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Mathematics
Mathematics
Problem
Let
f
′
(
x
)
=
x
3
−
6
x
2
+
9
x
+
4
f'(x)=x^{3}-6x^{2}+9x+4
f
′
(
x
)
=
x
3
−
6
x
2
+
9
x
+
4
for all real
x
x
x
, and assume
f
f
f
is twice differentiable. Which of the following lists all
x
x
x
-values at which the graph of
f
f
f
has a point of inflection? a)
x
=
1
x=1
x
=
1
\text{ only} b)
x
=
3
x=3
x
=
3
\text{ only} c)
x
=
1
and
x
=
3
x=1 \text{ and } x=3
x
=
1
and
x
=
3
d)
x
=
0
,
1
,
3
x=0,1,3
x
=
0
,
1
,
3
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