Page 93 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math4-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ y?kqx.kdh; vodyu

dy uksV
;kn j[kks fd osQ iQyu dk osQ lkis{k vodyu djus osQ fy, iQyu dk osQ lkis{k vodyu djosQ
dx
ls xq.kk djrs gSaA

lko/kkuh *
; ≠ *
; *

vr% ;fn :

gks] rks * ≠ * ; *
,sls iz'uksa esa izR;sd in dk vody xq.kkad vyx&vyx Kkr djuk iM+sxkA rnqijkUr la;qDr vody xq.kkad izkIr
gksxkA

uksV~l oqQN mi;ksxh lw=k%

* 7 # : * 7 ; * #

 m 
*   : * 7 8 * #
 n 

* 7 : # * 7

gy lfgr mnkgj.k

mnkgj.k 1- iQyu ! dk osQ lkis{k vody xq.kkad Kkr dhft;sA

gy % ekuk *

nksuksa i{kksa dk y?kqx.kd ysus ij

* : * * * ; *

nksuksa i{kksa dk osQ lkis{k vodyu djus ij
1
1 dy : 1 (e x ) + 1  + 1 (sec x )
2

y dx e x log x  tan x
x
e
1 cos x 1
: 1 + + .
2
x log x sin x cos x
e
1 1 1
: 1 + + : 1 + + 2cosec 2x
x log x sin x cos x x log x
e
e
dy  1 
∴ : y  1 + + 2cosec 2x 
dx  x log x 
e
dy x  1 

vr% : e log x tan x  1 + + 2 cosec 2x mÙkj
e
dx  x log x 
e