Video: Yuav ua li cas koj nrhiav tau kab rov tav tangent?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Kab rov tav muaj qhov nqes hav ntawm xoom. Yog li ntawd, thaum lub derivative yog xoom, lub kab tangent yog kab rov tav . Nrhiav kab rov tav tangent kab , siv cov derivative ntawm kev ua haujlwm los nrhiav cov xoom thiab ntsaws lawv rov qab rau hauv qhov sib npaug qub.
Hais txog qhov no, puas yog kab rov tav sib txawv?
Qhov twg f(x) muaj a kab rov tav tangent kab ,f'(x) = 0. Yog muaj nuj nqi sib txawv ntawm ib qho taw tes, ces nws yog txuas ntxiv ntawm qhov ntawd. Ib txoj haujlwm tsis yog sib txawv ntawm ib qho taw tes yog tias nws tsis txuas ntxiv ntawm qhov taw tes, yog tias nws muaj a ntsug tangent kab ntawm qhov taw tes, lossis yog tias daim duab muaj lub kaum ntse ntse lossis cusp.
Tsis tas li ntawd, dab tsi yog qhov derivative ntawm kab rov tav? Yog li, qhov derivative ntawm qhov tsis tu ncua yog 0. Qhov no sib raug rau cov duab ntawm cov khoom siv uas peb tau ua dhau los. Graph ntawm a ua haujlwm tas li yog kab rov tav thiab cov txoj kab nqes ntawm ib kab kab rov tav yog 0. Txoj Cai tsis tu ncua: Yog f(x) = c, ces f '(x) = 0.
Ib yam li ntawd, tib neeg nug, kab tangent mus rau qhov nkhaus yog dab tsi?
Hauv geometry, lub kab tangent (los yog yooj yim tangent ) mus rau lub dav hlau nkhaus ntawm ib qho 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".
Koj pom cov asymptotes ntsug thiab kab rov tav li cas?
Cov ntsug asymptotes yuav tshwm sim ntawm cov txiaj ntsig ntawm x uas tus denominator yog sib npaug rau xoom: x − 1 = 0 x = 1 Yog li, daim duab yuav muaj ntsug asymptote x = 1. To nrhiav tus kab rov tav asymptote , peb nco ntsoov tias qib ntawm tus lej yog ob thiab qib ntawm tus lej yog ib qho.
Pom zoo:
Yuav ua li cas koj txiav txim siab yog hais tias ib tug muaj nuj nqi muaj ib tug kab rov tav tangent?
Kab rov tav kab muaj txoj kab nqes ntawm xoom. Yog li ntawd, thaum lub derivative yog xoom, cov kab tangent yog kab rov tav. Txhawm rau nrhiav cov kab kab rov tav tangent, siv qhov derivative ntawm txoj haujlwm los nrhiav qhov xoom thiab ntsaws lawv rov qab rau hauv qhov sib npaug qub
Yuav ua li cas koj nrhiav tau kab rov tav stretch?
Yog tias b> 1, daim duab ncab nrog kev hwm rau y -axis, lossis vertically. Yog hais tias b <1, daim duab shrinks nrog rau y -axis. Feem ntau, kab rov tav stretch yog muab los ntawm kab zauv y = f (cx) y = f (c x)
Yuav ua li cas koj nrhiav tau qhov sib npaug ntawm kab tangent ntawm ib tug derivative?
1) Nrhiav tus 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 ua haujlwm ntawm qhov taw tes. 4) Muab txoj kab nqes los ntawm kauj ruam 2 thiab taw tes los ntawm kauj ruam 3 siv cov qauv taw tes-qhov nqes hav kom pom qhov sib npaug rau kab tangent
Vim li cas txoj kab kab rov tav muaj txoj kab nqes ntawm 0?
Mathwords: Zero Slope. Txoj kab nqes ntawm kab rov tav. Kab rov tav kab muaj nqes 0 vim tias tag nrho nws cov ntsiab lus muaj tib y-coordinate. Yog li ntawd, tus qauv siv rau txoj kab nqes ntsuas rau 0
Puas yog kab rov tav txoj kab nqes 0 lossis tsis tau txhais?
Ib yam li 'Z' (nrog nws ob kab kab rov tav) tsis zoo ib yam li 'N' (nrog nws ob txoj kab ntsug), yog li 'Xoom' txoj kab nqes (rau kab kab rov tav) tsis zoo ib yam li 'Tsis yog' txoj kab nqes (rau kab ntsug). Tus naj npawb 'zero' tshwm sim, yog li kab rov tav muaj tseeb muaj txoj kab nqes