Tiêu đề 250+ CÔNG THỨC GIẢI NHANH TOÁN 12 (chương trình mới).pdf ✅

250+ Cong thii'c giai 11hanh Toan 12 • Quy the tfnh ilfJO hiwt Cho u=u(x), v=v(x) la de ham s6 c6 d(,lo ham t~i di~m x thu(>c khoclng xac d!nh va C la h~ng s6. Ta c6: D~o ham cua ham h~ng I ! (c)' = o D~o ham ciia tBng, hi~u ( Zl + lJ )' = lf I + V1 ( u -v )' = u' - v' I ( u · v )' = u' · v + v' · u D~o barn cua tich =>(C·u)' =C.u' I I I ( ~} = "" 7' ·" ( v = v( x) * 0) D~o ham cua thuO'ng - - => ( c} C-u' ( ) - =--z- u=u(x)*O u u N ~u y = f (u), u = u ( x) D~o barn cua ham hqp => Y.: = y;, . u: • Co11g tlrfrc ti11h uha11h ily = -- cx+d cx+d ad-be (ex+ d) 2 ' ax2 + bx + c , ( ax 1 + bx + c J' •y= =>y= mx + n mx + n 4 amx.1 + 2anx + bn - cm (mx+n) 2 250+ Cong thii'c giai 11hanh Toan 12 • Quy the tfnh ilfJO hiwt Cho u=u(x), v=v(x) la de ham s6 c6 d(,lo ham t~i di~m x thu(>c khoclng xac d!nh va C la h~ng s6. Ta c6: D~o ham cua ham h~ng I ! (c)' = o D~o ham ciia tBng, hi~u ( Zl + lJ )' = lf I + V1 ( u -v )' = u' - v' I ( u · v )' = u' · v + v' · u D~o barn cua tich =>(C·u)' =C.u' I I I ( ~} = "" 7' ·" ( v = v( x) * 0) D~o ham cua thuO'ng - - => ( c} C-u' ( ) - =--z- u=u(x)*O u u N ~u y = f (u), u = u ( x) D~o barn cua ham hqp => Y.: = y;, . u: • Co11g tlrfrc ti11h uha11h ily = -- cx+d cx+d ad-be (ex+ d) 2 ' ax2 + bx + c , ( ax 1 + bx + c J' •y= =>y= mx + n mx + n 4 amx.1 + 2anx + bn - cm (mx+n) 2

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