A monotonic muaj nuj nqi yog ib qho haujlwm uas yog tag nrho tsis muaj nce lossis tsis txo qis. Ib qho kev ua haujlwm yog monotonic yog tias nws thawj derivative (uas yuav tsum tsis tu ncua) tsis hloov kos npe.
Koj paub li cas yog ib yam dab tsi yog monotonic?
Test rau cov haujlwm monotonic hais: Piv txwv tias muaj nuj nqi txuas ntxiv ntawm [a, b] thiab nws txawv ntawm (a, b). Yog tias qhov sib piv loj dua xoom rau tag nrho x hauv (a, b), ces qhov kev ua haujlwm nce rau [a, b]. Yog hais tias tus derivative tsawg dua xoom rau tag nrho x hauv (a, b), ces qhov kev ua haujlwm yuav txo qis rau [a, b].
piv txwv monotonic yog dab tsi?
Monotonicity of a Function
Functions hu ua monotonic yog tias lawv nce lossis txo qis hauv lawv cov npe tag nrho. Piv txwv: f(x)=2x + 3, f(x)=log(x) , f(x)=ex yog cov piv txwv ntawm nce kev ua haujlwm thiab f(x)=-x5 thiab f(x)=e-x yog cov piv txwv ntawm kev txo qis ua haujlwm.
lub sijhawm monotone txhais li cas?
Yog hais tias ntawm txhua lub sijhawm ntawm lub sijhawm f muaj qhov sib piv uas tsis hloov kos npe(raws li, yog lub cim tas li), ces f yog monotone (tseem ceeb monotone) ntawm qhov no lub sijhawm. Lub tswv yim ntawm kev ua haujlwm monotone tuaj yeem ua rau kev ua haujlwm ntawm ntau chav kawm.
Kev hloov pauv monotone yog dab tsi?
Kev hloov pauv monotonic yog txoj hauv kev hloov pauv ib pawg ntawm cov lej mus rau lwm cov lej hauv ib qhotxoj kev uas qhov kev txiav txim ntawm tus lej khaws cia. Yog tias qhov kev siv hluav taws xob qub yog U(x, y), peb sawv cev. kev hloov pauv monotonic los ntawm [
