The derivative of y=ln(2) is 0. Nco ntsoov tias ib qho ntawm cov khoom ntawm derivatives yog qhov derivative ntawm qhov tas li yog 0.
Yuav ua li cas koj thiaj nrhiav tau tus derivative ntawm ln?
Cov kauj ruam yog raws li hauv qab no:
- Let y=ln(x).
- Siv lub ntsiab lus ntawm lub logarithm los sau y=ln(x) hauv logarithmic daim ntawv. …
- Thiab y ua haujlwm ntawm x, thiab coj cov txiaj ntsig ntawm txhua sab ntawm kev sib npaug nrog rau x.
- Siv txoj cai saw ntawm sab laug tes ntawm qhov sib npaug kom pom qhov derivative.
Dab tsi yog qhov derivative ntawm ln E?
ln(e) yog sib npaug rau 1, tsis yog derivative. Vim tias ln(2)=1, qhov tas mus li, nws cov txiaj ntsig yog 0.
Yuav ua li cas koj thiaj nrhiav tau lub derivative ntawm log?
txhawm rau nrhiav cov txiaj ntsig ntawm lwm cov haujlwm logarithmic, koj yuav tsum siv qhov hloov pauv ntawm cov qauv hauv qab: loga(x)=ln(x)/ln(a) . Nrog rau qhov no, koj tuaj yeem muab cov haujlwm logarithmic nrog txhua lub hauv paus. Piv txwv li, yog f(x)=log3(x), ces f(x)=ln(x)/ln(3).
Dab tsi yog E?
Proportionality Constant
Nws ua raws, yog li ntawd, yog tias lub log ntawm lub hauv paus yog sib npaug rau ib qho, qhov kev ua haujlwm ntawm qhov sib npaug yuav sib npaug rau qhov kev ua haujlwm qub. Qhov no yog raws nraim li qhov tshwm sim nrog lub hwj chim ua haujlwm ntawm e: lub ntuj cav ntawm e yog 1, thiab yog li ntawd, tus derivative ntawm ex yog ex.