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Mathematics
Mathematics
Problem
For
f
k
(
x
)
=
x
6
+
k
x
4
f_k(x)=x^{6}+k x^{4}
f
k
(
x
)
=
x
6
+
k
x
4
, where
k
k
k
is a real parameter, classify the point
x
=
0
x=0
x
=
0
as a local maximum, local minimum, or neither in terms of
k
k
k
.
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