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.
Puas yog qhov thib ob derivative zoo thaum concave?
Qhov thib ob derivative qhia seb qhov nkhaus yog concave los yog concave down ntawm qhov point. Yog hais tias qhov thib ob derivative yog qhov zoo ntawm qhov taw tes,daim duab yog khoov upwardsntawm qhov ntawd. Ib yam li yog qhov thib ob derivative tsis zoo, daim duab yog concave down.
qhov txiaj ntsig thib ob txhais tau li cas?
qhov zoo thib ob ntawm x qhia peb tias tus lej ntawm f(x) nce ntawm qhov taw testhiab, duab, qhov nkhaus ntawm daim duab yog concave ntawm qhov ntawd. … Yog li, yog tias x yog qhov tseem ceeb ntawm f(x) thiab qhov thib ob derivative ntawm f(x) yog qhov zoo, ces x yog qhov tsawg kawg nkaus hauv zos ntawm f(x).
qhov thib ob qhia tau tias concavity li cas?
5 Teb. 2nd derivative yog qhia rau koj yuav ua li cas txoj kab nqes ntawm txoj kab tangent rau daim duab hloov. 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.
Koj paub li cas yog concavityzoo?
Yuav kom pom qhov concavity nws hloov los ntawm thiab mus rau, koj ntsaws cov lej ntawm ob sab ntawm qhov taw tes inflection. Yog hais tias qhov tshwm sim tsis zoo, daim duab yog concave down thiab yog tias nws yog zoo tus duab yog concave up.
