Page 178 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math10-1 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 * ) * @ ) vkSj ) ? ,
, vkSj fufEu"B * ) * ? )

vkSj ) @ , ) , tgk¡ ) iQyu dh mfPp"B ,oa fufEu"B ewY; gSA

10-1 mfPp"B rFkk fufEu"B Kkr djus osQ izfrca/
'

+ ,
+
: vfuok;Z izfrcU/ 2 /

% ;fn ! ( )
rks ∂!C∂ ( ∂!C∂ ( +

G i;kZIr izfrcU/ ,,

/

%
mfPp"B osQ fy;s] ;fn ! ( ) rFkk vfuok;Z izfrcU/ ( +)
( + rks

∂ !C∂ @ +
∂ !C∂ ? +

2
2
∂ 2 ∂ u 2 u  2  ∂ u 2
∴ · ?   $& ? + * ?
x
∂ 2 ∂x y 2  ∂∂y 
B
↓ A ()  C 
fufEu"B osQ fy;s]
! ( ) ) ( + vkSj ( +

rks
∂ !C∂ ? +

∂ !C∂ ? + vkSj
2
2
∂ u  2  ∂ u

∴ ∂ !C∂ @   $ & @ +
∂y 2  ∂ ∂ · x y 
F @

mnkgj.k 1- ! ( , * , , $ mfPp"B ,oa fufEu"B ewY; fudkfy;sA
∂u

gy % ( !D , * ( +
∂x
∂u
∂y ( * , ( +
(1) o (2) dks gy djus ij

! , * ( +
* , ( +
;fn ( rks izFke lehdj.k osQ j[kus ij

! , * ( +
,! ( +
1
tc ( + ( *
4
tc ( +