The point x=a txiav txim siab qhov taw tes rau kev ua haujlwm f yog tias f txuas ntxiv ntawm x=a, thiab qhov thib ob derivative f '' yog qhov tsis zoo (-) rau xa, los yog f'' yog zoo (+) rau xa. 8.
Yuav ua li cas koj pom qhov taw tes ntawm inflection?
Ib qho taw qhia ntawm kev ua txhaum yog pom qhov twg daim duab (lossis duab) ntawm kev ua haujlwm hloov pauv concavityTxhawm rau nrhiav qhov algebraically, peb xav nrhiav qhov twg qhov thib ob derivative ntawm cov haujlwm hloov pauv kos npe, los ntawm qhov tsis zoo mus rau qhov zoo, los yog vice-versa. Yog li, peb pom qhov thib ob derivative ntawm lub luag haujlwm muab.
YPuas X puas muaj qhov cuam tshuam?
Yog li peb tuaj yeem pom tias txoj haujlwm muaj qhov sib txawv ntawm ob sab ntawm x=0 thiab qhov taw qhia inflection yog ntawm x=0. Nco ntsoov qhov inflection point tsis yog qhov uas muaj nuj nqi hla lub x-axis tab sis yog qhov twg qhov concavity hloov pauv.
Puas yog qhov taw tes X lossis Y?
txhawm rau nrhiav x-kev sib koom tes ntawm qhov taw tes ntawm kev ua txhaum, peb teeb tsa qhov thib ob derivative ntawm qhov ua haujlwm sib npaug rau xoom. \displaystyle x=\frac{6}{12}=\frac{1}{2}. Txhawm rau nrhiav y-coordinate ntawm lub ntsiab lus, peb ntsaws x-coordinate rov qab mus rau qhov qub ua haujlwm.
Yuav ua li cas ntawm qhov taw tes ntawm inflection?
Cov ntsiab lus nkag siab yog cov ntsiab lus uas lub luag haujlwm hloov pauv qhov sib txawv, piv txwv li los ntawm "concave up" mus rau "concave down" lossis vice versa. … Zoo ib yam li cov ntsiab lus tseem ceeb hauv thawj qhov derivative, cov ntsiab lus inflection yuav tshwm sim thaum qhov thib ob derivative yog xoom lossis tsis tau txhais.
