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Mathematics
Problem
Let
f
(
x
)
=
x
3
−
6
x
2
+
9
x
+
1
f(x)=x^{3}-6x^{2}+9x+1
f
(
x
)
=
x
3
−
6
x
2
+
9
x
+
1
. Determine all critical numbers of
f
f
f
. a)
x
=
2
x=2
x
=
2
only b)
x
=
1
x=1
x
=
1
only c)
x
=
1
and
x
=
3
x=1 \text{ and } x=3
x
=
1
and
x
=
3
d)
x
=
−
1
and
x
=
3
x=-1 \text{ and } x=3
x
=
−
1
and
x
=
3
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