Dab tsi yog qhov chaw nres tsheb?

2024 Tus sau: Fiona Howard | [email protected]. Kawg hloov kho: 2024-01-10 06:38

Hauv kev lej, tshwj xeeb hauv kev suav lej, qhov chaw nyob ruaj khov ntawm qhov sib txawv ntawm qhov sib txawv ntawm ib qho kev sib txawv yog ib qho taw qhia ntawm daim duab ntawm qhov kev ua haujlwm uas qhov kev ua haujlwm yog xoom. Raws li txoj cai, nws yog qhov taw qhia qhov ua haujlwm "tsawg" nce lossis txo qis.

Koj pom qhov chaw nyob ruaj khov li cas?

Peb paub tias ntawm cov ntsiab lus nyob ruaj khov, dy/dx=0 (vim qhov gradient yog xoom ntawm cov ntsiab lus nyob ruaj khov). Los ntawm kev sib txawv, peb tau txais: dy/dx=2x. Yog li ntawd, cov ntsiab lus nyob ruaj ruaj ntawm daim duab no tshwm sim thaum 2x=0, uas yog thaum x=0. Thaum x=0, y=0, yog li cov kev tswj hwm ntawm qhov chaw nres tsheb yog (0, 0).

Dab tsi yog qhov chaw nres tsheb ntawm qhov nkhaus?

Ib qho chaw nyob ruaj khov yog ib qho taw tes rau ntawm qhov nkhaus uas qhov gradient sib npaug 0 . A point of inflection - yog lub ntsiab lus nyob ruaj ruaj rau hauv d²y/dx²=0 thiab d^{2 y/dx}2 ^{ntawm txhua sab ntawm qhov taw tes muaj cov cim sib txawv.}

Dab tsi yog cov ntsiab lus nyob ruaj ruaj thiab cov lus hais?

Critical Point: Cia f txhais ntawm c. Tom qab ntawd, peb muaj qhov tseem ceeb ntawm qhov twg f′(c)=0 lossis qhov twg f(c) tsis txawv (lossis sib npaug, f′(c) tsis txhais). Cov ntsiab lus uas f′(c) tsis tau txhais yog hu ua cov ntsiab lus thiab cov ntsiab lus uas f′(c) yog 0 yog hu ua cov ntsiab lus nyob ruaj khov

Puas yog qhov chaw nres tsheb yog qhov hloov pauv?

Yog li, tag nrho cov ntsiab lus tig yog cov ntsiab lus nyob ruaj khov. Tab sis tsis yog txhua qhov chaw nyob ruaj khov yog cov ntsiab lus tig (piv txwv li point C). Hauv lwm lo lus, muaj cov ntsiab lus uas dy dx=0 uas tsis hloov cov ntsiab lus. Ntawm qhov hloov pauv dy dx=0.