Page 171 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI
P. 171
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
2
dy ( + ; ! ; ! * ; ! , ! ( !+ 8 * 8 , ! uksV
dx 2
( I+ /ukRed
∴ ( ! ij iQyu fufEu"B gSA
(+ izfrLFkkfir djus ij
2
dy
dx 2 ( +) iQyu mfPp"B gS vFkok fufEu"B ugha dgk tk ldrkA
3
dy
vc 3 ( + * + , !+
dx
( +) izfrLFkkfir djus ij
3
dy
dx 3 ( + * + , !+ ( !+ tks 'kwU; ugha gSA
vr% ( + ij iQyu u mfPp"B gS vkSj u fufEu"BA
mnkgj.k 6- iQyu ! % ! # ! dk mfPp"B eku Kkr dhft;sA
gy % eku yhft, ( * * * !
( * , *
nksuksa i{kksa dk osQ lkis{k vodyu djus ij
dy
dx ( ! * ,
mfPp"B ;k fufEu"B eku osQ fy,
dy
dx ( +
∴ ! * , ( +
12 ± − 144 × 3 11 12 ± 2 3
× 4
;k ( (
6 6
1
⇒ ( M
3
1 1
∴ ( , ;k ( *
3 3
2
dy
vc 2 ( *
dx
1
( , osQ fy,
3
2
dy ( 2 + 1 * (
dx 2 3 3 /ukRed