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UPSC NDA Math Model Paper 7
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© examsnet.com
Question : 2 of 120
Marks:
+1
,
-0
Evaluate
d
d
x
(
cot
−
1
1
x
)
x
2
1
+
x
2
−
1
1
+
x
2
1
1
+
x
2
None of these
Validate
Solution:
d
d
x
(
cot
−
1
1
x
)
=
d
cot
−
1
1
x
d
(
1
x
)
×
d
(
1
x
)
d
x
=
−
1
1
+
(
1
x
)
2
×
d
d
x
(
1
x
)
=
−
1
1
+
(
1
x
)
2
×
(
−
1
x
2
)
=
1
x
2
+
1
x
2
×
(
1
x
2
)
=
x
2
1
+
x
2
×
1
x
2
=
1
1
+
x
2
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