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Question
Mathematics
If y= cot -1( tan (x/2) ), then (dy/dx) is equal to
Q. If
y
=
cot
−
1
(
tan
2
x
)
,
then
d
x
d
y
is equal to
2165
122
KEAM
KEAM 2011
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A
2
1
B
0
C
2
x
D
−
2
1
E
−
2
x
Solution:
y
=
cot
−
1
(
tan
2
x
)
y
=
cot
−
1
cot
(
2
π
−
2
x
)
y
=
2
π
−
2
x
Differentiating w.r.t.
x
on both sides,
d
x
d
y
=
−
2
1