Page 96 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math4-1 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

mnkgj.k 7- !
dk osQ lkis{k vody xq.kkad   Kkr dhft,A
  dx

gy % * : ;

* ; * : ;
osQ lkis{k vodyu ls
1 + 1 dy : 2x + 2y dy
x ydx dx
dy  1 − 2y : 2x − 1

dx   y   x
dy  1 − 2y  2 : 2x − 1
2
dx    y    x

2
(2
dy : yx − 1)
dx x (1 − 2y 2 ) mÙkj
iz'ukoyh 712

y?kq mÙkjh; iz'u
fuEufyf[kr iQyuksa dk osQ lkis{k vodyu dhft,µ
1- 2-

3- * 4- ;
x
5- 8 8 8 6-
1 + x 2
1 − x

7- 1 + x 8- ;
;
x 1 + x
x
9- 10- e x
(1 + x 23/ 2
)
) ( −
x + 2 x + 1 (x − ax ) b
11- 12-
x − 2 x + 1 x − c
13- *

1 − x 2 dy
14- ;fn : rks fl¼ dhft, fd (1 − x ) + y : -
1 + x dx

15- ;fn y = 10 10 x ] rks dy Kkr dhft,A
dx

(x + 1) 2 x − 1 dy
16- ;fn : 3 x rks dk eku Kkr dhft,A
(x + 4) e dx