Page 130 - 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

(

( iw¡th dk mRiknu esa fgLlk bfr fl¼e~
6- mRiknu iQyu osQ rFkk Øe'k% Je yksp rFkk iw¡th yksp dks iznf'kZr djrs gSaA mRiknu iQyu dh fo'ks"krk (5)
ls
∂
L P
α (
P L
∂
∂ P / P
( ( Je dh yksp
∂ L / L
K ∂ P
β (
P ∂ K
∂ P / P
( ( iw¡th dh yksp bfr fl¼e~
∂ K / K

dkWc&MksXyl mRiknu iQyu dk foLrkj iFk 4D

1 js[kh; le:i gksrk gS rFkk ewy fcUnq ls
gksdj xqtjrk gSA
dkWc&MksXyl mRiknu iQyu
α
β
( $ !
nksuksa rjiQ E9 '5 ysus ij
. ' ( . '$ , α . ' , β . ' , . ' !

rFkk osQ lanHkZ esa i`Fko~Q&i`Fko~Q :i esa vodyu djus ij
1 ∂P ( α $
P ∂L L
1 ∂P ( β &
P ∂Κ K

lehdj.k $ rFkk & dks iqu% fy[kus ij
∂ αP
( = P ·
∂L L
∂ P β

rFkk ( ∂ L = P ⋅ Κ

MP P
∴ L ( L
MP K P K
P α/L ( P L
β /P K P K

α K P L
vFkok β · L ( P K