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Mathematics
Problem
A function
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
satisfies
x
f
′
(
x
)
−
2
f
(
x
)
=
x
4
f
2
(
x
)
xf'(x) - 2f(x) = x^4 f^2(x)
x
f
′
(
x
)
−
2
f
(
x
)
=
x
4
f
2
(
x
)
,
∀
x
>
0
\forall x > 0
∀
x
>
0
and
f
(
1
)
=
−
6
f(1) = -6
f
(
1
)
=
−
6
. Find the value of
f
′
(
3
1
5
)
f'(3^{\frac{1}{5}})
f
′
(
3
5
1
)
.
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