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Mathematics
Problem
Let
f
(
x
)
=
x
3
−
3
x
2
+
1
f(x)=x^{3}-3x^{2}+1
f
(
x
)
=
x
3
−
3
x
2
+
1
. On which of the following intervals is
f
f
f
increasing? a)
(
−
∞
,
0
)
and
(
0
,
2
)
(-\infty,0)\text{ and }(0,2)
(
−
∞
,
0
)
and
(
0
,
2
)
b)
(
0
,
2
)
(0,2)
(
0
,
2
)
c)
(
−
∞
,
0
)
and
(
2
,
∞
)
(-\infty,0)\text{ and }(2,\infty)
(
−
∞
,
0
)
and
(
2
,
∞
)
d)
(
1
,
∞
)
(1,\infty)
(
1
,
∞
)
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