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Mathematics
Mathematics
Problem
Let
f
′
(
x
)
=
x
3
−
3
x
2
+
2
f'(x)=x^{3}-3x^{2}+2
f
′
(
x
)
=
x
3
−
3
x
2
+
2
for all real
x
x
x
. Determine the
x
x
x
-coordinate(s) at which the graph of
f
f
f
is most likely to have a point of inflection. a)
x
=
0
and
x
=
2
x=0 \text{ and } x=2
x
=
0
and
x
=
2
b)
x
=
0
x=0
x
=
0
only c)
x
=
1
x=1
x
=
1
only d) The graph of
f
f
f
has no points of inflection
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