{"id":14055,"date":"2025-06-06T07:57:30","date_gmt":"2025-06-06T00:57:30","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=14055"},"modified":"2025-07-04T00:15:05","modified_gmt":"2025-07-03T17:15:05","slug":"tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/","title":{"rendered":"T\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 c\u01a1 b\u1ea3n \u0111\u1ea7y \u0111\u1ee7 nh\u1ea5t"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Cong_thuc_chuc_nang_co_ban\" >C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng c\u01a1 b\u1ea3n<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Cong_thuc_luong_giac\" >C\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Cong_thuc_tinh_toan_dao_ham_chinh\" >C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m ch\u00ednh<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Cong_thuc_tinh_toan_dan_xuat_cao\" >C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n d\u1eabn xu\u1ea5t cao<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Phai_sinh_va_ham_trong_toan_hoc\" >Ph\u00e1i sinh v\u00e0 h\u00e0m trong to\u00e1n h\u1ecdc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Cac_hinh_thuc_toan_hoc_ap_dung_cong_thuc_cua_ham_dao_ham_va_ham_tho\" >C\u00e1c h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u1ee7a h\u00e0m \u0111\u1ea1o h\u00e0m v\u00e0 h\u00e0m th\u00f4<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Mau_1_Su_dung_khai_niem_thuoc_tinh_phai_sinh\" >M\u1eabu 1: S\u1eed d\u1ee5ng kh\u00e1i ni\u1ec7m thu\u1ed9c t\u00ednh ph\u00e1i sinh<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Mau_2_Chung_minh_cac_phuong_trinh_lien_quan_den_dao_ham\" >M\u1eabu 2: Ch\u1ee9ng minh c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh li\u00ean quan \u0111\u1ebfn \u0111\u1ea1o h\u00e0m<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Mau_3_Biet_lien_he_viet_phuong_trinh_tiep_tuyen\" >M\u1eabu 3: Bi\u1ebft li\u00ean h\u1ec7, vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Mau_4_Viet_phuong_trinh_tiep_theo_khi_biet_he_so_goc\" >M\u1eabu 4: Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp theo khi bi\u1ebft h\u1ec7 s\u1ed1 g\u00f3c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Mau_5_Su_bat_binh_dang_va_phuong_trinh_voi_dao_ham\" >M\u1eabu 5: S\u1ef1 b\u1ea5t b\u00ecnh \u0111\u1eb3ng v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh v\u1edbi \u0111\u1ea1o h\u00e0m<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Mau_6_Su_dung_cong_thuc_chuc_nang\" >M\u1eabu 6: S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Mau_7_phai_sinh_cap_cao\" >M\u1eabu 7: ph\u00e1i sinh c\u1ea5p cao<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Mot_so_bai_tap_tu_dong\" >M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp t\u1ef1 \u0111\u1ed9ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Phai_sinh_va_ung_dung_cua_dao_ham\" >Ph\u00e1i sinh v\u00e0 \u1ee9ng d\u1ee5ng c\u1ee7a \u0111\u1ea1o h\u00e0m<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.ckconitsha.com\/vn\/tong-hop-cong-thuc-dao-ham-cua-cac-ham-so-co-ban-day-du-nhat\/#Phuong_phap_va_phuong_phap_giai_phap_nhanh_nhat\" >Ph\u01b0\u01a1ng ph\u00e1p v\u00e0 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u00e1p nhanh nh\u1ea5t<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>Trong ph\u00e2n t\u00edch to\u00e1n h\u1ecdc, \u0111\u1ea1o h\u00e0m l\u00e0 m\u1ed9t h\u00e0m m\u00f4 t\u1ea3 s\u1ef1 thay \u0111\u1ed5i t\u1ea1i m\u1ed9t \u0111i\u1ec3m. N\u00f3i c\u00e1ch kh\u00e1c, \u0111\u1ea1o h\u00e0m ch\u00ednh l\u00e0 t\u1ef7 l\u1ec7 c\u1ee7a s\u1ed1 v\u00e0 h\u00e0m t\u1ea1i m\u1ed9t \u0111i\u1ec3m x0. \u0110\u1ed9 l\u1edbn c\u1ee7a bi\u1ebfn th\u1ec3 v\u00e0 k\u00edch th\u01b0\u1edbc c\u1ee7a bi\u1ebfn cho th\u1ea5y gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1o h\u00e0m. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t b\u1ea3n t\u00f3m t\u1eaft c\u00e1c c\u00f4ng th\u1ee9c ph\u00e1i sinh v\u00e0 c\u00e1c v\u00ed d\u1ee5 chi ti\u1ebft. <\/p>\n<p>                        Xem t\u1ea5t c\u1ea3<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_chuc_nang_co_ban\"><\/span>C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng c\u01a1 b\u1ea3n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Trong qu\u00e1 tr\u00ecnh h\u1ecdc t\u1eadp, n\u1ebfu ki\u1ebfn \u200b\u200bth\u1ee9c kh\u00f4ng \u0111\u01b0\u1ee3c \u0111\u00e0o t\u1ea1o, n\u00f3 s\u1ebd nhanh ch\u00f3ng qu\u00ean \u0111i. \u0110i\u1ec1u t\u01b0\u01a1ng t\u1ef1 c\u0169ng x\u1ea3y ra v\u1edbi c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng, \u0111\u00e2y l\u00e0 b\u1ea3ng \u0111\u1ea7y \u0111\u1ee7 c\u00e1c c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng c\u01a1 b\u1ea3n bao g\u1ed3m: <\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">\u0110\u1ea1o h\u00e0m c\u1ee7a f (x) v\u1edbi x l\u00e0 bi\u1ebfn<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">\u0110\u1ea1o h\u00e0m c\u1ee7a f (u) v\u1edbi u l\u00e0 m\u1ed9t h\u00e0m<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">\u0110\u1ea1o h\u00e0m c\u1ee7a m\u1ed9t s\u1ed1 ph\u00e2n s\u1ed1 h\u1ee3p l\u00fd<\/p>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/2-cong-thuc-dao-ham.png\" alt=\"B\u1ea3ng c\u00f4ng th\u1ee9c ph\u00e1i sinh c\u01a1 b\u1ea3n (\u1ea3nh: thu th\u1eadp internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_luong_giac\"><\/span>C\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ea1o h\u00e0m c\u1ee7a n\u1ed9i dung l\u01b0\u1ee3ng gi\u00e1c v\u00e0 n\u1ed9i dung l\u01b0\u1ee3ng gi\u00e1c<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/3-cong-thuc-dao-ham.png\" alt=\"B\u1ea3ng c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_tinh_toan_dao_ham_chinh\"><\/span>C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m ch\u00ednh<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/cong-thuc-tinh-dao-ham-c.jpg\" alt=\"\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_tinh_toan_dan_xuat_cao\"><\/span>C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n d\u1eabn xu\u1ea5t cao<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/cong-thuc-tinh-dao-ham-d.jpg\" alt=\"\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phai_sinh_va_ham_trong_toan_hoc\"><\/span>Ph\u00e1i sinh v\u00e0 h\u00e0m trong to\u00e1n h\u1ecdc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Trong c\u00e1c th\u00f4ng tin tr\u00ean, \u0111\u1ed9c gi\u1ea3 \u0111\u00e3 l\u00e0m quen v\u1edbi kh\u00e1i ni\u1ec7m ph\u00e1i sinh. V\u1eady h\u00e0m trong to\u00e1n h\u1ecdc l\u00e0 g\u00ec? K\u1ebft n\u1ed1i v\u1edbi \u0111\u1ea1o h\u00e0m v\u00e0 nguy\u00ean b\u1ea3n l\u00e0 g\u00ec? <\/p>\n<p dir=\"ltr\">H\u00e0m ban \u0111\u1ea7u c\u1ee7a h\u00e0m th\u1ef1c t\u1ebf cho f l\u00e0 m\u1ed9t h\u00e0m f. H\u00e0m f c\u00f3 m\u1ed9t \u0111\u1ea1o h\u00e0m b\u1eb1ng f. S\u1ef1 kh\u00f4ng ch\u1eafc ch\u1eafn l\u00e0 qu\u00e1 tr\u00ecnh t\u00ecm ra h\u00e0m. T\u00ecm bi\u1ec3u th\u1ee9c cho h\u00e0m s\u1ebd kh\u00f3 h\u01a1n so v\u1edbi vi\u1ec7c t\u00ecm ki\u1ebfm \u0111\u1ea1o h\u00e0m.<\/p>\n<p dir=\"ltr\">Trong to\u00e1n h\u1ecdc g\u1ed1c, n\u00f3 \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t ph\u1ea7n c\u1ee7a \u0111\u1ea1o h\u00e0m. B\u1edfi v\u00ec h\u00e0m \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh t\u1eeb ph\u00e1i sinh. N\u00f3i c\u00e1ch kh\u00e1c, t\u00ednh to\u00e1n ng\u01b0\u1ee3c l\u1ea1i c\u1ee7a t\u00ecm ki\u1ebfm l\u00e0 t\u00ecm h\u00e0m. Do \u0111\u00f3, c\u00f3 th\u1ec3 th\u1ea5y r\u1eb1ng ph\u00e1i sinh v\u00e0 h\u00e0m trong to\u00e1n h\u1ecdc c\u00f3 li\u00ean quan ch\u1eb7t ch\u1ebd v\u1edbi nhau.<\/p>\n<table style=\"border-collapse: collapse;width: 100%;background-color: #c2e0f4\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%\">\n<p style=\"text-align: center\">X\u00e2y d\u1ef1ng m\u1ed9t n\u1ec1n t\u1ea3ng to\u00e1n h\u1ecdc v\u1eefng ch\u1eafc cho tr\u1ebb em t\u1eeb khi c\u00f2n nh\u1ecf v\u1edbi \u0111a ph\u01b0\u01a1ng ti\u1ec7n, c\u1ef1c k\u1ef3 r\u1ebb c\u00f3 gi\u00e1 d\u01b0\u1edbi 2k\/ng\u00e0y v\u1edbi to\u00e1n h\u1ecdc kh\u1ec9.<\/p>\n<p style=\"text-align: center\">\n<p><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia.monkeyuni.net\/upload\/web\/img\/nhantuvanmienphi.png\" alt=\"\" width=\"185\" height=\"36\"><\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_hinh_thuc_toan_hoc_ap_dung_cong_thuc_cua_ham_dao_ham_va_ham_tho\"><\/span>C\u00e1c h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u1ee7a h\u00e0m \u0111\u1ea1o h\u00e0m v\u00e0 h\u00e0m th\u00f4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t b\u1ea3n t\u00f3m t\u1eaft c\u1ee7a m\u1ed9t s\u1ed1 lo\u1ea1i to\u00e1n h\u1ecdc v\u00e0 b\u00e0i t\u1eadp ch\u1eb3ng h\u1ea1n \u0111\u1ec3 h\u1ecd n\u1eafm b\u1eaft v\u00e0 hi\u1ec3u r\u00f5 h\u01a1n khi \u00e1p d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Mau_1_Su_dung_khai_niem_thuoc_tinh_phai_sinh\"><\/span>M\u1eabu 1: S\u1eed d\u1ee5ng kh\u00e1i ni\u1ec7m thu\u1ed9c t\u00ednh ph\u00e1i sinh<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"MsoNormal\">\u0110\u00e2y l\u00e0 m\u1ed9t trong nh\u1eefng h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc c\u01a1 b\u1ea3n, v\u1edbi gi\u1ea3i ph\u00e1p \u0111\u01a1n gi\u1ea3n nh\u1ea5t trong c\u00e1c b\u00e0i t\u1eadp. \u0110\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i t\u1eadp, ch\u00fang s\u1ebd d\u1ef1a v\u00e0o \u0111\u1ecbnh ngh\u0129a, \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n \u0111\u1ec3 t\u00ednh to\u00e1n ch\u00ednh x\u00e1c. C\u1ee5 th\u1ec3:<\/p>\n<p><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/cong-thuc-tinh-dao-ham-1a.jpg\" alt=\"\" width=\"100%\"><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Mau_2_Chung_minh_cac_phuong_trinh_lien_quan_den_dao_ham\"><\/span>M\u1eabu 2: Ch\u1ee9ng minh c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh li\u00ean quan \u0111\u1ebfn \u0111\u1ea1o h\u00e0m<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"MsoNormal\">Trong h\u00ecnh th\u1ee9c t\u1eadp th\u1ec3 d\u1ee5c n\u00e0y, n\u00f3 th\u01b0\u1eddng s\u1ebd y\u00eau c\u1ea7u m\u1ed9t h\u1ec7 th\u1ed1ng nh\u1ea5t \u0111\u1ecbnh d\u1ef1a tr\u00ean c\u00e1c \u0111i\u1ec1u ki\u1ec7n hi\u1ec7n c\u00f3. N\u00f3 \u0111\u00f2i h\u1ecfi sinh vi\u00ean ph\u1ea3i t\u00ednh to\u00e1n, ch\u1ee9ng minh ph\u01b0\u01a1ng tr\u00ecnh li\u00ean quan \u0111\u1ebfn \u0111\u1ea1o h\u00e0m \u0111\u1ec3 ch\u00fang ch\u00ednh x\u00e1c v\u00e0 cho k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng.<\/p>\n<p><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/cong-thuc-tinh-dao-ham-1b.jpg\" alt=\"\" width=\"100%\"><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Mau_3_Biet_lien_he_viet_phuong_trinh_tiep_tuyen\"><\/span>M\u1eabu 3: Bi\u1ebft li\u00ean h\u1ec7, vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"MsoNormal\">\u0110\u00e2y l\u00e0 lo\u1ea1i b\u00e0i t\u1eadp \u00e1p d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng kh\u00e1 ph\u1ed5 bi\u1ebfn. C\u1ee5 th\u1ec3, v\u1ea5n \u0111\u1ec1 th\u01b0\u1eddng s\u1ebd \u0111\u01b0a ra m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a h\u00e0m c\u1ee7a bi\u1ec3u \u0111\u1ed3 \u0111\u01b0\u1eddng cong (c): y = f (x), v\u1edbi m\u1ed9t ti\u1ebfp x\u00fac \u0111\u00e3 cho m (x0; y0), d\u1ea1ng: y = y &#8216;(x0) (x-x0) + y0. Ch\u1ec9 n\u00ean thay th\u1ebf d\u1eef li\u1ec7u \u0111\u00e3 cho s\u1ebd t\u00ecm th\u1ea5y c\u00e2u tr\u1ea3 l\u1eddi ch\u00ednh x\u00e1c.<\/p>\n<p class=\"MsoNormal\"><em>V\u00ed d\u1ee5: <\/em>\u0110\u1eb7t h\u00e0m y = x3 + 3mx2 + (m + 1) x + 1 (1), m l\u00e0 m\u1ed9t tham s\u1ed1 th\u1ef1c. T\u00ecm c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a M \u0111\u1ec3 ti\u1ebfp tuy\u1ebfn v\u1edbi \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m t\u1ea1i \u0111i\u1ec3m v\u1edbi t\u1ecda \u0111\u1ed9 x = -1 v\u00e0 \u0111i qua \u0111i\u1ec3m A (1; 2).<\/p>\n<p class=\"MsoNormal\">TXD: D = R<\/p>\n<p class=\"MsoNormal\">y &#8216;= f&#8217; (x) = 3 \u00d7 2 + 6mx + m + 1<\/p>\n<p class=\"MsoNormal\">Cho x0 = -1 =&gt; y0 = 2m -1, f &#8216;(-1) = -5m + 4<\/p>\n<p class=\"MsoNormal\">Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn t\u1ea1i M (-1; 2m -1): y = (-5m + 4) (x + 1) + 2m -1 (d)<\/p>\n<p class=\"MsoNormal\">Ch\u00fang ta c\u00f3 A (1; 2) (d)  (-5m + 4) .2 + 2m -1 = 2 =&gt; m = 5\/8<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Mau_4_Viet_phuong_trinh_tiep_theo_khi_biet_he_so_goc\"><\/span>M\u1eabu 4: Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp theo khi bi\u1ebft h\u1ec7 s\u1ed1 g\u00f3c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"MsoNormal\">Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn \u0394 c\u1ee7a (c): y = f (x), bi\u1ebft \u0394 c\u00f3 h\u1ec7 s\u1ed1 g\u00f3c c\u1ee7a k \u0111\u01b0\u1ee3c cho \u1edf ph\u00eda tr\u01b0\u1edbc<\/p>\n<p class=\"MsoNormal\">\u0110\u1eb7t m (x0; y0) l\u00e0 li\u00ean h\u1ec7. T\u00ednh to\u00e1n y &#8216;=&gt; y&#8217; (x0)<\/p>\n<p class=\"MsoNormal\">Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u00f3 h\u1ec7 s\u1ed1 g\u00f3c k =&gt; y &#8216;= (x0) = k (i)<\/p>\n<p class=\"MsoNormal\">x0 =&gt; y0 = f (x0) =&gt;: y = k (x &#8211; x0)+ y0<\/p>\n<p class=\"MsoNormal\">L\u01b0u \u00fd: H\u1ec7 s\u1ed1 g\u00f3c k = y &#8216;(x0) c\u1ee7a ti\u1ebfp tuy\u1ebfn th\u01b0\u1eddng l\u00e0 gi\u00e1n ti\u1ebfp nh\u01b0 sau:<\/p>\n<p class=\"MsoNormal\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/cong-thuc-tinh-dao-ham-1c.jpg\" alt=\"\" width=\"100%\"><\/p>\n<p class=\"MsoNormal\">V\u00ed d\u1ee5: cho h\u00e0m y = x3 +3 \u00d7 2 &#8211; 9x + 5 (c). T\u00ecm ki\u1ebfm ti\u1ebfp tuy\u1ebfn v\u1edbi h\u1ec7 s\u1ed1 g\u00f3c nh\u1ecf nh\u1ea5t c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c ti\u1ebfp tuy\u1ebfn c\u1ee7a bi\u1ec3u \u0111\u1ed3 (c).<\/p>\n<p class=\"MsoNormal\">Ch\u00fang ta c\u00f3 y &#8216;= f&#8217; (x) = 3 \u00d7 2 + 6x &#8211; 9<\/p>\n<p class=\"MsoNormal\">\u0110\u1eb7t x0 l\u00e0 t\u1ecda \u0111\u1ed9 ti\u1ebfp x\u00fac c\u1ee7a ti\u1ebfp tuy\u1ebfn, v\u00ec v\u1eady f &#8216;(x0) = 3 x02 + 6 x0 &#8211; 9<\/p>\n<p class=\"MsoNormal\">Ch\u00fang ta c\u00f3 3 x02 + 6 \u00d7 0 tr\u1eadn 9 = 3 (x02 + 2 \u00d7 0 +1) &#8211; 12 = 3 (x0 + 1) 2 tr\u1eadn 12&gt; &#8211; 12<\/p>\n<p class=\"MsoNormal\">V\u00ec v\u1eady, Min F (x0) = -12 t\u1ea1i x0 = -1 =&gt; y0 = 16<\/p>\n<p class=\"MsoNormal\">\u0110\u00e3 suy ra ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn \u0111\u1ec3 t\u00ecm: y = -12 (x +1) +16  y = -12x+4<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Mau_5_Su_bat_binh_dang_va_phuong_trinh_voi_dao_ham\"><\/span>M\u1eabu 5: S\u1ef1 b\u1ea5t b\u00ecnh \u0111\u1eb3ng v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh v\u1edbi \u0111\u1ea1o h\u00e0m<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"MsoNormal\">H\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc n\u00e0y s\u1ebd ph\u1ea3i k\u1ebft h\u1ee3p nhi\u1ec1u c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng v\u00e0 h\u00e0m \u0111\u1ec3 c\u00f3 th\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh ho\u1eb7c ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ec3 t\u00ecm k\u1ebft qu\u1ea3 ch\u00ednh x\u00e1c.<\/p>\n<p><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/cong-thuc-tinh-dao-ham-1d.jpg\" alt=\"\" width=\"100%\"><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Mau_6_Su_dung_cong_thuc_chuc_nang\"><\/span>M\u1eabu 6: S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"MsoNormal\">Trong h\u00ecnh th\u1ee9c t\u1eadp th\u1ec3 d\u1ee5c n\u00e0y, n\u00f3 \u0111\u00f2i h\u1ecfi tr\u1ebb em ph\u1ea3i th\u00e0nh th\u1ea1o c\u00e1c c\u00f4ng th\u1ee9c ph\u00e1i sinh l\u1edbp 11 \u0111\u01b0\u1ee3c chia s\u1ebb \u1edf tr\u00ean. N\u1ebfu c\u00f3 c\u00e1c ch\u1ee9c n\u0103ng ph\u1ee9c t\u1ea1p xu\u1ea5t hi\u1ec7n, ch\u00fang c\u00f3 th\u1ec3 r\u00fat ng\u1eafn ch\u1ee9c n\u0103ng tr\u01b0\u1edbc khi ti\u1ebfn h\u00e0nh ch\u1ee9c n\u0103ng c\u1ee7a ch\u00fang, \u0111\u1eb7c bi\u1ec7t l\u00e0 n\u1ed9i dung l\u01b0\u1ee3ng gi\u00e1c.<\/p>\n<p><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/cong-thuc-tinh-dao-ham-1e.jpg\" alt=\"\" width=\"100%\"><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Mau_7_phai_sinh_cap_cao\"><\/span>M\u1eabu 7: ph\u00e1i sinh c\u1ea5p cao<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"MsoNormal\">\u0110\u1ed1i v\u1edbi c\u00e1c b\u00e0i t\u1eadp ph\u00e1i sinh c\u1ea5p cao th\u01b0\u1eddng \u1ee7ng h\u1ed9 c\u1ea5p 2 tr\u1edf l\u00ean, v\u00ec v\u1eady m\u1ecdi ng\u01b0\u1eddi c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng c\u1ea5p cao tr\u00ean ho\u1eb7c y (n) = (y (n-1)) &#8216;.<\/p>\n<p class=\"MsoNormal\">Ngo\u00e0i ra, \u0111\u1ec3 t\u00ednh to\u00e1n m\u1ee9c N v\u00e0 h\u1ecdc sinh, h\u1ecd s\u1ebd ph\u1ea3i t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m t\u1eeb c\u1ea5p 1, 2, 3 &#8230; v\u00e0 sau \u0111\u00f3 suy ra c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh to\u00e1n \u0111i\u1ec1u h\u01b0\u1edbng.<\/p>\n<p class=\"MsoNormal\">\n<h2 class=\"MsoNormal\"><span class=\"ez-toc-section\" id=\"Mot_so_bai_tap_tu_dong\"><\/span>M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp t\u1ef1 \u0111\u1ed9ng<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"MsoNormal\">D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp \u0111\u1ec3 ch\u00fang c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c h\u00e0m tr\u00ean tr\u00ean c\u00f9ng m\u1ed9t th\u1ef1c h\u00e0nh:<\/p>\n<p class=\"MsoNormal\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/cong-thuc-tinh-dao-ham-1f.jpg\" alt=\"(Ngu\u1ed3n: T\u00f3m t\u1eaft)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Xem th\u00eam: \u0110\u1ea1o h\u00e0m logarit l\u00e0 g\u00ec? Ki\u1ebfn th\u1ee9c v\u1ec1 ph\u00e1i sinh \u0111\u1ea7y \u0111\u1ee7 v\u00e0 ch\u00ednh x\u00e1c nh\u1ea5t<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phai_sinh_va_ung_dung_cua_dao_ham\"><\/span>Ph\u00e1i sinh v\u00e0 \u1ee9ng d\u1ee5ng c\u1ee7a \u0111\u1ea1o h\u00e0m<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">C\u00e1c ph\u00e1i sinh c\u00f3 nhi\u1ec1u \u1ee9ng d\u1ee5ng kh\u00f4ng ch\u1ec9 trong to\u00e1n h\u1ecdc m\u00e0 c\u00f2n trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 \u1ee9ng d\u1ee5ng c\u1ee7a \u0111\u1ea1o h\u00e0m:<\/p>\n<p dir=\"ltr\">Trong to\u00e1n h\u1ecdc to\u00e1n h\u1ecdc, c\u00f3 m\u1ed9t \u1ee9ng d\u1ee5ng ti\u1ebfp tuy\u1ebfn c\u1ee7a m\u1ed9t \u0111\u01b0\u1eddng d\u1eabn ph\u1eb3ng v\u00e0 l\u00e0 ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/4-cong-thuc-dao-ham.png\" alt=\"\u1ee8ng d\u1ee5ng th\u1ef1c t\u1ebf c\u1ee7a ph\u00e1i sinh trong cu\u1ed9c s\u1ed1ng (\u1ea2nh: Thu th\u1eadp Internet)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Trong v\u1eadt l\u00fd ch\u1ee9c n\u0103ng gi\u00fap ch\u00fang ta t\u00ednh to\u00e1n:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">V\u1eadn t\u1ed1c t\u1ee9c th\u1eddi.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">C\u01b0\u1eddng \u0111\u1ed9 t\u1ee9c th\u1eddi c\u1ee7a d\u00f2ng \u0111i\u1ec7n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Gia t\u1ed1c t\u1ee9c th\u00ec<\/p>\n<\/li>\n<\/ul>\n<p>Trong cu\u1ed9c s\u1ed1ng c\u1ee7a ph\u00e1i sinh \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng tr\u00ean \u0111\u1ed3ng h\u1ed3 c\u1ee7a xe m\u00e1y ho\u1eb7c \u1ee9ng d\u1ee5ng Khi t\u00ednh to\u00e1n th\u1eddi gian c\u1ee7a v\u1eadn \u0111\u1ed9ng vi\u00ean ch\u1ea1y, b\u01a1i ti\u1ebfp s\u1ee9c &#8230; th\u00f4ng qua c\u00e1c th\u00f4ng tin tr\u00ean, c\u00f3 th\u1ec3 th\u1ea5y r\u1eb1ng \u0111\u1ea1o h\u00e0m c\u00f3 kh\u00e1 nhi\u1ec1u \u1ee9ng d\u1ee5ng trong c\u00e1c l\u0129nh v\u1ef1c kh\u00e1c nhau.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/5-cong-thuc-dao-ham.jpg\" alt=\"\u00c1p d\u1ee5ng ph\u00e1i sinh tr\u00ean \u0111\u1ed3ng h\u1ed3 xe m\u00e1y (\u1ea3nh: Internet s\u01b0u t\u1ea7m)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_phap_va_phuong_phap_giai_phap_nhanh_nhat\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p v\u00e0 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u00e1p nhanh nh\u1ea5t<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 n\u1eafm b\u1eaft ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 ph\u00e1i sinh t\u1eeb \u0111\u00f3 \u00e1p d\u1ee5ng cho th\u1ef1c t\u1ebf c\u1ee7a c\u00e1c b\u00e0i t\u1eadp th\u1ef1c t\u1ebf. \u0110\u1ea7u ti\u00ean, b\u1ea1n c\u1ea7n th\u00e0nh th\u1ea1o l\u00fd thuy\u1ebft v\u1ec1 \u0111\u1ea1o h\u00e0m t\u1eeb \u0111\u1ecbnh ngh\u0129a, t\u1ef1 nhi\u00ean, \u00fd ngh\u0129a, c\u00f4ng th\u1ee9c (ch\u1ee9c n\u0103ng ch\u00ednh, ph\u00e2n chia, c\u00f4ng th\u1ee9c tuy\u1ec7t \u0111\u1ed1i c\u1ee7a ph\u00e1i sinh &#8230;). Sau \u0111\u00f3 c\u1ea7n \u00e1p d\u1ee5ng ki\u1ebfn \u200b\u200bth\u1ee9c h\u1ecdc \u0111\u01b0\u1ee3c \u0111\u1ec3 \u00e1p d\u1ee5ng \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i t\u1eadp. <\/p>\n<p dir=\"ltr\">L\u00e0m r\u1ea5t nhi\u1ec1u v\u00e0 m\u1ed9t lo\u1ea1t c\u00e1c b\u00e0i t\u1eadp t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao s\u1ebd gi\u00fap b\u1ea1n l\u00e0m ch\u1ee7 ki\u1ebfn \u200b\u200bth\u1ee9c c\u1ee7a m\u00ecnh. L\u00fd thuy\u1ebft lu\u00f4n \u0111i \u0111\u00f4i v\u1edbi nhau, v\u00ec v\u1eady h\u00e3y c\u1ed1 g\u1eafng \u00e1p d\u1ee5ng c\u1ea3 hai y\u1ebfu t\u1ed1 \u0111\u1ec3 h\u1ecdc t\u1ed1t h\u01a1n.<\/p>\n<p dir=\"ltr\">B\u00ean c\u1ea1nh \u0111\u00f3, hi\u1ec7n \u0111ang h\u1ecdc ki\u1ebfn \u200b\u200bth\u1ee9c t\u1eeb tr\u01b0\u1eddng l\u00e0 kh\u00f4ng \u0111\u1ee7. B\u1ea1n c\u00f3 th\u1ec3 kh\u00e1m ph\u00e1 th\u00eam ki\u1ebfn \u200b\u200bth\u1ee9c tr\u1ef1c tuy\u1ebfn. M\u1ed9t s\u1ed1 trang web \u1ea3o tr\u1ef1c tuy\u1ebfn mi\u1ec5n ph\u00ed s\u1ebd gi\u00fap b\u1ea1n ki\u1ec3m tra ch\u00ednh x\u00e1c c\u00e2u tr\u1ea3 l\u1eddi ch\u00ednh x\u00e1c. B\u1ea1n c\u00f3 th\u1ec3 t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m Mathway ngay t\u1ea1i trang web c\u1ee7a Mathway ho\u1eb7c trong ph\u1ea7n &#8220;Ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n&#8221; c\u1ee7a Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef, c\u00f3 nhi\u1ec1u lo\u1ea1i ph\u00e1i sinh \u0111\u1ec3 tr\u1ebb em tham kh\u1ea3o th\u00eam.<\/p>\n<p>Tr\u00ean \u0111\u00e2y l\u00e0 ki\u1ebfn \u200b\u200bth\u1ee9c h\u1eefu \u00edch nh\u1ea5t v\u1ec1 c\u00f4ng th\u1ee9c ph\u1ed5 bi\u1ebfn nh\u1ea5t. Hy v\u1ecdng, th\u00f4ng qua b\u00e0i vi\u1ebft, b\u1ea1n \u0111\u00e3 n\u1eafm b\u1eaft c\u00e1c c\u00f4ng th\u1ee9c ph\u00e1i sinh v\u00e0 \u1ee9ng d\u1ee5ng c\u1ee7a n\u00f3 trong th\u1ef1c t\u1ebf. T\u1eeb \u0111\u00f3, \u00e1p d\u1ee5ng \u0111\u1ec3 gi\u1ea3i quy\u1ebft b\u00e0i t\u1eadp v\u00e0 \u0111\u1ea1t \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 h\u1ecdc t\u1eadp t\u1ed1t.<\/p>\n<p>Ngu\u1ed3n: <a href=\"https:\/\/www.ckconitsha.com\/vn\/\">https:\/\/www.ckconitsha.com\/vn\/<\/a> T\u00e1c gi\u1ea3: <a href=\"https:\/\/www.ckconitsha.com\/vn\/author\/nguyenlandung\">Nguy\u1ec5n L\u00e2n d\u0169ng<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Trong ph\u00e2n t\u00edch to\u00e1n h\u1ecdc, \u0111\u1ea1o h\u00e0m l\u00e0 m\u1ed9t h\u00e0m m\u00f4 t\u1ea3 s\u1ef1 thay \u0111\u1ed5i t\u1ea1i m\u1ed9t \u0111i\u1ec3m. N\u00f3i c\u00e1ch kh\u00e1c, \u0111\u1ea1o h\u00e0m ch\u00ednh l\u00e0 t\u1ef7 l\u1ec7 c\u1ee7a s\u1ed1 v\u00e0 h\u00e0m t\u1ea1i m\u1ed9t \u0111i\u1ec3m x0. \u0110\u1ed9 l\u1edbn c\u1ee7a bi\u1ebfn th\u1ec3 v\u00e0 k\u00edch th\u01b0\u1edbc c\u1ee7a bi\u1ebfn cho th\u1ea5y gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1o h\u00e0m. D\u01b0\u1edbi \u0111\u00e2y l\u00e0&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[100],"tags":[],"class_list":["post-14055","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14055","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/comments?post=14055"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14055\/revisions"}],"predecessor-version":[{"id":17213,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14055\/revisions\/17213"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=14055"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=14055"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=14055"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}