Yuav ua li cas koj hloov txoj cai quotient rau cov cai khoom?
Yuav ua li cas koj hloov txoj cai quotient rau cov cai khoom?

Video: Yuav ua li cas koj hloov txoj cai quotient rau cov cai khoom?

Video: Yuav ua li cas koj hloov txoj cai quotient rau cov cai khoom?
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Cov txoj cai quotient tuaj yeem pom raws li daim ntawv thov khoom thiab txoj cai saw hlau . Yog Q(x) = f(x)/g(x), ces Q(x) = f(x) * 1/(g(x)). Koj tuaj yeem siv lub txoj cai khoom kom sib txawv Q(x), thiab 1/(g(x)) tuaj yeem sib txawv siv txoj cai saw hlau u = g(x), and 1/(g(x)) = 1/u.

Ntxiv mus, dab tsi yog tus qauv rau txoj cai quotient?

Cov txoj cai quotient yog a qauv rau kev noj cov derivative ntawm a quotient ntawm ob lub luag haujlwm. Cov qauv hais tias kom nrhiav tau tus derivative ntawm f(x) faib los ntawm g(x), koj yuav tsum: Siv g(x) lub sij hawm lub derivative ntawm f(x). Tom qab ntawd los ntawm cov khoom ntawd, koj yuav tsum rho tawm cov khoom ntawm f(x) lub sij hawm tus derivative ntawm g(x).

Kuj Paub, dab tsi yog qhov derivative ntawm 1? Cov Derivative qhia peb txoj kab nqes ntawm txoj haujlwm ntawm txhua qhov chaw. Muaj cov cai uas peb tuaj yeem ua raws mus nrhiav tau ntau derivatives . Piv txwv li: Qhov nqes hav ntawm tus nqi tas li (xws li 3) yog ib txwm 0.

Derivative Cov cai.

Kev Ua Haujlwm Muaj nuj nqi Derivative
Tsis tu ncua c 0
Kab x 1
ax a
Square x2 2x ib

Cov neeg kuj nug, dab tsi yog cov khoom thiab quotient txoj cai?

Cov Txoj cai khoom hais tias derivative ntawm a khoom ntawm ob lub luag haujlwm yog thawj zaug ua haujlwm lub sijhawm ua haujlwm ntawm qhov ua haujlwm thib ob ntxiv rau qhov ua haujlwm thib ob lub sijhawm ua haujlwm ntawm thawj qhov haujlwm.

Dab tsi yog txoj cai fais fab hauv calculus?

Cov power rule nyob rau hauv calculus yog ib qho yooj yim haum txoj cai uas pab koj nrhiav tau cov derivative ntawm ib tug kuj nce mus txog rau a zog , xws li: x^5, 2x^8, 3x^(-3) or 5x^(1/2). Txhua yam koj ua yog coj tus exponent, muab nws los ntawm tus coefficient (tus lej nyob rau hauv pem hauv ntej ntawm x), thiab txo tus exponent los ntawm 1.

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