Page 129 - 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;

∂ P uksV
vr% ( α$ α β !
∂ L
β
∂ P / L α AL α− 1 K u α K
∂
' ( = =
α
∂ P ∂ / K β AL K u L β
β
α  K 
(  − 
β  L 
∂' ( αCβ∂ )
∂( K / L) / K L ∂( K / L) / K L
/
/
vr% σ ( =
∂( P L / P ) / P L / P K ∂ R / R
K
∂( KL) / KL
/
/
σ ( = 1
/
∂( KL) ⋅ α /b
/ )
(KL ⋅α /b
bfr fl¼e~
4- mRiknu osQ fy, iw¡th rFkk Je vko';d lk/u gksrs gSaµ mRiknu osQ fy, /u 'kwU; gks tk;s rks oqQy mRiknu
Hkh 'kwU; gks tk;sxk
β
α
mRiknu iQyu] ( $ !
ekuk (+
β
( $ & ! ( +
ekuk ( +
α
( $ ! ( +
vr% mRifÙk osQ fy, nksuksa lk/u vko';d gSaA
α β
5- ;fn mRiknu iQyu ( $ ! js[kh; rFkk le:i gksrh gS rks α rFkk β Øe'k% oqQy mRiknu esa Je
rFkk iw¡th osQ fgLls dks iznf'kZr djrs gSaA
β
α
mRiknu iQyu] ( $ !
rFkk osQ lanHkZ esa i`Fko~Q&i`Fko~Q vodyu djus ij
1 ∂ p 1
P ( ∂ L . α L
∂
1 P ( . β 1
P K K
∂
∂
LR
∴ α ( = ×
∂

PL

(

( Jfed dk oqQy mRiknu esa fgLlkA
∂
KP
rFkk β ( = ×
∂

PK