Nội dung text 250+ CÔNG THỨC GIẢI NHANH TOÁN 12 (chương trình mới).pdf
250+ Cong thuc giid nhanh Toan 12 CHU DE i. n~o HAM v A KHAo sAT HAM so 1. D~o ham • Bii11g i/90 ham cua ml)t sa ham sa Sil clip co· biin va ham h9p D~o ham cua ham s6 sO' c~p D~o ham cua ham hqp cO' ban thucmg g~p (O' day u = u(x)) ( X11 )' = n . xn-l ( 11 )' 11-I I u =n·u ·u (~ x J =-~ x- UJ =-,~: (Fx)' = - 1 2/; (Fu)' = __!!__ 2Fu ( sinx )' = cosx (" smu )' = I ll ·COSU ( cosx )' = -sinx ( )' I • cosu = -u ·smu ... . , 1 , (tan x) =-2 cos - x (tanu)' =~ cos u (cot x )' =-+ I (cotu)' =-+ sm x sm u (ex)'= ex I ( e" )' = u' · e" (ax)' =ax ·In a I (a")' = u' · a1' · In a . 1 I ( )' u (Inx)' =- Inu =- . x u I 1 I (Ioga x ) =-· - (Ioga u )' = _u_ xlna ulna 3 250+ Cong thuc giid nhanh Toan 12 CHU DE i. n~o HAM v A KHAo sAT HAM so 1. D~o ham • Bii11g i/90 ham cua ml)t sa ham sa Sil clip co· biin va ham h9p D~o ham cua ham s6 sO' c~p D~o ham cua ham hqp cO' ban thucmg g~p (O' day u = u(x)) ( X11 )' = n . xn-l ( 11 )' 11-I I u =n·u ·u (~ x J =-~ x- UJ =-,~: (Fx)' = - 1 2/; (Fu)' = __!!__ 2Fu ( sinx )' = cosx (" smu )' = I ll ·COSU ( cosx )' = -sinx ( )' I • cosu = -u ·smu ... . , 1 , (tan x) =-2 cos - x (tanu)' =~ cos u (cot x )' =-+ I (cotu)' =-+ sm x sm u (ex)'= ex I ( e" )' = u' · e" (ax)' =ax ·In a I (a")' = u' · a1' · In a . 1 I ( )' u (Inx)' =- Inu =- . x u I 1 I (Ioga x ) =-· - (Ioga u )' = _u_ xlna ulna 3
250+ Cong thuc giai nhanh Toan 12 ·Ham s6 y = f (x) de.it qrc tri tc.ii diem x = x0 khi ham s6 y = f (x) lien tvc t(.li di~m X0 Va f' ( X) df>i d§u tlr ducmg sang am ho~c tlr am sang duong . • N~u f'(x) d6i d~u tlr dumig sang am khi qua di~m Xo thi Xo la di~m ci;rc de.ii cua ham s6 . • NSu f' (x) d6i dftu tlr am sang dzrong khi qua di~m Xo thi Xo la diem qrc ti@u cua ham s6. • f ( X 0 ) duqc gQi la gia tri C\fC d(.li (gia tri ClJC tieu) CUa ham s6 ky hi~U j~EJUcr), con di~m M(xo;f(xo)) duqc g9i la di@m qrc de.ii (diem ci;rc ti~u) cua d6 thi ham s6. 6 Di2m eve dc,.i cua d6 t~ ham s6 cua ham s6 Yer.. Gia tri <\>< ~~"(cue tiJu) J I cua ham so Dibn qrc tj2u cua ham s8 DiJm ct.re ti~u cua d6 thi ham s6 250+ Cong thuc giai nhanh Toan 12 ·Ham s6 y = f (x) de.it qrc tri tc.ii diem x = x0 khi ham s6 y = f (x) lien tvc t(.li di~m X0 Va f' ( X) df>i d§u tlr ducmg sang am ho~c tlr am sang duong . • N~u f'(x) d6i d~u tlr dumig sang am khi qua di~m Xo thi Xo la di~m ci;rc de.ii cua ham s6 . • NSu f' (x) d6i dftu tlr am sang dzrong khi qua di~m Xo thi Xo la diem qrc ti@u cua ham s6. • f ( X 0 ) duqc gQi la gia tri C\fC d(.li (gia tri ClJC tieu) CUa ham s6 ky hi~U j~EJUcr), con di~m M(xo;f(xo)) duqc g9i la di@m qrc de.ii (diem ci;rc ti~u) cua d6 thi ham s6. 6 Di2m eve dc,.i cua d6 t~ ham s6 cua ham s6 Yer.. Gia tri <\>< ~~"(cue tiJu) J I cua ham so Dibn qrc tj2u cua ham s8 DiJm ct.re ti~u cua d6 thi ham s6