Page 18 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

vFkZ'kkfL=k;ksa dk xf.kr

uksV mnkgj.k 11- ;fn
rks fl¼ dhft, fd
"
gy %
φ :
∴ φ 8 : 8 : 8 : 8φ mÙkj
x f(a /b)
mnkgj.k 12- ;fn
rks dk eku Kkr dhft,A
x − 1 fb a
(/ )
(/ ) ( / ) a
b
a
ab
gy %
J : = =
−
(/ ) 1 (a − b )/b a − b
ab
(/ ) ( / ) b
ba
ba
vkSj J
: = =
−
(/ ) 1 (b − a )/a b − a
ba
f (/ ) a b − a a
ab
∴ : . =− mÙkj
ba
f (/ ) a − b b b
1   1

mnkgj.k 13- ;fn
] rks f   dk eku fudkfy,A
x 3   x
gy %
1

: 8
x 3
1
osQ LFkku ij j[kus ij]
x
1
1
  3 1 1
3
f  :  − = − x mÙkj
x
x
   3 x 3
1

x

x   a   b  
mnkgj.k 14- ;fn
rks  f  − f     dk eku Kkr dhft,A
x 2 +1    b   a 
x
gy % : 2
x + 1
a b
 a   b a
b  
∴ f  − f     : −
b
   a  a 2 + 1 b 2
2
b 2 a + 1
ab ab
: − = 0 mÙkj
a + 2 b 2 a + 2 b 2
1

mnkgj.k 15- ;fn
] rks d eku Kkr dhft,A
x 3
1

gy % : 8
x 3