Qhov tseem ceeb hauv kev laij lej yog qhov sib txawv ntawm kev sib txawv. Kev sib xyaw yog txheej txheem ntawm kev suav thaj tsam hauv qab txoj kab nkhaus los ntawm xy. Muaj ntau txoj cai tseem ceeb, nyob ntawm hom polynomial tam sim no.
Kauj ruam
Txoj Kev 1 ntawm 2: Kev Yooj Yim Yooj Yim
Kauj Ruam 1. Txoj cai yooj yim no rau kev sib xyaw ua haujlwm rau feem ntau cov lej yooj yim
Polynomial y = a*x^n.
Kauj Ruam 2. Sib faib (coefficient) a los ntawm n+1 (hwj chim+1) thiab nce lub zog los ntawm 1
Hauv lwm lo lus, qhov tseem ceeb y = a*x^n yog y = (a/n+1)*x^(n+1).
Kauj Ruam 3. Ntxiv qhov tseem ceeb C rau qhov tsis sib xws qhov tseem ceeb txhawm rau txhim kho qhov tsis meej pem txog tus nqi tseeb
Yog li ntawd, lo lus teb kawg rau lo lus nug no yog y = (a/n+1)*x^(n+1)+C.
Xav txog nws li no: thaum tau txais kev ua haujlwm, txhua qhov tsis suav nrog los ntawm cov lus teb zaum kawg. Yog li, nws ib txwm muaj peev xwm hais tias qhov tseem ceeb ntawm txoj haujlwm muaj qee qhov kev xav tsis tu ncua
Kauj Ruam 4. Sib sau cov ntsiab lus cais hauv ib txoj haujlwm cais nrog txoj cai
Piv txwv li, qhov tseem ceeb ntawm y = 4x^3 + 5x^2 + 3x yog (4/4) x^4 + (5/3)*x^3 + (3/2)*x^2 + C = x^4 + (5/3)*x^3 + (3/2)*x^2 + C..
Txoj Kev 2 ntawm 2: Lwm Txoj Cai
Kauj Ruam 1. Tib txoj cai tsis siv rau x^-1, lossis 1/x
Thaum koj muab cov lej sib txawv rau lub zog ntawm 1, qhov tseem ceeb yog ntuj cav ntawm kuj tsis paub meej. Hauv lwm lo lus, qhov tseem ceeb ntawm (x+3)^-1 yog ln (x + 3) + C.
Kauj Ruam 2. Qhov tseem ceeb ntawm e^x yog tus lej nws tus kheej
Qhov tseem ceeb ntawm e^(nx) yog 1/n * e^(nx) + C; yog li, qhov tseem ceeb ntawm e^(4x) yog 1/4 * e^(4x) + C.
Kauj Ruam 3. Qhov sib xyaw ntawm cov haujlwm trigonometric yuav tsum tau cim tseg
Koj yuav tsum nco ntsoov txhua yam hauv qab no:
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Qhov tseem ceeb ntawm cos (x) yog sin (x) + C.
Sib Koom Kauj Ruam 7Bullet1 -
Qhov txhaum ib (x) yog - cos (x) + C. (nco ntsoov lub cim tsis zoo!)
Sib koom Kauj Ruam 7Bullet2 -
Nrog ob txoj cai no, koj tuaj yeem muab qhov tseem ceeb ntawm tan (x), uas yog sib npaug rau kev txhaum (x)/cos (x). Cov lus teb yog - ln | cos x | + C. Txheeb xyuas qhov tshwm sim dua!
Sib Koom Kauj Ruam 7Bullet3
Kauj Ruam 4. Xav paub ntau ntxiv txog cov lej zoo li (3x-5)^4, kawm paub yuav ua li cas nrog kev hloov pauv
Cov txheej txheem no qhia txog qhov sib txawv xws li u, ua ntau yam sib txawv, piv txwv li 3x-5, txhawm rau ua kom yooj yim rau txheej txheem thaum siv tib txoj cai tseem ceeb ib yam.
