Txoj kev tshawb no nta rau beginners

Muaj nuj nqi nrog ib tug cim hu ua ib tug piv cheeb tsam, nyob rau txhua tooj x los ntawm ib tug kev set yog txuam ib tug tej yam muaj pes tsawg tus ntawm lig y.

Muaj nuj nqi yog feem ntau denoted los ntawm Latin cov tsiaj ntawv. Xav txog tej piv txwv f. Tus xov tooj y, uas sib raug rau tus xov tooj ntawm x, hu ua lub f nqi muab hauv ib lub point x. Yog li: f (x). Tus sau ntawm cov nuj nqi f - yog D (f). Lub cheeb tsam uas muaj tag nrho cov qhov tseem ceeb ntawm cov nuj nqi f (x), qhov chaw uas lub cav x nyob rau hauv sau rau ntawm hu ua sau qhov tseem ceeb f. Nws sau li no: E (f).

Nyob rau hauv Feem ntau, cov kev ua los ntawm cov qauv. Yog li, tshwj tsis yog tias tau hais tseg ntxiv xyuas cheeb tsam los muaj nuj nqi, uas yog txhais los ntawm cov mis, yuav tsum tau ua lub teeb ntawm nce mus nce los qhov tseem ceeb, thiab xws li mis yog noj qhov chaw.

Lub union ntawm ob poob lawm yog ib pawg, txhua lub caij uas tej zaum yuav muaj thiab yuav mus rau tsawg kawg ib tug ntawm cov ntaub ntawv poob lawm.

Yuav kom qhia tau tias cov zauv nrog cov cheeb tsam los muaj nuj nqi x ib co xaiv tsab ntawv, hu ua ywj siab nce mus nce los los yog sib cav.

cov cheeb tsam nyob rau hauv uas lub ntau yam ntawm cov tseem ceeb thiab lub cheeb tsam los yog tsis hais txog zauv poob lawm yog feem ntau pom.

Thaum yog txoj kev tshawb no ntawm cov nuj nqi, piv txwv yuav pom nrog kev pab los ntawm graphics. Teeb ntawm ib tug muaj nuj nqi yog lub teeb ntawm cov ntsiab lus nyob rau hauv lub coordinate dav hlau, qhov twg lub sib cav "sau" tag nrho cov tsim cheeb tsam. Rau ib subset ntawm tus tswj lub dav hlau yog teeb ntawm ib tug muaj nuj nqi, nws yog tsim nyog hais tias ib tug subset muaj tsawg kawg yog ib tug taw tes nyob rau hauv ntau nrog rau tej kab thaum uas tig mus rau lub abscissa.

Muaj nuj nqi hu mus rau lub loj hlob txheej yog hais tias tus siab nqi ntawm cov sib cav mus xws li ib tug txheej nqi raws li ib tug ntau dua muaj nuj nqi, thiab nqis lub teeb - yog hais tias lub siab tshaj plaws nqi ntawm cov kev sib cav sau raws nkaus Ii rau qhov qis tshaj tus nqi ntawm cov nuj nqi.

Thaum lub sij hawm cov kev tshawb fawb muaj nuj nqi nyob rau hauv sawv thiab nyob rau lub qhovntsej thiaj tsis yuav tsum tau mus xaiv lub sij hawm ntawm txoj kev loj hlob thiab poob ntawm ntau ntev.

Cov kev ua yog hu ua chav yog hais tias, kev sib cav nrog nws cheeb tsam los yuav tsum tau f (-hluav) = f (x), los yog unpaired - yog hais tias rau kev sib cav nrog ib tug sau cim yog f (-hluav) = - f (x). Dhau li ntawd, lub teeb muaj nuj nqi khub yuav tsum zoo ib yam tus txheeb ze mus rau lub y-axis, thiab ib tug unpaired teeb - symmetrical txog tus taw tes (0, 0).

Nyob rau hauv kev txiav txim kom tsis txhob muaj kom raug thaum lub zog nqa tawm txoj kev tshawb no, koj yuav tsum kawm kom nrhiav tau tus yam ntxwv nta. Ua li no, koj yuav tsum tau ua raws li nram no cov kauj ruam:

1. Nrhiav qhov chaw los.

2. Nqa tawm ib daim tshev rau lub pairing los yog unpaired, raws li zoo raws li zaus.

3. Nws yog tsim nyog los nrhiav tau tus taw tes ntawm lub teeb ntawm reticle nrog ordinate thiab abscissa.

4. Thaum no tus taw tes, koj yuav tsum nrhiav tus Team sib qhov twg cov nuj nqi muaj ib tug zoo nqi, thiab nyob qhov twg - tsis zoo. Cov Team sib yog hu ua cov Team sib nrog rau qhov tej yam tshwm sim. Hais tias yog, koj yuav tsum txiav txim seb qhov twg yog lub sij hawm - saum toj no los yog hauv qab no lub x-axis.

5. heev pab txhawb cov hauj lwm ntawm lub tsev cov ntaub ntawv nyob rau hauv lub teeb uas nyob rau ntawm ib co muaj nuj nqi rau tej qhov chaw yog loj hlob, thiab ib co decreases. Tej kis hu ua yov Team sib ntawm kev loj hlob thiab qhovntsej thiaj tsis mob.

6. Tam sim no koj yuav tau mus nrhiav rau qhov tseem ceeb ntawm cov nuj nqi ntawm lub ntsiab lus qhov twg txoj kev loj hlob yog hloov los ntawm qhovntsej thiaj tsis mob, los yog vice versa.

Xws li ib tug kev tshawb nuj nqi ua nws tau mus lub ntsiab lus ib lub teeb. Nyob rau hauv tas li ntawd, nws yog tsim nyog los nrhiav tau ib tug taw tes ntawm extreme. Yuav ua li cas yog nws?

Tus taw tes yog ib tug tsawg kawg nkaus taw tes, yog hais tias rau tag nrho cov qhov tseem ceeb ntawm kev sib cav nrog ib tug tej ntau yam point yuav cia li lub inequality f (x)> f (x0).

Tus taw tes yog lub siab tshaj plaws taw tes, yog hais tias rau tag nrho cov qhov tseem ceeb ntawm kev sib cav nrog ib tug tej ntau yam point yuav cia li lub inequality f (x)