Page 139 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math7-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ le:i iQyu ,oa ;wylZ izes;

(c) iw¡th dh mRiknu yksp uksV

K ∂ Q K
α
L
( = · A K α− 1 β
Q ∂ K Q
L
K A K α− 1 β
α
α
L =
( AK α− 1 β α = α
αβ
L
AK L A K α − 1 β
α
Je dh mRiknu yksp
∂
LQ L αβ − 1
β
( = · AK L
Q ∂ L Q
L
α
( A β K L β − 1
αβ
AKL
β
( AK α L β − 1 =β
AK α L β − 1
bl izdkj α rFkk β nh gqbZ mRiknu iQyu esa iw¡th o Je dh mRiknu dh yksp dks iznf'kZr djrs gSaA
Lo&ewY;kadu
2- cgqfodYih; iz'u - . . / %

µ
6- dkWc&MksXyl mRiknu iQyu osQ izfriknu dk Js; fdls fn;k tkrk gS\
lh-MCY;w- dkWc rFkk Mh-,p- MksXyl dkWc vkSj ek'kZy

MksXyl ,oa vjLrq mijksDr lHkh
7- mRiknu iQyu gSµ
α
β
α
β
( $ ! ( $ " !
β
α
( β $ !
8- lh-bZ-,l- osQ lhekUr mRikn lnSo gksrs gSaµ
½.kkRed ?kukRed /ukRed buesa ls dksbZ ugha
7-5 lkjka'k

• vFkZ'kkL=k eas vf/drj iz;ksx gksus okys ,d fo'ks"k izdkj osQ iQyu dks le:i iQyu dgrs gSaA
• ;wylZ izes; crkrh gS fd tc lHkh mRifÙk osQ lk/u ,d fn;s gq, vuqikr esa c<+k;s tkrs gSa rks
ifj.kkeLo:i mRiknu Hkh mlh vuqikr esa c<+ tk;sxk] ;fn izR;sd mRifÙk osQ lk/u dks mldh lhekUr
mRikndrk osQ ewY; osQ cjkcj iqjLdkj fn;k tkrk gS rFkk oqQy mRiknu iw.kZ:i ls ifjlekIr gks tkrk
gSA
• ;wylZ izes; dk vkfFkZd {ks=k esa] fo'ks"kdj forj.k {ks=k esa fo'ks"k egÙoiw.kZ LFkku gSA mRiknu fofHkUu
lk/uksa osQ la;qDr la;ksx ls gksrk gSA