{"id":2286,"date":"2026-04-25T02:39:11","date_gmt":"2026-04-25T02:39:11","guid":{"rendered":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-12-chuong-1-ung-dung-dao-ham-ham-so\/"},"modified":"2026-04-25T02:39:11","modified_gmt":"2026-04-25T02:39:11","slug":"toan-12-chuong-1-ung-dung-dao-ham-ham-so","status":"publish","type":"post","link":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-12-chuong-1-ung-dung-dao-ham-ham-so\/","title":{"rendered":"To\u00e1n 12 Ch\u01b0\u01a1ng 1: \u1ee8ng D\u1ee5ng \u0110\u1ea1o H\u00e0m \u0110\u1ec3 Kh\u1ea3o S\u00e1t V\u00e0 V\u1ebd \u0110\u1ed3 Th\u1ecb C\u1ee7a H\u00e0m S\u1ed1"},"content":{"rendered":"
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Chia s\u1ebb t\u00e0i li\u1ec7u To\u00e1n 12 Ch\u01b0\u01a1ng 1: \u1ee8ng D\u1ee5ng \u0110\u1ea1o H\u00e0m \u0110\u1ec3 Kh\u1ea3o S\u00e1t V\u00e0 V\u1ebd \u0110\u1ed3 Th\u1ecb C\u1ee7a H\u00e0m S\u1ed1 c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft, b\u00e1m s\u00e1t ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi.<\/p>\n

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<\/div>\n<\/div>\n

<\/span>N\u1ed9i dung t\u00e0i li\u1ec7u ch\u01b0\u01a1ng \u1ee8ng D\u1ee5ng \u0110\u1ea1o H\u00e0m \u0110\u1ec3 Kh\u1ea3o S\u00e1t V\u00e0 V\u1ebd \u0110\u1ed3 Th\u1ecb C\u1ee7a H\u00e0m S\u1ed1<\/span><\/h2>\n

B\u1ed9 t\u00e0i li\u1ec7u g\u1ed3m c\u00e1c file PDF t\u1eadp trung v\u00e0o n\u1ed9i dung ch\u01b0\u01a1ng 1 c\u1ee7a s\u00e1ch gi\u00e1o khoa To\u00e1n 12 \u201c\u1ee8ng d\u1ee5ng \u0110\u1ea1o h\u00e0m \u0111\u1ec3 Kh\u1ea3o s\u00e1t H\u00e0m s\u1ed1\u201d (Phi\u00ean b\u1ea3n 2025-2026). C\u00e1c t\u00e0i li\u1ec7u bao g\u1ed3m c\u1ea3 \u0111\u1ec1 b\u00e0i v\u00e0 l\u1eddi gi\u1ea3i chi ti\u1ebft, ph\u00e2n lo\u1ea1i theo t\u1eebng b\u00e0i h\u1ecdc v\u00e0 d\u1ea1ng b\u00e0i t\u1eadp, c\u00f9ng v\u1edbi c\u00e1c \u0111\u1ec1 ki\u1ec3m tra cu\u1ed1i ch\u01b0\u01a1ng.<\/p>\n

C\u00e1c chuy\u00ean \u0111\u1ec1 ch\u01b0\u01a1ng 1 To\u00e1n 12:<\/strong><\/p>\n

\n\n\n\n\n\n\n\n\n\n
Ti\u00eau \u0111\u1ec1<\/th>\nM\u00f4 t\u1ea3<\/th>\n<\/tr>\n<\/thead>\n
T\u00ednh \u0110\u01a1n \u0110i\u1ec7u v\u00e0 C\u1ef1c Tr\u1ecb c\u1ee7a H\u00e0m s\u1ed1<\/td>\nBao g\u1ed3m c\u00e1c kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n v\u1ec1 t\u00ednh \u0111\u1ed3ng bi\u1ebfn, ngh\u1ecbch bi\u1ebfn, c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1, c\u00e1c \u0111\u1ecbnh l\u00fd li\u00ean quan \u0111\u1ebfn d\u1ea5u c\u1ee7a \u0111\u1ea1o h\u00e0m $f'(x)$, v\u00e0 ph\u01b0\u01a1ng ph\u00e1p s\u1eed d\u1ee5ng b\u1ea3ng bi\u1ebfn thi\u00ean \u0111\u1ec3 x\u00e9t t\u00ednh \u0111\u01a1n \u0111i\u1ec7u v\u00e0 c\u1ef1c tr\u1ecb.<\/td>\n<\/tr>\n
Gi\u00e1 tr\u1ecb L\u1edbn nh\u1ea5t v\u00e0 Gi\u00e1 tr\u1ecb Nh\u1ecf nh\u1ea5t c\u1ee7a H\u00e0m s\u1ed1<\/td>\nTr\u00ecnh b\u00e0y \u0111\u1ecbnh ngh\u0129a v\u1ec1 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t (max) v\u00e0 gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t (min) c\u1ee7a h\u00e0m s\u1ed1 tr\u00ean m\u1ed9t t\u1eadp h\u1ee3p, \u0111\u1eb7c bi\u1ec7t l\u00e0 tr\u00ean m\u1ed9t \u0111o\u1ea1n $[\\mathrm{a}; \\mathrm{b}]$.
T\u00e0i li\u1ec7u h\u01b0\u1edbng d\u1eabn c\u00e1c b\u01b0\u1edbc t\u00ecm max, min b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng \u0111\u1ea1o h\u00e0m v\u00e0 b\u1ea3ng bi\u1ebfn thi\u00ean, v\u00e0 \u00e1p d\u1ee5ng v\u00e0o c\u00e1c b\u00e0i to\u00e1n th\u1ef1c ti\u1ec5n.<\/td>\n<\/tr>\n
\u0110\u01b0\u1eddng Ti\u1ec7m C\u1eadn c\u1ee7a \u0110\u1ed3 th\u1ecb H\u00e0m s\u1ed1<\/td>\nT\u1eadp trung v\u00e0o c\u00e1c lo\u1ea1i ti\u1ec7m c\u1eadn: ti\u1ec7m c\u1eadn ngang, ti\u1ec7m c\u1eadn \u0111\u1ee9ng v\u00e0 ti\u1ec7m c\u1eadn xi\u00ean. C\u00e1c t\u00e0i li\u1ec7u gi\u1ea3i th\u00edch \u0111\u1ecbnh ngh\u0129a v\u00e0 ph\u01b0\u01a1ng ph\u00e1p t\u00ecm t\u1eebng lo\u1ea1i ti\u1ec7m c\u1eadn th\u00f4ng qua gi\u1edbi h\u1ea1n, k\u00e8m theo v\u00ed d\u1ee5 minh h\u1ecda.<\/td>\n<\/tr>\n
Kh\u1ea3o s\u00e1t v\u00e0 V\u1ebd \u0110\u1ed3 th\u1ecb H\u00e0m s\u1ed1<\/td>\n\u0110\u01b0a ra s\u01a1 \u0111\u1ed3 t\u1ed5ng qu\u00e1t c\u00e1c b\u01b0\u1edbc kh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1, t\u1eadp trung v\u00e0o h\u00e0m s\u1ed1 \u0111a th\u1ee9c b\u1eadc ba v\u00e0 h\u00e0m ph\u00e2n th\u1ee9c h\u1eefu t\u1ec9.
Ph\u1ea7n n\u00e0y c\u0169ng bao g\u1ed3m c\u00e1c \u1ee9ng d\u1ee5ng c\u1ee7a \u0111\u1ea1o h\u00e0m \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 th\u1ef1c ti\u1ec5n nh\u01b0 t\u1ed1c \u0111\u1ed9 thay \u0111\u1ed5i t\u1ee9c th\u1eddi, chi ph\u00ed bi\u00ean, v\u1eadn t\u1ed1c v\u00e0 gia t\u1ed1c<\/td>\n<\/tr>\n
\u0110\u1ec1 ki\u1ec3m tra Cu\u1ed1i ch\u01b0\u01a1ng<\/td>\nCh\u1ee9a c\u00e1c \u0111\u1ec1 ki\u1ec3m tra t\u1ed5ng h\u1ee3p ki\u1ebfn th\u1ee9c c\u1ee7a ch\u01b0\u01a1ng 1, v\u1edbi c\u1ea3 ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u ph\u01b0\u01a1ng \u00e1n v\u00e0 tr\u1eafc nghi\u1ec7m \u0110\u00fang\/Sai, gi\u00fap ng\u01b0\u1eddi h\u1ecdc t\u1ef1 \u0111\u00e1nh gi\u00e1 ki\u1ebfn th\u1ee9c.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n

Xem tr\u01b0\u1edbc t\u00e0i li\u1ec7u:<\/strong><\/p>\n

\"\u1ee8ng<\/figure>\n

<\/span>T\u1ea3i t\u00e0i li\u1ec7u To\u00e1n 12 Ch\u01b0\u01a1ng 1: \u1ee8ng D\u1ee5ng \u0110\u1ea1o H\u00e0m \u0110\u1ec3 Kh\u1ea3o S\u00e1t V\u00e0 V\u1ebd \u0110\u1ed3 Th\u1ecb C\u1ee7a H\u00e0m S\u1ed1<\/span><\/h2>\n

C\u00e1c b\u1ea1n c\u00f3 th\u1ec3 t\u1ea3i t\u00e0i li\u1ec7u \u00f4n t\u1eadp mi\u1ec5n ph\u00ed \u1edf \u0111\u00e2y nh\u00e9<\/p>\n

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T\u1ea2I T\u00c0I LI\u1ec6U (\u0110\u1ec0 + \u0110\u00c1P \u00c1N)<\/strong><\/a><\/div>\n<\/div>\n

Tham kh\u1ea3o: 500 c\u00e2u b\u00e0i t\u1eadp b\u1ea5t \u0111\u1eb3ng th\u1ee9c ch\u1ecdn l\u1ecdc 10, 11, 12<\/a><\/strong><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Chia s\u1ebb t\u00e0i li\u1ec7u To\u00e1n 12 Ch\u01b0\u01a1ng 1: \u1ee8ng D\u1ee5ng \u0110\u1ea1o H\u00e0m \u0110\u1ec3 Kh\u1ea3o S\u00e1t V\u00e0 V\u1ebd \u0110\u1ed3 Th\u1ecb C\u1ee7a H\u00e0m S\u1ed1 c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft, b\u00e1m s\u00e1t ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi. N\u1ed9i dung t\u00e0i li\u1ec7u ch\u01b0\u01a1ng \u1ee8ng D\u1ee5ng \u0110\u1ea1o H\u00e0m \u0110\u1ec3 Kh\u1ea3o S\u00e1t V\u00e0 V\u1ebd \u0110\u1ed3 Th\u1ecb C\u1ee7a H\u00e0m S\u1ed1 B\u1ed9 t\u00e0i li\u1ec7u g\u1ed3m […]\n","protected":false},"author":1,"featured_media":2284,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22,23,26],"tags":[],"class_list":["post-2286","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tai-lieu-thpt","category-tai-lieu-toan","category-toan-12"],"_links":{"self":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/2286","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/comments?post=2286"}],"version-history":[{"count":0,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/2286\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2284"}],"wp:attachment":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=2286"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=2286"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=2286"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}