Peb tab tom nrhiav qhov txiaj ntsig ntawm x qhov twg y'=0, lub ntsiab lus tangent yog kab rov tav. Txij li qhov no yog qhov tseeb tsis tseeb, tsis muaj kev daws teeb meem, yog li, tsis muaj kab rov tav tangents.
Koj ua li cas qhia qhov nkhaus tsis muaj kab rov tav tangents?
vim tsis muaj tangent rau daim duab y=x5 + 2x tuaj yeem muaj qhov sib npaug sib npaug rau 0, tsis tuaj yeem muaj kab rov tav tangents. qhov me tshaj txoj kab nqes tuaj yeem pom los ntawm kev suav tus nqi ntawm x thaum qhov thib ob derivative yog 0. (nco ntsoov tias tag nrho cov gradients 5x4 + 2, rau txhua tus nqi ntawm x, tsis yog qhov tsis zoo.)
Puas yog qhov nkhaus puas muaj tangent?
Hauv geometry, txoj kab tangent (lossis yooj yim tangent) mus rau lub dav hlau nkhaus ntawm qhov taw tes yog txoj kab ncaj nraim uas "tsuas yog kov" qhov nkhaus ntawm qhov taw tes. Leibniz txhais tias nws yog txoj kab dhau los ntawm ob khub ntawm cov ntsiab lus kaw tsis kawg ntawm qhov nkhaus.
Yuav ua li cas thaum ib kab yog tangent mus rau nkhaus?
tangent, nyob rau hauv geometry, tangent kab mus rau ib tug nkhaus ntawm ib tug taw tes yog tias txoj kab ncaj uas kwv yees zoo tshaj plaws (los yog "clings rau") nkhaus nyob ze ntawm qhov taw tes. Tej zaum nws yuav raug suav hais tias yog qhov txwv txoj haujlwm ntawm txoj kab ncaj nraim hla ntawm qhov taw tes thiab qhov chaw ze ntawm qhov nkhaus raws li qhov taw tes thib ob ze rau thawj.
Koj qhia li cas yog kab tangent rau nkhaus?
Kev piav qhia: Los ntawm kev daws ob qhov sib npaug koj yuav tau txais ib qho point (x, y) uas nyob ntawm ob qho tib si nkhaus thiabtxoj kab ncaj nraim. Yog tias koj tau txais ntau tshaj ib qho taw tes ces kab no yuav sib tshuam thiab tsis yog tangent rau qhov nkhaus. yog nws tus nqi sib npaug rau txoj kab nqes ntawm txoj kab ncaj ces kab no yog nws tangent.
