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Mathematics
Mathematics
Problem
For the function
f
(
x
)
=
x
3
−
3
x
f(x)=x^{3}-3x
f
(
x
)
=
x
3
−
3
x
defined on the interval
[
−
3
,
3
]
[-\sqrt{3},\sqrt{3}]
[
−
3
,
3
]
, determine all values of
c
c
c
in
(
−
3
,
3
)
(-\sqrt{3},\sqrt{3})
(
−
3
,
3
)
such that
f
′
(
c
)
=
0
f'(c)=0
f
′
(
c
)
=
0
.
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