Video: Minima thiab maxima hauv calculus yog dab tsi?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Cov lus. Lub ntsiab lus siab yog hu ua a siab kawg (plural maxima ). Lub ntsiab lus qis yog hu ua a yam tsawg kawg nkaus (plural minima ). General lo lus rau siab kawg los yog yam tsawg kawg nkaus yog extremum (plural extrema). Peb hais hauv zos siab kawg (los yog yam tsawg kawg nkaus ) thaum tej zaum yuav siab dua (los yog qis dua) cov ntsiab lus nyob rau lwm qhov tab sis tsis nyob ze.
Kuj paub, koj txhais li cas los ntawm maxima thiab minima?
Maxima thiab minima yog txhais rau ib tug function. Maxima yog qhov point siab kawg tus nqi ntawm kev ua haujlwm thiab minima yog qhov point yam tsawg kawg nkaus tus nqi ntawm kev ua haujlwm. Cia peb ua qhov piv txwv no.
Ib tug kuj yuav nug, koj ua li cas nrhiav qhov siab tshaj plaws hauv zos thiab qhov tsawg kawg nkaus hauv zos? Yuav Ua Li Cas Nrhiav Hauv Zos Extrema nrog Thawj Qhov Kev Xeem Derivative
- Nrhiav thawj derivative ntawm f siv txoj cai fais fab.
- Teem lub derivative sib npaug rau xoom thiab daws rau x. x = 0, –2, lossis 2. Peb x-tus nqi no yog tus lej tseem ceeb ntawm f. Cov lej tseem ceeb ntxiv tuaj yeem tshwm sim yog tias thawj qhov derivative tsis tau txhais ntawm qee qhov x-tus nqi, tab sis vim yog qhov sib txawv.
Ntawm no, yuav ua li cas koj pom qhov siab tshaj plaws thiab qhov tsawg kawg nkaus ntawm kev ua haujlwm hauv kev suav lej?
Muab f(x) = x3-6x29 x + 15, nrhiav ib qho thiab tag nrho lub zos qhov siab tshaj plaws thiab qhov tsawg kawg nkaus. Kauj ruam 1. f '(x) = 0, Teem derivative sib npaug rau xoom thiab daws rau "x" rau nrhiav cov ntsiab lus tseem ceeb. Cov ntsiab lus tseem ceeb yog qhov chaw nqes hav muaj nuj nqi yog xoom los yog tsis tau txhais.
Qhov siab tshaj plaws hauv lej yog dab tsi?
Qhov siab tshaj plaws, Hauv lej , ib qho taw tes uas muaj nuj nqis ntau tshaj plaws. Yog tias tus nqi ntau dua lossis sib npaug rau tag nrho lwm cov txiaj ntsig muaj nuj nqi, nws yog qhov tseeb siab kawg . Yog tias nws tsuas yog ntau dua li qhov chaw nyob ze, nws yog ib tus txheeb ze, lossis hauv zos, siab kawg.
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