Page 89 - 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

x − 4 dy dy uksV
" ;fn y = ] rks : ij dk eku Kkr dhft,A D;k : - ij dk eku fey ldrk
2 x dx dx

gS\
5x + 2 6x + 7 dy
" ;fn : 9 rks Kkr dhft,A
2x + 2 3x + 4 dx
a x dy
%" ;fn : 9 rks Kkr dhft,A
x n dx

fuEu iQyuksa dk osQ lkis{k vody&xq.kkad Kkr dhft,%
x
a + x e + e − x
"
x
a − x e − e − x
x
xe − 1 x
#"
x 1 − x 2
1
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) ( +
(x + ax b ) (x + ) c

mÙkj

2
1 nx n − 1 log x − x n− 1 a − x 2
e
− x − 5/ 4 2 2 2 2
4 (log 2) (a + x )
e
2xe 2 e x (1 − ) x 2 e x
(e + x 2 2 (1 + x 22 # (1 + e x ) 2
)
2
)
11 3(x + 2 4x + 1) a x n
% + 2 2 - [log a − ]
e
19 (2x + 2x + 4) x n x
a − 4 1
x
2 x − x 2 e + 2
x ( a − x ) [e − e ] x
1 3x + 2 2(a + b + ) c x + (ab + bc + ca )
(1 − x 23/ 2 (x + a ) (x + 2 b ) (x + 2 ) c 2
)

Lo&ewY;kadu

2- cgqfodYih; iz'u ) " 7/

µ

d d
{ ( )} = fx f 1 ( ) ± x ........
dx dx

d d d d
x
f
x

f 2 f 1 f ()
{( )}
dx dx dx dx