Cov txheej txheem:

Dab tsi yog qhov sib txawv hauv ib qho tseem ceeb?
Dab tsi yog qhov sib txawv hauv ib qho tseem ceeb?

Video: Dab tsi yog qhov sib txawv hauv ib qho tseem ceeb?

Video: Dab tsi yog qhov sib txawv hauv ib qho tseem ceeb?
Video: nkauj tawm tshiab 2023 Npawm lem and tub zeb vwj 2024, Kaum ib hlis
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Hauv calculus, lub sib txawv sawv cev rau qhov tseem ceeb ntawm qhov kev hloov pauv hauv kev ua haujlwm y = f(x) nrog rau cov kev hloov pauv hauv qhov hloov pauv ywj pheej. Cov sib txawv dy yog txhais los ntawm. qhov twg yog qhov derivative ntawm f nrog rau x, thiab dx yog qhov sib txawv ntxiv (yog li ntawd dy yog qhov ua haujlwm ntawm x thiab dx).

Yog li ntawd, dab tsi yog qhov derivative ntawm ib qho tseem ceeb?

Qhov xaus ntawm lub hauv paus theorem ntawm kev suav lej tuaj yeem raug nthuav tawm hauv cov lus xws li: "the derivative ntawm ib qho integral ntawm ib qho kev ua haujlwm yog qhov qub ua haujlwm", lossis "kev sib txawv undoes qhov tshwm sim ntawm kev sib koom ua ke". derivative ntawm (indefinite) ib qho ntawm no function f(x) yog f(x).

Ib sab saum toj no, qhov sib txawv thiab kev sib koom ua ke siv rau dab tsi? Feem ntau txoj kev kev sib txawv yog siv rau faib nyob rau hauv kom muaj nuj nqis rau hauv tus naj npawb ntawm qhov chaw thaum kev koom ua ke yog siv rau koom nrog me me rau hauv qhov ntau. Peb siv kev sib txawv thiab kev sib koom ua ke nyob rau hauv rooj plaub tus nqi hloov nrog rau lwm tus nqi ib txhij.

Ib tug kuj yuav nug, dab tsi yog qhov txawv ntawm qhov sib txawv thiab cov lej suav?

Thaum kev xam qhov txawv tsom rau cov nqi ntawm kev hloov pauv, xws li nqes hav ntawm tangent kab thiab tshaj tawm, integral suav suav nrog tag nrho qhov loj lossis tus nqi, xws li qhov ntev, thaj chaw, thiab ntim. Raws li qhov tshwm sim, ntau ntawm integral suav deals nrog derivation ntawm cov qauv los nrhiav antiderivatives.

Koj nrhiav tau qhov tseem ceeb li cas?

Cov ntsiab lus tseeb

  1. Thiab tom qab ntawd ua tiav nrog dx los txhais tau tias cov hlais mus rau hauv x kev taw qhia (thiab zero hauv qhov dav).
  2. Ib qho Kev Txiav Txim Siab muaj qhov pib thiab qhov kawg: nyob rau hauv lwm yam lus muaj lub caij nyoog [a, b].
  3. Peb pom qhov Definite Integral los ntawm kev xam qhov Indefinite Integral ntawm a, thiab ntawm b, ces rho tawm:

Pom zoo: