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KEAM 2011 Math Paper
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© examsnet.com
Question : 46
Total: 120
If
y
=
c
o
t
−
1
(
t
a
n
x
2
)
,
then
d
y
d
x
is equal to
1
2
0
x
2
−
1
2
−
x
2
Validate
Solution:
y
=
cot
−
1
(
tan
x
2
)
y
=
cot
−
1
cot
(
π
2
−
x
2
)
y
=
π
2
−
x
2
Differentiating w.r.t.
x
on both sides,
d
y
d
x
=
−
1
2
© examsnet.com
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