Kev ua kom muaj nuj nqis polynomial tuaj yeem pab taug qab kev hloov pauv hauv nws txoj kab nqes. Txhawm rau kom muaj nuj nqis polynomial, txhua yam koj yuav tsum tau ua yog ua kom sib npaug coefficients ntawm txhua qhov sib txawv los ntawm lawv cov peev txheej, txo los ntawm ib qib, thiab tshem tawm ib qho tsis tu ncua. Yog tias koj xav paub yuav ua li cas thiaj tawg nws mus rau hauv ob peb kauj ruam yooj yim, ua tib zoo nyeem.
Kauj ruam
Kauj Ruam 1. Txheeb xyuas cov ntsiab lus ntawm qhov sib txawv thiab qhov tsis sib xws hauv kab zauv
Lub sij hawm sib txawv yog txhua lub sij hawm uas muaj qhov sib txawv thiab lub sij hawm tas li yog ib lub sij hawm uas tsuas muaj cov lej uas tsis muaj qhov hloov pauv. Nrhiav cov ntsiab lus ntawm qhov hloov pauv thiab qhov nyob hauv qhov kev ua haujlwm polynomial no: y = 5x3 + 9 x po2 X + 4x + 7
- Cov ntsiab lus sib txawv yog 5x3,, 9 xwv2,, 7x ua.
- Lub sijhawm tas li yog 3.
Kauj Ruam 2. Muab cov coefficients ntawm txhua lub sij hawm sib txawv los ntawm lawv lub zog
Cov txiaj ntsig sib npaug yuav ua kom muaj coefficient tshiab los ntawm qhov sib npaug tau los. Thaum koj pom cov khoom lag luam ntawm cov khoom lag luam, tso cov khoom ua ntej ntawm qhov sib txawv sib txawv. Nov yog koj ua nws li cas:
- 5 x ygo3 Luas = 5 x 3 = 15
- 9 x ygo2 Luas = 9 x 2 = 18
- 7x = 7 x 1 = 7
Kauj Ruam 3. Txo ib qib rau ib qib
Txhawm rau ua qhov no, tsuas yog rho 1 los ntawm txhua lub zog hauv txhua lub sijhawm sib txawv. Nov yog koj ua nws li cas:
- 5 x ygo3 = 5 x po2
- 9 x ygo2 = 9x ib1
- 7 x = 4x 7
Kauj Ruam 4. Hloov cov coefficients qub thiab lub zog nrog cov tshiab
Txhawm rau daws qhov sib npaug ntawm cov lej sib npaug no, hloov cov qub coefficient nrog cov tshiab coefficient thiab hloov cov lus piav qhia qub nrog lub zog uas tau muab los ntawm ib qib. Cov txiaj ntsig ntawm qhov tsis tu ncua yog xoom yog li koj tuaj yeem tso tseg 3, lub sijhawm tas mus li, los ntawm qhov txiaj ntsig kawg.
- 5 x ygo3 ua 15x2
- 9 x ygo2 ua 18x
- 7x ua 7
- Cov lej ntawm cov lej y = 5x3 + 9 x po2 X + 7 = 3 yog y = 15x2 + 4x + 7
Kauj Ruam 5. Nrhiav tus lej sib npaug tshiab nrog tus muab "x" tus nqi
Txhawm rau nrhiav tus nqi ntawm "y" nrog tus lej muab "x", tsuas yog hloov tag nrho "x" hauv qhov sib npaug nrog tus nqi muab "x" thiab daws. Piv txwv li, yog tias koj xav nrhiav tus nqi ntawm qhov kev ua zauv thaum x = 2, tsuas yog sau tus lej 2 hauv txhua lub sijhawm ntawm x hauv kab zauv. Nov yog koj ua nws li cas:
- 2y = 15x2 Luas = 18 x+ 7 = 15 x 22 Luas = 18 x 2 + 7 =
- y = 60 + 36 + 7 = 103
- Tus nqi ntawm qhov sib npaug thaum x = 2 yog 103.
Lub tswv yim
- Yog tias koj muaj qhov tsis zoo nthuav tawm lossis feem, tsis txhob txhawj! Qib no kuj ua raws tib txoj cai. Yog tias piv txwv koj muaj x-1yuav, -x-2 thiab x1/3 ua (1/3) x-2/3.
- Qhov no hu ua Power Rule of Calculus. Cov ntsiab lus yog: d/dx [os] = nrxn-1 ib
- Nrhiav qhov tsis tseem ceeb ntawm ib feem ntawm polynomial tau ua tiav tib txoj kev, tsuas yog lwm txoj hauv kev ib puag ncig. Piv txwv tias koj muaj 12x2 + 4x1 +5x ib0 + 0. Yog li koj tsuas yog ntxiv 1 rau txhua qhov nthuav tawm thiab faib los ntawm cov lus piav qhia tshiab. Qhov tshwm sim yog 4x3 + 2x ib2 + 5x ib1 + C, qhov twg C yog qhov tsis tu ncua, vim tias koj tsis tuaj yeem paub qhov loj ntawm qhov tas li.
- Nco ntsoov tias lub ntsiab lus ntawm kev rho tawm yog:: lim nrog h-> 0 ntawm [f (x+h) -f (x)]/h
- Nco ntsoov, txoj hauv kev no tsuas ua haujlwm yog tias tus piav qhia yog qhov tas li. Piv txwv li, d/dx x^x tsis yog x (x^(x-1)) = x^x, tab sis yog x^x (1+ln (x)). Txoj cai siv hluav taws xob tsuas yog siv rau x^n rau qhov tas li n.
