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Mathematics
Problem
The function
g
(
x
)
=
x
3
−
3
x
g(x)=x^{3}-3x
g
(
x
)
=
x
3
−
3
x
is defined on the closed interval
[
−
3
,
3
]
[-3,3]
[
−
3
,
3
]
. Determine the total number of relative extrema that
g
g
g
has on the open interval
(
−
3
,
3
)
(-3,3)
(
−
3
,
3
)
.
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