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Mathematics
Mathematics
Problem
For the function
y
=
(
sin
x
)
tan
x
y=(\sin x)^{\tan x}
y
=
(
sin
x
)
t
a
n
x
, defined for
x
∈
(
0
,
π
2
)
x\in\bigl(0,\tfrac{\pi}{2}\bigr)
x
∈
(
0
,
2
π
)
, evaluate
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at
x
=
π
6
x=\dfrac{\pi}{6}
x
=
6
π
.
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