dfrac{1}{x{\\mathrm{log}}a}, (a^x)’=a^x{\\mathrm{log}}a, (e^x)’=e^x$
$({\\mathrm{sin}}x)’={\\mathrm{cos}}x, ({\\mathrm{cos}}x)’=-{\\mathrm{sin}}x, ({\\mathrm{tan}}x)’=\\dfrac{1}{{\\mathrm{cos}}^2x}, ({\\mathrm{cot}}x)’=\\dfrac{-1}{{\\mathrm{sin}}^2x}$
$({\\mathrm{Sin}}^{-1}x)’=\\dfrac{1}{\\sqrt{1-x^2}}, ({\\mathrm{Cos}}^{-1}x)’=\\dfrac{-1}{\\sqrt{1-x^2}}, ({\\mathrm{Tan}}^{-1}x)’=\\dfrac{1}{x^2+1}$<\/span><\/div><\/div>
<\/span>Targets<\/div>
1. \u4eca\u307e\u3067\u5b66\u3093\u3060\u5fae\u5206\u516c\u5f0f\u3092\u5217\u6319\u3057\u3001\u5fae\u5206\u8a08\u7b97\u306e\u7dcf\u5408\u554f\u984c<\/span>\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b<\/div><\/div> <\/div>\n
\n\n\n\n\n\n
\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\nBack<\/span><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

        Back         \u518d\u751f\u30ea\u30b9\u30c8 \u30c6\u30ad\u30b9\u30c8 \u6f14\u7fd2 \u6f14\u7fd2\u89e3\u7b54 \u8ab2\u984c \u89e3\u8aac 2Q4H_7 2Q4H_E7 2Q4H_ES7 […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[43,42,14,4,8,34],"tags":[],"class_list":["post-1830","post","type-post","status-publish","format-standard","hentry","category-math2-2q4h-2","category-si","category-top","category-math2","category-math2-2q","category-math2-2q4h-1"],"_links":{"self":[{"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/posts\/1830","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1830"}],"version-history":[{"count":61,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/posts\/1830\/revisions"}],"predecessor-version":[{"id":2584,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/posts\/1830\/revisions\/2584"}],"wp:attachment":[{"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1830"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1830"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1830"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}