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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
x
3
−
3
x
2
+
1
f(x)=x^{3}-3x^{2}+1
f
(
x
)
=
x
3
−
3
x
2
+
1
. At which one of the following
x
x
x
-values does
f
f
f
attain a local maximum? a)
x
=
2
x=2
x
=
2
b)
x
=
1
x=1
x
=
1
c)
x
=
0
x=0
x
=
0
d)
x
=
2
x=\sqrt{2}
x
=
2
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