Concavity cuam tshuam rau tus nqi ntawm kev hloov pauv ntawm kev ua haujlwm qhov kev sib txuas. Ib txoj haujlwm f yog concave up (los yog upwards) qhov twg cov derivative f ' nce. Qhov no yog sib npaug rau qhov derivative ntawm f′, uas yog f′f, pib superscript, prime, prime, end superscript, ua zoo.
Vim li cas qhov thib ob ua rau pom qhov sib txawv?
2nd derivative yog qhia rau koj yuav ua li cas txoj kab nqes ntawm txoj kab tangent rau daim duab hloov pauv. Yog tias koj tsiv los ntawm sab laug mus rau sab xis, thiab txoj kab nqes ntawm txoj kab tangent yog nce thiab yog li qhov thib 2 yog qhov zoo tshaj plaws, ces txoj kab tangent yog tig rov qab. Uas ua rau daim duab concave.
Dab tsi yog thawj derivative ntawm?
thawj qhov kev ua haujlwm ntawm kev ua haujlwm yoglus qhia uas qhia peb txoj kab nqes ntawm txoj kab tangent mus rau qhov nkhaus ntawm ib qho instant. Vim hais tias ntawm no lub ntsiab txhais, thawj derivative ntawm ib tug muaj nuj nqi qhia peb ntau npaum li cas txog lub function. Yog tias qhov zoo, ces yuav tsum nce ntxiv. Yog hais tias tsis zoo, ces yuav tsum tau txo.
Yuav ua li cas yog tias thawj qhov derivative yog 0?
Thawj qhov kev txiav txim siab ntawm qhov taw tes yog txoj kab nqes ntawm txoj kab tangent ntawm qhov taw tes. … Thaum txoj kab nqes ntawm txoj kab tangent yog 0, qhov taw tes yog qhov tsawg kawg nkaus hauv zos lossis qhov siab tshaj plaws hauv zos. Yog li thaum thawj derivative ntawm ib qho taw tes yog 0, tus taw tes yog qhov chaw ntawm qhov tsawg kawg nkaus hauv zos lossis siab tshaj.
2nd derivative qhia koj li cas?
Qhov thib ob derivativentsuas tus nqi tam sim ntawm kev hloov pauv thawj zaug. Lub cim ntawm qhov thib ob derivative qhia peb seb txoj kab nqes ntawm txoj kab tangent mus rau f yog nce los yog txo. … Nyob rau hauv lwm yam lus, qhov thib ob derivative qhia peb tus nqi ntawm qhov kev hloov ntawm tus nqi ntawm kev hloov ntawm tus thawj function.
