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Mathematics
Mathematics
Problem
Let
f
f
f
be a twice–differentiable function whose first derivative is
f
′
(
x
)
=
x
3
−
6
x
f'(x)=x^{3}-6x
f
′
(
x
)
=
x
3
−
6
x
. At which
x
x
x
–value(s) does the graph of
f
f
f
have a point of inflection? a)
x
=
±
2
x=\pm 2
x
=
±
2
b)
x
=
±
2
x=\pm\sqrt{2}
x
=
±
2
c)
x
=
0
x=0
x
=
0
only d)
x
=
0
,
±
6
x=0,\,\pm\sqrt{6}
x
=
0
,
±
6
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