{"id":19735,"date":"2025-07-07T09:40:04","date_gmt":"2025-07-07T02:40:04","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=19735"},"modified":"2025-07-07T12:05:01","modified_gmt":"2025-07-07T05:05:01","slug":"cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/","title":{"rendered":"C\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m nguy\u00ean h\u00e0m v\u00e0 nh\u1eefng ki\u1ebfn th\u1ee9c c\u1ea7n nh\u1edb mu\u1ed1n gi\u1ea3i to\u00e1n ch\u00ednh x\u00e1c"},"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\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Phai_sinh_la_gi\" >Ph\u00e1i sinh l\u00e0 g\u00ec?<\/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\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Bang_cong_thuc_chi_tiet_cua_ham_ham\" >B\u1ea3ng c\u00f4ng th\u1ee9c chi ti\u1ebft c\u1ee7a ham ham<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Cong_thuc_cua_phai_sinh\" >C\u00f4ng th\u1ee9c c\u1ee7a ph\u00e1i sinh<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Cong_thuc_cua_toan_bo_ham\" >C\u00f4ng th\u1ee9c c\u1ee7a to\u00e0n b\u1ed9 h\u00e0m<\/a><\/li><\/ul><\/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\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Cac_loai_bai_tap_ap_dung_cong_thuc_chuc_nang_chung_va_ham_chung\" >C\u00e1c lo\u1ea1i b\u00e0i t\u1eadp \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng chung v\u00e0 h\u00e0m chung<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Cac_hinh_thuc_toan_hoc_cua_phai_sinh\" >C\u00e1c h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc c\u1ee7a ph\u00e1i sinh<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Cac_hinh_thuc_toan_hoc_cua_Nguyen_Ham\" >C\u00e1c h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc c\u1ee7a Nguy\u1ec5n Ham<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.ckconitsha.com\/vn\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Mot_so_bai_tap_de_ap_dung_cong_thuc_cua_Ham_Ham_Ham_Self\" >M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp \u0111\u1ec3 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u1ee7a Ham Ham Ham Self<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.ckconitsha.com\/vn\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Bai_tap_Magnifa\" >B\u00e0i t\u1eadp Magnifa<\/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\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Tap_the_duc_tren_Nguyen_Ham\" >T\u1eadp th\u1ec3 d\u1ee5c tr\u00ean Nguy\u1ec5n Ham<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.ckconitsha.com\/vn\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Meo_de_ghi_nho_cong_thuc_cua_ham_dao_ham_va_ham_tho_va_ap_dung_no_mot_cach_hieu_qua\" >M\u1eb9o \u0111\u1ec3 ghi nh\u1edb c\u00f4ng th\u1ee9c c\u1ee7a h\u00e0m \u0111\u1ea1o h\u00e0m v\u00e0 h\u00e0m th\u00f4 v\u00e0 \u00e1p d\u1ee5ng n\u00f3 m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.ckconitsha.com\/vn\/cong-thuc-dao-ham-nguyen-ham-va-nhung-kien-thuc-can-nho-muon-giai-toan-chinh-xac\/#Ket_luan\" >K\u1ebft lu\u1eadn<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng m\u00e0 c\u00e1c trang web v\u1edbi c\u00f4ng th\u1ee9c \u0111\u1ec3 gi\u1ea3i quy\u1ebft to\u00e1n h\u1ecdc l\u00e0 ph\u1ed5 bi\u1ebfn trong c\u00e1c b\u00e0i t\u1eadp v\u00e0 c\u00e2u h\u1ecfi thi. \u0110\u1ec3 gi\u00fap h\u1ecd h\u1ecdc, h\u00e3y nh\u1edb v\u00e0 th\u1ef1c h\u00e0nh hi\u1ec7u qu\u1ea3, h\u00e3y \u0111\u1ec3 Kh\u1ec9 t\u00ecm hi\u1ec3u th\u00eam trong b\u00e0i vi\u1ebft sau.<\/p>\n<p>                                                                    <img decoding=\"async\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img_default\/monkey3.png\" alt=\"\"><\/p>\n<p class=\"title\">H\u00e0ng tri\u1ec7u tr\u1ebb em \u0111\u00e3 ph\u00e1t tri\u1ec3n c\u00e1c k\u1ef9 n\u0103ng ng\u00f4n ng\u1eef c\u1ee7a ch\u00fang th\u00f4ng qua c\u00e1c \u1ee9ng d\u1ee5ng h\u1ecdc t\u1eadp c\u1ee7a kh\u1ec9<\/p>\n<p class=\"description\">\u0110\u0103ng k\u00fd ngay \u0111\u1ec3 \u0111\u01b0\u1ee3c t\u01b0 v\u1ea5n mi\u1ec5n ph\u00ed v\u1ec1 c\u00e1c s\u1ea3n ph\u1ea9m v\u00e0 tuy\u1ebfn h\u1ecdc h\u1ecdc cho tr\u1ebb em.<\/p>\n<p>                                                                            *Vui l\u00f2ng ki\u1ec3m tra t\u00ean \u0111\u1ea7y \u0111\u1ee7 c\u1ee7a b\u1ea1n *Vui l\u00f2ng ki\u1ec3m tra s\u1ed1 \u0111i\u1ec7n tho\u1ea1i h\u01a1n 2.000 t\u1eeb &amp; 6.000 c\u00e2u ti\u1ebfng Anh \u0111\u1ec3 ph\u00e1t tri\u1ec3n to\u00e0n di\u1ec7n 4 k\u1ef9 n\u0103ng ti\u1ebfng Anh t\u1ed1t &#8211; ti\u1ebfng Anh theo c\u00e1c ph\u01b0\u01a1ng ph\u00e1p hi\u1ec7n \u0111\u1ea1i ph\u00e1t tri\u1ec3n kh\u1ea3 n\u0103ng EQ &amp; Vi\u1ec7t Nam *B\u1ea1n ch\u01b0a ch\u1ecdn b\u1ea5t k\u1ef3 m\u1ee5c n\u00e0o! \u0110\u0103ng k\u00fd t\u01b0 v\u1ea5n mi\u1ec5n ph\u00ed<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phai_sinh_la_gi\"><\/span>Ph\u00e1i sinh l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Trong ch\u01b0\u01a1ng tr\u00ecnh \u0111\u1ea1i s\u1ed1 trung h\u1ecdc n\u00f3i chung, l\u1edbp 11 n\u00f3i ri\u00eang s\u1ebd \u0111\u01b0\u1ee3c l\u00e0m quen v\u1edbi ch\u1ee7 ngh\u0129a \u0110\u1ea1o gi\u00e1o v\u00e0 ch\u1ee7 \u0111\u1ec1 h\u00e0m. \u0110\u00e2y \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t ki\u1ebfn \u200b\u200bth\u1ee9c quan tr\u1ecdng, b\u1edfi v\u00ec n\u00f3 s\u1ebd xu\u1ea5t hi\u1ec7n ph\u1ed5 bi\u1ebfn trong c\u00e1c c\u00e2u h\u1ecfi thi kh\u00f4ng ch\u1ec9 \u1edf l\u1edbp 11 m\u00e0 l\u00e0 l\u1edbp 12, t\u1ed1t nghi\u1ec7p, \u0111\u1ea1i h\u1ecdc v\u00e0 c\u1ea5p cao h\u01a1n v\u1eabn ph\u1ea3i h\u1ecdc.<\/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\/cong-thuc-dao-ham-nguyen-ham-1.png\" alt=\"C\u00e1c \u0111\u1ea1o h\u00e0m v\u00e0 b\u1ea3n g\u1ed1c l\u00e0 hai ch\u1ee7 \u0111\u1ec1 quan tr\u1ecdng trong \u0111\u1ea1i s\u1ed1. (\u1ea2nh: H\u00e3y c\u00f9ng nhau h\u1ecdc)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Do \u0111\u00f3, l\u00e0m ch\u1ee7 l\u00fd thuy\u1ebft l\u00e0 b\u01b0\u1edbc \u0111\u1ea7u ti\u00ean c\u1ea7n nh\u1edb. C\u1ee5 th\u1ec3:<\/p>\n<p dir=\"ltr\">\u0110\u1ea1o h\u00e0m c\u1ee7a h\u00e0m \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 m\u00f4 t\u1ea3 s\u1ef1 bi\u1ebfn \u0111\u1ed5i c\u1ee7a m\u1ed9t h\u00e0m t\u1ea1i m\u1ed9t \u0111i\u1ec3m nh\u1ea5t \u0111\u1ecbnh.<\/p>\n<p dir=\"ltr\">H\u00e0m ban \u0111\u1ea7u c\u1ee7a h\u00e0m th\u1ef1c t\u1ebf cho f l\u00e0 h\u00e0m f s\u1ebd c\u00f3 \u0111\u1ea1o h\u00e0m b\u1eb1ng f. B\u00e2y gi\u1edd f &#039;= f. V\u00ec v\u1eady, qu\u00e1 tr\u00ecnh t\u00ecm ra h\u00e0m \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u00edch ph\u00e2n kh\u00f4ng ch\u1eafc ch\u1eafn. Trong th\u1ef1c t\u1ebf, vi\u1ec7c x\u00e1c \u0111\u1ecbnh m\u1ed9t bi\u1ec3u th\u1ee9c cho h\u00e0m s\u1ebd kh\u00f3 kh\u0103n h\u01a1n so v\u1edbi vi\u1ec7c t\u00ecm ki\u1ebfm \u0111\u1ea1o h\u00e0m.<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Bang_cong_thuc_chi_tiet_cua_ham_ham\"><\/span>B\u1ea3ng c\u00f4ng th\u1ee9c chi ti\u1ebft c\u1ee7a ham ham<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 c\u00f3 th\u1ec3 t\u00ednh to\u00e1n c\u00e1c v\u1ea5n \u0111\u1ec1 c\u1ee7a ph\u00e1i sinh v\u00e0 h\u00e0m, ngo\u00e0i vi\u1ec7c l\u00e0m ch\u1ee7 l\u00fd thuy\u1ebft, n\u00f3 \u0111\u00f2i h\u1ecfi sinh vi\u00ean ph\u1ea3i nh\u1edb c\u00f4ng th\u1ee9c c\u1ee7a t\u1eebng h\u00ecnh th\u1ee9c.<\/p>\n<p dir=\"ltr\">D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t c\u00f4ng th\u1ee9c chi ti\u1ebft cho hai lo\u1ea1i to\u00e1n h\u1ecdc n\u00e0y \u0111\u1ec3 b\u1ea1n tham kh\u1ea3o:<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_cua_phai_sinh\"><\/span>C\u00f4ng th\u1ee9c c\u1ee7a ph\u00e1i sinh<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Ghi nh\u1edb c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n v\u00e0 cao s\u1ebd gi\u00fap sinh vi\u00ean gi\u1ea3i quy\u1ebft b\u00e0i t\u1eadp v\u1ec1 nh\u00e0 ch\u00ednh x\u00e1c h\u01a1n. C\u1ee5 th\u1ec3:<\/p>\n<p dir=\"ltr\"><em>C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng c\u01a1 b\u1ea3n<\/em><\/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\/cong-thuc-dao-ham-nguyen-ham-2.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><em>Hai h\u00e0m c\u00f4ng th\u1ee9c h\u1ee3p l\u00fd l\u00e0 ph\u00e1i sinh:<\/em><\/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\/cong-thuc-dao-ham-nguyen-ham-3.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Quy t\u1eafc c\u1ee7a h\u00e0m c\u1ee7a h\u00e0m: N\u1ebfu y = y (u (x)) th\u00ec y &#039;(x) = y&#039; (u). u &#039;(x).<\/p>\n<p dir=\"ltr\"><em>\u0110\u1ea1o h\u00e0m c\u1ee7a h\u00e0m ch\u00ednh<\/em><\/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\/cong-thuc-dao-ham-nguyen-ham-4.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><em>B\u1ea3ng d\u1eabn xu\u1ea5t cao \u0111\u1ed9 cao:<\/em><\/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\/cong-thuc-dao-ham-nguyen-ham-5.png\" alt=\"\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_cua_toan_bo_ham\"><\/span>C\u00f4ng th\u1ee9c c\u1ee7a to\u00e0n b\u1ed9 h\u00e0m<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><em>T\u00ednh ch\u1ea5t c\u1ee7a h\u00e0m th\u00f4:<\/em><\/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\/cong-thuc-dao-ham-nguyen-ham-6.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><em>To\u00e0n b\u1ed9 b\u1ea3ng c\u01a1 b\u1ea3n<\/em><\/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\/cong-thuc-dao-ham-nguyen-ham-7.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><em>B\u1ea3ng ch\u00ednh m\u1edf r\u1ed9ng<\/em><\/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\/cong-thuc-dao-ham-nguyen-ham-8.png\" alt=\"\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_loai_bai_tap_ap_dung_cong_thuc_chuc_nang_chung_va_ham_chung\"><\/span>C\u00e1c lo\u1ea1i b\u00e0i t\u1eadp \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng chung v\u00e0 h\u00e0m chung<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ed1i v\u1edbi to\u00e1n h\u1ecdc to\u00e1n h\u1ecdc v\u00e0 ph\u00e1i sinh, sau khi th\u00e0nh th\u1ea1o l\u00fd thuy\u1ebft \u0111\u1ecbnh ngh\u0129a v\u00e0 c\u00f4ng th\u1ee9c, \u0111i\u1ec1u quan tr\u1ecdng l\u00e0 ph\u1ea3i x\u00e1c \u0111\u1ecbnh c\u00e1c h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc c\u1ee7a n\u00f3.<\/p>\n<p dir=\"ltr\">B\u1edfi v\u00ec ch\u1ec9 khi b\u1ea1n nh\u1eadn ra lo\u1ea1i v\u1ea5n \u0111\u1ec1 l\u00e0 g\u00ec, th\u1eadt d\u1ec5 d\u00e0ng \u0111\u1ec3 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c th\u00edch h\u1ee3p \u0111\u1ec3 gi\u1ea3i to\u00e1n ch\u00ednh x\u00e1c. V\u00ec v\u1eady, \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 lo\u1ea1i b\u00e0i t\u1eadp b\u1ea1n s\u1ebd d\u1ec5 d\u00e0ng g\u1eb7p ph\u1ea3i li\u00ean quan \u0111\u1ebfn h\u00e0m v\u00e0 ph\u00e1i sinh:<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_hinh_thuc_toan_hoc_cua_phai_sinh\"><\/span>C\u00e1c h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc c\u1ee7a ph\u00e1i sinh<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><em>M\u1eabu 1: \u0111\u1ea1o h\u00e0m c\u1ee7a m\u1ed9t h\u00e0m<\/em><\/p>\n<p dir=\"ltr\">Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i quy\u1ebft: Trong h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc to\u00e1n h\u1ecdc n\u00e0y, h\u1ecd s\u1ebd ph\u1ea3i \u00e1p d\u1ee5ng c\u00e1c quy t\u1eafc v\u00e0 t\u00ednh to\u00e1n ch\u1ee9c n\u0103ng, \u0111\u1eb7c bi\u1ec7t l\u00e0 c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n h\u00e0m c\u1ee7a h\u00e0m.<\/p>\n<p dir=\"ltr\">Trong tr\u01b0\u1eddng h\u1ee3p, n\u1ebfu v\u1ea5n \u0111\u1ec1 y\u00eau c\u1ea7u \u0111\u1ea1o h\u00e0m \u1edf 1 \u0111i\u1ec3m, m\u1ecdi ng\u01b0\u1eddi s\u1ebd ph\u1ea3i t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m tr\u01b0\u1edbc, sau \u0111\u00f3 thay th\u1ebf n\u00f3 \u0111\u1ec3 c\u00f3 k\u1ebft qu\u1ea3 ch\u00ednh x\u00e1c<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5:<\/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\/cong-thuc-dao-ham-nguyen-ham-9.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><em>M\u1eabu 2: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh y &#039;= 0<\/em><\/p>\n<p dir=\"ltr\">Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u00e1p: Lo\u1ea1i to\u00e1n h\u1ecdc n\u00e0y y\u00eau c\u1ea7u tr\u1ebb ph\u1ea3i t\u00ednh to\u00e1n &#039;\u0111\u1ea7u ti\u00ean, theo sau \u0111\u1ec3 ti\u1ebfn h\u00e0nh gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh y&#039; = 0.<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5:<\/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\/cong-thuc-dao-ham-nguyen-ham-10.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><em>M\u1eabu 3: Ch\u1ee9ng minh s\u1ef1 c\u00f4ng b\u1eb1ng c\u1ee7a \u0111\u1ea1o h\u00e0m<\/em><\/p>\n<p dir=\"ltr\">Gi\u1ea3i ph\u00e1p: Lo\u1ea1i b\u00e0i t\u1eadp n\u00e0y s\u1ebd y\u00eau c\u1ea7u h\u1ecdc sinh t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m v\u00e0 s\u1ebd \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u1ee7a c\u00e1c bi\u1ebfn \u0111\u1ed5i \u0111\u1eb7c bi\u1ec7t li\u00ean quan \u0111\u1ebfn n\u1ed9i dung l\u01b0\u1ee3ng gi\u00e1c \u0111\u1ec3 t\u00ednh to\u00e1n.<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5: Ch\u1ee9ng minh r\u1eb1ng:<\/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\/cong-thuc-dao-ham-nguyen-ham-11.png\" alt=\"\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_hinh_thuc_toan_hoc_cua_Nguyen_Ham\"><\/span>C\u00e1c h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc c\u1ee7a Nguy\u1ec5n Ham<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Trong b\u00e0i t\u1eadp c\u1ee7a Nguy\u1ec5n Ham s\u1ebd c\u00f3 c\u00e1c h\u00ecnh th\u1ee9c c\u01a1 b\u1ea3n sau:<\/p>\n<p dir=\"ltr\"><em>M\u1eabu 1: M\u1ed9t ph\u1ea7n c\u1ee7a m\u1ed7i ph\u1ea7n<\/em><\/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\/cong-thuc-dao-ham-nguyen-ham-12.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><em>M\u1eabu 2: Ch\u1ee9c n\u0103ng c\u1ee7a h\u00e0m l\u01b0\u1ee3ng gi\u00e1c<\/em><\/p>\n<p dir=\"ltr\">Gi\u1ea3i ph\u00e1p: N\u00f3 y\u00eau c\u1ea7u tr\u1ebb em n\u1eafm b\u1eaft c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh to\u00e1n ch\u1ee9c n\u0103ng ban \u0111\u1ea7u v\u1edbi c\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c ch\u00ednh v\u00e0 c\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n.<\/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\/cong-thuc-dao-ham-nguyen-ham-13.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><em>M\u1eabu 3: To\u00e0n b\u1ed9 h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 m\u0169, logarit<\/em><\/p>\n<p dir=\"ltr\">Gi\u1ea3i ph\u00e1p: H\u1ecdc sinh c\u1ea7n ghi nh\u1edb c\u0169ng nh\u01b0 \u00e1p d\u1ee5ng ch\u00ednh x\u00e1c c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng c\u1ee7a h\u00e0m theo c\u1ea5p s\u1ed1 nh\u00e2n, logarit \u0111\u1ec3 c\u00f3 th\u1ec3 gi\u00fap t\u00ednh to\u00e1n ch\u00ednh x\u00e1c v\u00e0 nhanh ch\u00f3ng h\u01a1n.<\/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\/cong-thuc-dao-ham-nguyen-ham-14.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><em>M\u1eabu 4: Ch\u1ee9c n\u0103ng c\u1ee7a h\u00e0m ch\u1ee9a c\u00f4ng th\u1ee9c<\/em><\/p>\n<p dir=\"ltr\">Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u00e1p: \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n c\u1ee7a b\u1ea3n g\u1ed1c ch\u1ee9a h\u00e0m<\/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\/cong-thuc-dao-ham-nguyen-ham-15.png\" alt=\"\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mot_so_bai_tap_de_ap_dung_cong_thuc_cua_Ham_Ham_Ham_Self\"><\/span>M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp \u0111\u1ec3 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u1ee7a Ham Ham Ham Self<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 gi\u00fap h\u1ecd ghi nh\u1edb ki\u1ebfn \u200b\u200bth\u1ee9c tr\u00ean, \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 m\u1eabu t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao \u0111\u1ebfn c\u1ea3 h\u00e0m ph\u00e1i \u0111\u1ea1o \u0111\u1ee9c v\u00e0 ch\u1ee9c n\u0103ng ban \u0111\u1ea7u m\u00e0 h\u1ecdc sinh b\u1eaft \u0111\u1ea7u th\u1ef1c h\u00e0nh:<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Bai_tap_Magnifa\"><\/span>B\u00e0i t\u1eadp Magnifa<span class=\"ez-toc-section-end\"><\/span><\/h3>\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-dao-ham-nguyen-ham-16.png\" alt=\"(Ngu\u1ed3n: T\u00f3m t\u1eaft)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Tap_the_duc_tren_Nguyen_Ham\"><\/span>T\u1eadp th\u1ec3 d\u1ee5c tr\u00ean Nguy\u1ec5n Ham<span class=\"ez-toc-section-end\"><\/span><\/h3>\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-dao-ham-nguyen-ham-17.png\" alt=\"(Ngu\u1ed3n: T\u00f3m t\u1eaft)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Meo_de_ghi_nho_cong_thuc_cua_ham_dao_ham_va_ham_tho_va_ap_dung_no_mot_cach_hieu_qua\"><\/span>M\u1eb9o \u0111\u1ec3 ghi nh\u1edb c\u00f4ng th\u1ee9c c\u1ee7a h\u00e0m \u0111\u1ea1o h\u00e0m v\u00e0 h\u00e0m th\u00f4 v\u00e0 \u00e1p d\u1ee5ng n\u00f3 m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 c\u00f3 th\u1ec3 ghi nh\u1edb c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m, c\u0169ng nh\u01b0 to\u00e0n b\u1ed9 h\u00e0m, h\u1ecd c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00e1c m\u1eb9o c\u01a1 b\u1ea3n sau:<\/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\/cong-thuc-dao-ham-nguyen-ham-18.png\" alt=\"M\u1ed7i ng\u01b0\u1eddi n\u00ean v\u1ebd t\u00ednh to\u00e1n c\u1ee7a ri\u00eang h\u1ecd m\u1ed9t c\u00e1ch nhanh ch\u00f3ng khi l\u00e0m to\u00e1n. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<ul>\n<li dir=\"ltr\">Th\u1ef1c h\u00e0nh th\u01b0\u1eddng xuy\u00ean: L\u00e0m b\u00e0i t\u1eadp v\u1ec1 nh\u00e0, \u00e1p d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c th\u01b0\u1eddng xuy\u00ean s\u1ebd h\u00ecnh th\u00e0nh th\u00f3i quen s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c v\u00e0 \u00e1p d\u1ee5ng ch\u00fang ch\u00ednh x\u00e1c h\u01a1n.<\/li>\n<li dir=\"ltr\">\u0110\u1ea3m b\u1ea3o ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i c\u00e1c h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc: Nh\u01b0 \u0111\u01b0\u1ee3c gi\u1ea3i th\u00edch \u1edf tr\u00ean, m\u1ed7i lo\u1ea1i to\u00e1n c\u00f3 gi\u1ea3i ph\u00e1p ri\u00eang, v\u00ec v\u1eady khi x\u00e1c \u0111\u1ecbnh bi\u1ec3u m\u1eabu, ch\u1ec9 c\u1ea7n \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c.<\/li>\n<li dir=\"ltr\">Chinh ph\u1ee5c nhi\u1ec1u lo\u1ea1i to\u00e1n h\u1ecdc v\u00e0 c\u00e1c m\u00f4n h\u1ecdc: Ngo\u00e0i vi\u1ec7c th\u1ef1c hi\u1ec7n c\u00e1c b\u00e0i t\u1eadp tr\u00ean s\u00e1ch gi\u00e1o khoa s\u1ea1ch, h\u1ecdc sinh n\u00ean t\u00ecm ki\u1ebfm nhi\u1ec1u b\u00e0i t\u1eadp tr\u00ean s\u00e1ch tham kh\u1ea3o, s\u00e1ch ki\u1ec3m tra to\u00e1n h\u1ecdc 11 v\u00e0 12, tr\u00ean Internet, l\u00e0m b\u00e0i ki\u1ec3m tra n\u0103m ngo\u00e1i, &#8230;<\/li>\n<li dir=\"ltr\">\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh to\u00e1n ch\u1ee9c n\u0103ng nhanh ch\u00f3ng, nhanh ch\u00f3ng: M\u1ed7i v\u1ea5n \u0111\u1ec1 c\u00f3 m\u1ed9t c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n nhanh, v\u00ec v\u1eady trong qu\u00e1 tr\u00ecnh h\u1ecdc t\u1eadp v\u00e0 \u0111\u00e0o t\u1ea1o, h\u1ecd s\u1ebd nhanh ch\u00f3ng r\u00fat ra tr\u1ea3i nghi\u1ec7m c\u1ee7a m\u00ecnh.<\/li>\n<\/ul>\n<p>Xem th\u00eam: \u0110\u1ec1 xu\u1ea5t th\u1ef1c h\u00e0nh c\u00e1c \u1ee9ng d\u1ee5ng ch\u1ee9c n\u0103ng trong kinh t\u1ebf v\u00e0 h\u1ecdc t\u1eadp hi\u1ec7u qu\u1ea3<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ket_luan\"><\/span>K\u1ebft lu\u1eadn<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<\/p>\n<p dir=\"ltr\">Tr\u00ean \u0111\u00e2y l\u00e0 th\u00f4ng tin v\u1ec1 ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng ham ham. Do \u0111\u00f3, c\u00f3 th\u1ec3 th\u1ea5y r\u1eb1ng \u0111\u00e2y l\u00e0 hai ch\u1ee7 \u0111\u1ec1 quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh \u0111\u1ea1i s\u1ed1 trung h\u1ecdc. Do \u0111\u00f3, c\u1ea7n ph\u1ea3i hi\u1ec3u c\u00e1c k\u1ef3 thi \u0111\u1ec3 chinh ph\u1ee5c k\u1ebft qu\u1ea3 t\u1ed1t nh\u1ea5t.<\/p>\n<p>Ngu\u1ed3n: <a href=\"http:\/\/www.ckconitsha.com\/vn\/\">http:\/\/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>C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng m\u00e0 c\u00e1c trang web v\u1edbi c\u00f4ng th\u1ee9c \u0111\u1ec3 gi\u1ea3i quy\u1ebft to\u00e1n h\u1ecdc l\u00e0 ph\u1ed5 bi\u1ebfn trong c\u00e1c b\u00e0i t\u1eadp v\u00e0 c\u00e2u h\u1ecfi thi. \u0110\u1ec3 gi\u00fap h\u1ecd h\u1ecdc, h\u00e3y nh\u1edb v\u00e0 th\u1ef1c h\u00e0nh hi\u1ec7u qu\u1ea3, h\u00e3y \u0111\u1ec3 Kh\u1ec9 t\u00ecm hi\u1ec3u th\u00eam trong b\u00e0i vi\u1ebft sau. H\u00e0ng tri\u1ec7u tr\u1ebb em \u0111\u00e3 ph\u00e1t tri\u1ec3n&#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-19735","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/19735","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=19735"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/19735\/revisions"}],"predecessor-version":[{"id":24481,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/19735\/revisions\/24481"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=19735"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=19735"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=19735"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}