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Video: Yuav ua li cas koj nrhiav tau qhov sib npaug ntawm kab tangent ntawm ib tug derivative?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
1) Nrhiav thawj derivative ntawm f(x). 2) Txuas xvalue ntawm qhov taw tes rau hauv f '(x) txhawm rau nrhiav txoj kab nqes ntawm x. 3) Txuas x tus nqi rau f(x) txhawm rau nrhiav y kev sib koom tes ntawm qhov tangent taw tes. 4) Muab txoj kab nqes los ntawm kauj ruam 2 thiab taw tes los ntawm kauj ruam 3 siv qhov taw tes-txoj kab nqes qauv mus nrhiav tau kev sib npaug rau cov kab tangent.
Ua raws li qhov no hauv kev pom, puas yog qhov sib npaug ntawm kab tangent tus derivative?
Cov derivative & tangent lineequations . Cov derivative ntawm ib txoj haujlwm muab peb txoj kev nqes hav ntawm kab tangent mus rau qhov ua haujlwm ntawm txhua qhov chaw ntawm daim duab. Qhov no tuaj yeem siv los nrhiav cov kev sib npaug ntawm qhov ntawd kab tangent.
Tom qab ntawd, lo lus nug yog, ua li cas koj nrhiav tau ib qho derivative? Hauv paus, peb tuaj yeem suav cov derivative ntawm f(x) siv qhov txwv lub ntsiab lus ntawm derivatives nrog cov kauj ruam hauv qab no:
- Nrhiav f(x + h).
- Txuas f(x + h), f(x), thiab h mus rau hauv qhov txwv kev txwv ntawm qhov kev txiav txim siab.
- Simplify qhov txawv quotient.
- Siv qhov txwv, raws li h mus txog 0, ntawm qhov sib txawv yooj yim.
Ib yam li ntawd, nws yog nug, koj yuav nrhiav tau qhov sib npaug tangent li cas?
Txhawm rau nrhiav qhov sib npaug ntawm tangent, peb:
- Sib txawv qhov sib npaug ntawm qhov nkhaus.
- Hloov tus nqi rau hauv qhov sib npaug sib txawv kom pom qhov gradient.
- Hloov tus nqi rau hauv qhov sib npaug qub ntawm qhov nkhaus kom pom qhov y-coordinate.
- Hloov koj lub ntsiab lus ntawm kab thiab gradient rau hauv.
Dab tsi yog ib txoj kab tangent mus rau qhov nkhaus?
Hauv geometry, lub kab tangent (los yog yooj yim tangent ) mus rau lub dav hlau nkhaus ntawm qhov taw tes yog qhov ncaj kab uas "tsuas yog kov" tus nkhaus ntawm qhov ntawd. Leibniz txhais tias nws yog tus kab los ntawm ib khub ntawm infinitely kaw cov ntsiab lus ntawm lub nkhaus . Lo lus" tangent "los ntawm Latin tangere, "touch".
Pom zoo:
Yuav daws qhov tsis sib npaug ntawm cov kab sib npaug thiab cov kab sib npaug sib npaug li cas?
Kev daws qhov tsis sib npaug ntawm qhov sib npaug yog zoo ib yam li kev daws cov kab sib npaug. Qhov sib txawv tseem ceeb yog koj tig lub cim tsis sib xws thaum faib lossis muab faib los ntawm tus lej tsis zoo. Graphing linear inequalities muaj ob peb qhov sib txawv ntxiv. Qhov uas yog qhov ntxoov ntxoo muaj xws li qhov tseem ceeb uas qhov kev tsis sib xws ntawm cov kab tawm muaj tseeb
Yuav ua li cas koj nrhiav tau qhov sib npaug ntawm ib kab perpendicular mus rau ib tug taw tes?
Ua ntej, muab qhov sib npaug ntawm kab muab rau hauv daim ntawv nqes hav-intercept los ntawm kev daws rau y. Koj tau txais y = 2 x + 5, txoj kab nqes yog -2. Perpendicular kab muaj qhov tsis sib thooj-reciprocal slopes, yog li txoj kab nqes ntawm txoj kab peb xav pom yog 1/2. Txuas lub ntsiab lus muab rau hauv qhov sib npaug y = 1/2x + b thiab daws rau b, peb tau txais b = 6
Yuav ua li cas koj nrhiav tau qhov sib npaug ntawm ib kab uas muab ib tug point thiab ib tug parallel kab?
Qhov sib npaug ntawm kab hauv daim ntawv nqes hav-intercept yog y = 2x + 5. Qhov nqes hav ntawm parallelline yog tib yam: m = 2. Yog li, qhov sib npaug ntawm kab sib npaug yog y = 2x + a. Txhawm rau nrhiav ib qho, peb siv qhov tseeb tias kab yuav tsum dhau los ntawm qhov muab: 5 = (2) ⋅ (− 3) + a
Nws puas yuav ua rau pom qhov sib npaug ntawm kab sib npaug mus rau ib kab thiab los ntawm ib qho taw tes ntawm kab?
Qhov sib npaug ntawm ib kab uas yog parallel lossis perpendicular rau ib kab? Cov lus teb tau: Cov nqes hav ntawm cov kab sib npaug sib npaug. Hloov txoj kab nqes paub thiab cov kev sib koom ua ke ntawm ib qho taw tes ntawm lwm txoj kab rau hauv daim ntawv point-slope kom pom qhov sib npaug ntawm kab sib npaug
Dab tsi yog qhov sib txawv ntawm cov kab lus sib npaug thiab qhov sib npaug sib npaug?
Cov kab lus sib npaug muaj qhov muaj txiaj ntsig zoo ib yam tab sis tau nthuav tawm nyob rau hauv ib hom ntawv sib txawv uas siv cov khoom ntawm cov lej xws li ax + bx = (a + b) x yog cov kab lus sib npaug. nruj me ntsis, lawv tsis yog 'sib npaug', yog li peb yuav tsum siv 3 kab sib luag hauv 'sib npaug' es tsis yog 2 raws li qhia ntawm no