Video: Koj siv cov khoom thiab txoj cai quotient li cas?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
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. Cov Txoj cai khoom yuav tsum tau siv thaum lub derivative ntawm lub quotient ntawm ob lub luag haujlwm yuav tsum tau ua.
Ib sab ntawm qhov no, dab tsi yog tus qauv rau kev cai khoom?
Cov txoj cai khoom yog a qauv siv los nrhiav cov derivatives ntawm cov khoom ntawm ob los yog ntau dua functions. (uv)'=u'v+uv'. Δ(uv)=u(x+Δx)v(x+Δx)−u(x)v(x). qhov twg Δu thiab Δv yog qhov nce ntxiv, feem, ntawm cov haujlwm u thiab v.
Tsis tas li ntawd, dab tsi yog txoj cai khoom rau exponents? Tus exponent "txoj cai khoom" qhia peb tias, thaum muab ob lub zog uas muaj tib lub hauv paus, koj tuaj yeem ntxiv cov exponents. Hauv qhov piv txwv no, koj tuaj yeem pom nws ua haujlwm li cas. Ntxiv cov exponent tsuas yog luv luv! Cov " txoj cai hwj chim "hais rau peb tias kom tsa lub hwj chim rau lub hwj chim, tsuas yog muab ntau ntau cov exponents.
Hauv qhov no, txoj cai quotient rau exponents yog dab tsi?
Quotient Rule:, qhov no hais tias rau faib ob exponents nrog tib lub hauv paus, koj khaws lub hauv paus thiab rho tawm lub hwj chim. Qhov no zoo ib yam li txo cov feem; thaum koj rho tawm lub hwj chim muab cov lus teb rau hauv tus lej los yog tus lej nyob ntawm seb qhov twg lub hwj chim siab dua nyob.
Dab tsi yog 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 | ib | |
| Square | x2 | 2x ib |
Pom zoo:
Yuav ua li cas koj paub thaum twg yuav siv cov khoom los yog quotient txoj cai?
Kev faib ua haujlwm. Yog li, thaum twg koj pom kev sib faib ntawm ob txoj haujlwm, siv txoj cai khoom thiab nyob rau hauv rooj plaub ntawm kev faib siv txoj cai quotient. Yog tias muaj nuj nqi muaj ob qho kev sib faib thiab faib, tsuas yog siv ob txoj cai raws li. Yog tias koj pom qhov sib npaug dav nws yog ib yam zoo li, qhov twg yog qhov ua haujlwm ntawm ib leeg
Dab tsi yog qhov txawv ntawm txoj cai khoom thiab txoj cai saw?
Peb siv txoj cai saw thaum sib txawv ntawm 'kev ua haujlwm ntawm kev ua haujlwm', zoo li f(g(x)) feem ntau. Peb siv txoj cai khoom thaum sib txawv ntawm ob txoj haujlwm sib npaug ua ke, zoo li f(x)g(x) feem ntau. Tab sis nco ntsoov lawv yog cov haujlwm cais: ib tus tsis vam khom rau cov lus teb rau lwm tus
Yuav ua li cas koj hloov txoj cai quotient rau cov cai khoom?
Txoj cai quotient tuaj yeem pom raws li kev siv ntawm cov khoom thiab cov kev cai saw hlau. Yog Q(x) = f(x)/g(x), ces Q(x) = f(x) * 1/(g(x)). Koj tuaj yeem siv txoj cai khoom kom sib txawv Q(x), thiab 1/(g(x)) tuaj yeem sib txawv siv txoj cai saw nrog u = g(x), thiab 1/(g(x)) = 1/u
Koj tuaj yeem siv txoj cai khoom siv tsis yog txoj cai quotient?
Muaj ob qhov laj thawj vim li cas txoj cai quotient tuaj yeem ua tau zoo dua rau txoj cai tswj hwm lub zog ntxiv rau cov khoom lag luam hauv kev sib txawv ntawm cov quotient: Nws khaws cov denominators thaum simplifying qhov tshwm sim. Yog tias koj siv txoj cai fais fab ntxiv rau cov khoom siv, feem ntau koj yuav tsum nrhiav ib tus lej sib piv kom yooj yim rau qhov tshwm sim
Txoj cai thermodynamic twg hais tias koj Tsis tuaj yeem hloov 100 feem pua ntawm cov cua sov rau hauv cov khoom siv hluav taws xob ntawm cov lus teb xaiv?
Txoj Cai thib ob