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Mathematics
Mathematics
Problem
If
y
=
sin
(
tan
−
1
2
x
)
y = \sin(\tan^{-1} 2x)
y
=
sin
(
tan
−
1
2
x
)
, prove that
d
y
d
x
=
2
(
1
+
4
x
2
)
3
/
2
\frac{dy}{dx} = \frac{2}{(1+4x^2)^{3/2}}
d
x
d
y
=
(
1
+
4
x
2
)
3/2
2
.
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