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Mathematics
Mathematics
Problem
Consider
f
′
(
x
)
=
x
4
−
4
x
2
f'(x)=x^{4}-4x^{2}
f
′
(
x
)
=
x
4
−
4
x
2
defined for all real
x
x
x
. For which of the following sets of
x
x
x
-values is every listed point an inflection point of
f
f
f
and no other inflection points exist? a)
{
−
2
,
0
,
2
}
\{-2,0,2\}
{
−
2
,
0
,
2
}
b)
{
−
2
,
2
}
\{-\sqrt{2},\sqrt{2}\}
{
−
2
,
2
}
c)
{
−
2
,
0
,
2
}
\{-\sqrt{2},0,\sqrt{2}\}
{
−
2
,
0
,
2
}
d)
{
−
2
,
2
}
\{-2,2\}
{
−
2
,
2
}
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