Page 85 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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E\L-LOVELY-H\math3-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ vodyu

3-10 iQyu ! dk osQ lkis{k vody&xq.kkad] tcfd y?kqx.kd dk vk/kj dksbZ uksV

vpj gS
3

! 6

)$

! $ "

5

;gk¡ : * : * * <lw=k ls=

: * *

d
vr% iQyu * dk osQ lkis{k vody&xq.kkad *
dx
d d
: * * : * * 9
dx dx
1  d 1 
: * x   log x = x   dx

e
d 1
∴ log x : log e
dx a x a

gy lfgr mnkgj.k

mnkgj.k 1- + # dk vody&xq.kkad Kkr dhft,A
d d d

gy % # ; : # ;
dx dx dx
d d

:# ;
dx dx
1
:# ; : ; mÙkj

3
mnkgj.k 2- + ! x dk vody&xq.kkad Kkr dhft,A
d d d d
gy % # * 8 x 8 % : # * 8 8 %

dx dx dx dx
1 1 6 1
:# − 8 - : − mÙkj
x 2 x 2
mnkgj.k 3- iQyu x ! ! dk osQ lkis{k vody&xq.kkad Kkr dhft,A

d d d d

gy ( x ; % * 8 * : ; % * 8 *
dx dx dx dx
d d d
: ; % * *

dx dx dx
5 7 1
: ; 8 * mÙkj
2 x x