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AIEEE 2004 Math Solved Paper
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© examsnet.com
Question : 29
Total: 68
If
x
=
e
y
+
e
y
+
e
y
+
.
.
.
∞
,
x
>
0
, then
d
y
d
x
is
1
+
x
x
1
x
1
−
x
x
x
1
+
x
Validate
Solution:
x
=
e
y
+
e
y
+
.
.
.
∞
⇒
x
=
e
y
+
x
.
Taking log.
log
x
=
y
+
x
⇒
1
x
=
d
y
d
x
+
1
⇒
d
y
d
x
=
1
x
−
1
=
1
−
x
x
© examsnet.com
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