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Puas txhais tau tias tus nqi theorem siv tau?

Cov txheej txheem:

Puas txhais tau tias tus nqi theorem siv tau?
Puas txhais tau tias tus nqi theorem siv tau?

Video: Puas txhais tau tias tus nqi theorem siv tau?

Video: Puas txhais tau tias tus nqi theorem siv tau?
Video: Saib Tias Ntawm neeg lub cev (update) 23/4/2019 2024, Tej zaum
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Txhawm rau siv qhov Mean Value Theorem lubua haujlwm yuav tsum txuas ntxiv ntawm lub sijhawm kaw thiab sib txawv ntawm lub sijhawm qhib Txoj haujlwm no yog qhov ua haujlwm ntau, uas yog ob qho tib si txuas ntxiv thiab sib txawv ntawm tag nrho cov lej tiag tiag thiab yog li ua tau raws li cov xwm txheej no.

Tus Mean Value Theorem puas tuaj yeem siv rau txoj haujlwm?

Tus Mean Tus Nqi Theorem hais tias yog qhov ua haujlwm f txuas ntxiv ntawm lub sijhawm kaw [a, b] thiab sib txawv ntawm lub sijhawm qhib (a, b), ces muaj qhov taw tes c hauv lub sijhawm (a, b) xws li f'(c) sib npaug rau function'snruab nrab tus nqi hloov pauv [a, b].

Tus Mean Value Theorem puas tuaj yeem siv rau qhov muaj nuj nqis tiag?

Txawm tias f txuas ntxiv rau [0, 4] thiab f(0)=f(4), peb tsis tuaj yeem siv Rolle's Theorem vim f tsis sib txawv ntawm 2. Tus nqi muaj nuj nqis tsis txawv ntawm nws qhov vertex.

Yuav Rolles theorem siv tau?

Peb hais tias peb tuaj yeem siv Rolle's Theorem yog tias tag nrho 3 qhov kev xav no muaj tseeb H1: Lub luag haujlwm f hauv qhov teeb meem no txuas ntxiv rau [0, 3] [Vim tias, txoj haujlwm no yog ib tug polynomial ces nws yog nruam ntawm txhua tus lej tiag.] … Yog li Rolle's Theorem siv rau f(x)=x3−9x ntawm lub sijhawm [0, 3].

Vim li cas peb thiaj siv Tus Mean Value Theorem?

Tus nqi ntsuas qhov ntsuas txuas tus nqi nruab nrab ntawm kev hloov pauv ntawm kev ua haujlwm rau nws cov txiaj ntsig.

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