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Mathematics
Problem
Let
g
(
x
)
=
−
x
3
+
3
x
g(x)=-x^{3}+3x
g
(
x
)
=
−
x
3
+
3
x
on the interval
[
−
3
,
3
]
[-3,3]
[
−
3
,
3
]
. At which value of
x
x
x
does
g
g
g
attain its absolute maximum on this interval? a)
x
=
1
x=1
x
=
1
b)
x
=
3
x=3
x
=
3
c)
x
=
−
3
x=-3
x
=
−
3
d)
x
=
−
1
x=-1
x
=
−
1
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