Page 170 - 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
dx ( +

∴ * ! , ( + ;k * ! , ( +
;k * * ( + ∴ ( )
vc (1) dk vodyu djus ij
2
dy
dx 2 ( * !
2
dy
vkSj ( osQ fy, ( * ! ( * tks Í.k gSA
dx 2
vr% ( ij iQyu mfPp"B gSA

;g mfPp"B eku ( * I , * !
( * I , * ! ( mÙkj
2
dy
vc ( osQ fy, ( * ! ( /u gSA
dx 2
vr% ( ij iQyu mfPp"B gSA

vkSj iQyu dk fufEu"B eku
( * I , * ! ( mÙkj

mnkgj.k 5- osQ fdu ekuksa osQ fy;s] iQyu ! & & ! % mfPp"B vFkok fufEu"B gSA
fl¼ dhft, fd
ij ;g iQyu u mfPp"B gS vkSj u fufEu"BA

gy % eku yhft, ( * & , & *
nksuksa i{kksa dk osQ lkis{k vodyu djus ij
dy ( & * + , &

dx

(& * $ , ! ( & * * !

dy
iQyu osQ mPpre ;k fuEure eku osQ fy, ( +
dx

∴ & * * ! ( + ∴ ( +) ) !
2
dy

vc ( + * + , !+ ( + * , !
dx 2
( izfrLFkkfir djus ij
2
dy
dx 2 ( + * , ! ( * + Í.kkRed
∴ ( ij iQyu mfPp"B gSA
(! izfrLFkkfir djus ij