Page 138 - 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 pw¡fd + % (iw.kZ izfr;ksfxrk dh fLFkfr esa)

iqu% ( β * α
2
( β−α (p p b )
a
A
dk eku lehdj.k
esa j[kus ij
2
b
( β−α (p p ) = Aa 1/ 2 1/ 2 ( Aa 1/ 2 1/ 2 P /P
b
A ab a b
1  2 α 
vFkok (  β− ( p p )  p a / p b = a
ab
A  A 
1  2α 
ab 
vFkok (  β− ( p p ) p a / p = a
b
A  A 
1  2α 
ab 
blh izdkj ls (  β− ( p p ) p a / p b (
A  A 
lehdj.k ( rFkk (
lk/u rFkk osQ lk/u ek¡x dks iznf'kZr djrs gSaA
mnkgj.kµ(v) ;fn mRiknu bl izdkj gSµ
α
( $ β
rks iw¡th o Je dh lhekUr mRikndrk Kkr dhft;sA
(c) mi;qZDr mRiknu iQyu esa iw¡th o Je dh mRiknu yksp gSA bls fl¼ dhft;sA

gy
µ(v) nh gqbZ mRiknu iQyu gSµ
α
( $ β
lehdj.k ^ * rFkk ^ * osQ lanHkZ esa i`Fko~Q&i`Fko~Q vkaf'kd vodyu djus ij
∂Q α β
∂K ( $α

∂ Q ( $β β
α
∂ L

iQyu

,oa

Øe'k% iw¡th rFkk Je dh lhekUr mRikndrk dks n'kkZrs gSaA bUgsa ljy :i esa iqu%
fy[kus ij

∂ Q α
β
α
( = ∴ ( $
∂ K K
∂ Q β
rFkk ( = · Q
∂ K L