Page 174 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math9-1 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   dy   dy
  ( +)   ( +
 −  dx 1   dx 2
⇒ * * , ( +

a

rFkk  , $ , ( +
2


vkSj

dks gy djus ij
1
( * ) ( * mÙkj
2

mnkgj.k 10- iQyu
#
3 3 # osQ mfPp"B ;k fufEu"B eku Kkr dhft,A
gy % eku yhft, ( ,
dy
∴ ( ,
dx
dy
dx ( + izfrLFkkfir djus ij] ,
( +
1
;k
( *
2
π 2 π 4 π π 2
vr% ( , A + @ @ πB ⇒ ( ,
3 3 3 3
2
dy
vc 2 ( * $
dx
π
(1) tc (
3
2
dy 2 π   3
dx 2 ( * $

3 =− 4    2    =− 2 3 Í.kkRed

π
∴ ( ij iQyu mfPp"B gSA
3
π
vkSj fn;s iQyu esa ( izfrLFkkfir djus ij] iQyu dk mfPp"B eku
3
π π 2 π 3 π 2 + 3 3
( ,

= + = mÙkj
3 3 3 2 6
2
2 π dy 4 π
(2) tc ( rks ( * $
3 dx 2 3
 3 
(* $ −   ( 3 /ukRed


 2 