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Mathematics
Mathematics
Problem
Consider
f
(
x
)
=
x
4
−
2
k
x
2
f(x)=x^{4}-2k x^{2}
f
(
x
)
=
x
4
−
2
k
x
2
, where
k
k
k
is a real parameter. For which values of
k
k
k
does
x
=
0
x=0
x
=
0
correspond to a local maximum of
f
f
f
? a)
k
<
0
k<0
k
<
0
b)
k
>
0
k>0
k
>
0
c)
k
=
0
k=0
k
=
0
d)
k
≥
0
k\ge 0
k
≥
0
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