Page 128 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math7-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

vFkZ'kkfL=k;ksa dk xf.kr

uksV . ' ( . ' $ , α. ' , β. ' , . ' !
i`Fko~Q&i`Fko~Q :i esa rFkk osQ lUnHkZ esa vkaf'kd vodyu
djus ij
1 P α
∂
∂
P L ( L
1 P β
∂
rFkk (
∂
P K K

rFkk

dks iqu% fy[kus ij
∂ P
L ( α
∂ L
∂ P
K ( β
(
∂ L
lehdj.k

,oa
( dks tksM+us ij
∂ P ∂ P
L , K ( α , β ( α , β
∂ L ∂ L
( A ∴ α , β ( B
3- ;fn mRiknu iQyu le:i rFkk ,d dksfV dk gksrk gS rks izfrLFkkiu dh yksp 4.

lnSo bdkbZ osQ cjkcj gksrh gSA ;fn mRiknu iQyu ( $ ! tgk¡ α , β (
α
β
ge tkurs gSa fd

izfrLFkkiu dh yksp ( σ (

∂( K / L) /(K / ) ∂( K / L) / K L
L
/
∴ σ ( =
∂( P L / P ) / P L / P K ∂ R / R
K
tgk¡ ) ( lk/u ek=kk vuqikr
' ( ( lk/u dher vuqikr

∂ K
ge tkurs gSa fd lhekUr izfrLFkkiu rduhdh dh nj (
∂ L
∂ K MP P
∴ ( L = L = R
∂ L MP K P K
∂ P ∂ / L
vU; 'kCnksa esa] ' (
∂
∂ P / K
β
α
gekjk mRiknu iQyu ( $ !
rFkk osQ lanHkZ esa i`Fko~Q&i`Fko~Q vodyu djus ij
∂ P α β
∂ L ( β$ !