Page 172 - 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 1
( , ij iQyu fufEu"B gSA
3
1
vkSj ( * osQ fy,
3

2
dy  − 1  − = − 12

dx 2 ( 2 3   2 3 Í.kkRed

2
∴ ( * ij iQyu mfPp"B gSA
3
1
vc fn;s iQyu esa ( * izfrLFkkfir djus ij
3
 1   1   1 
mfPp"B eku ( 2 −  − 1   2 − − 2   2 − − 3 
 3   3   3 

 1   1   1  2
(  1 −   −   − 1 −  ( mÙkj
 3   3   3  33

 x
1

mnkgj.k 7- fl¼ dhft;s fd  dk mfPp"B eku gSA
x

1
 x
gy % eku yhft, ( 
x

E 5 vk/kj ij nksuksa i{kksa dk . ' ysus ij
1
 x 1

. ' ( . '  ( . ' ( . ' ( * . '
x
 x
osQ lkis{k vodyu djus ij
1 dy  1 

y dx ( * x . x + 1.log x  

dy
∴ ( * , . '
dx
osQ mfPp"B ;k fufEu"B eku osQ fy,
dy ( +
dx

∴ * , . ' ( + ;k . ' ( * ≠ +
;k * . ' (
1 1
;k . ' ( . ' ⇒ (
x e
2
dy  1 dy
x

vc ( * y . + (1 + log ) 
dx 2  x dx 