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Mathematics
Problem
For
f
(
x
)
=
x
4
+
k
x
2
+
1
f(x)=x^4+kx^2+1
f
(
x
)
=
x
4
+
k
x
2
+
1
, determine the range of
k
k
k
for which
x
=
0
x=0
x
=
0
is a point of local maximum of
f
f
f
. a)
k
>
0
k>0
k
>
0
b)
k
≤
0
k\le 0
k
≤
0
c)
k
<
0
k<0
k
<
0
d)
k
=
0
k=0
k
=
0
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