Page 169 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math9-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ mfPp"B vkSj fufEu"B % ,d pj

vr% ( 2 ij iQyu dk eku mPpre gS uksV

2
dy

( ! ij dk eku ( ! * $8 ! , $$
dx 2
( +8 * $$ , $$
(8 ( /ukRed jkf'k
vr% ( ! ij iQyu dk eku U;wure gSA

mnkgj.k 3- ! # ( dk mfPp"B vkSj fufEu"B eku Kkr dhft,A

gy % ekuk ( * , ,
dy
dx ( ! * $ ,

2
dy
rFkk ( * $
dx 2
dy
vc ( + j[kus ij
dx
1

! * $ , ( + ;k ! * * ( +) ftlls ( ;k
3
bUgha fcUnqvksa ij iQyu mfPp"B ;k fufEu"B gksxkA
2
1 dy 1
vc ( ij dk eku ( * $ ( * @ + (Í.kkRed)
3 dx 2 3
1
∴ iQyu ( ij mfPp"B gSA
3
2
dy
vkSj ( ij dk eku ( * $ ( ? + (/ukRed)
dx 2
vr% iQyu ( ij fufEu"B gSA
1
1
1
   3  2 1 166
mfPp"B eku (  =   −  + 2. + 6 =
3
3
3
    3 27

rFkk fufEu"B eku ( ( * , , ( mÙkj

mnkgj.k 4- iQyu # ! ' %# ! osQ fdu ekuksa ij mfPp"B ;k fufEu"B gS\
iQyu osQ mu ekuksa dks Hkh Kkr dhft,A

gy % eku yhft, fd ( * I , * !
vc iQyu dk osQ lkis{k vodyu djus ij
dy
dx ( * 8 , ( * ! ,
iQyu osQ mPpre ;k fuEure eku osQ fy,