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If
2
y
=
(
cot
−
1
(
3
cos
x
+
sin
x
cos
x
−
3
sin
x
)
)
2
2y = \left( \cot^{-1} \left( \frac{\sqrt{3} \cos x + \sin x}{\cos x - \sqrt{3} \sin x} \right) \right)^2
2
y
=
(
cot
−
1
(
c
o
s
x
−
3
s
i
n
x
3
c
o
s
x
+
s
i
n
x
)
)
2
…
Mathematics
Problem
If
2
y
=
(
cot
−
1
(
3
cos
x
+
sin
x
cos
x
−
3
sin
x
)
)
2
2y = \left( \cot^{-1} \left( \frac{\sqrt{3} \cos x + \sin x}{\cos x - \sqrt{3} \sin x} \right) \right)^2
2
y
=
(
cot
−
1
(
c
o
s
x
−
3
s
i
n
x
3
c
o
s
x
+
s
i
n
x
)
)
2
,
x
∈
(
0
,
π
2
)
x \in \left( 0, \frac{\pi}{2} \right)
x
∈
(
0
,
2
π
)
, then
d
y
d
x
\frac{dy}{dx}
d
x
d
y
is equal to :
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