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Mathematics
Mathematics
Problem
For the function
g
(
x
)
=
−
x
4
+
4
k
x
2
g(x)=-x^{4}+4 k x^{2}
g
(
x
)
=
−
x
4
+
4
k
x
2
, the local maximum value is required to be
8
8
8
. Find the corresponding positive value of
k
k
k
.
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