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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
x
3
−
3
x
f(x)=x^{3}-3x
f
(
x
)
=
x
3
−
3
x
on the interval
[
−
2
,
2
]
[-2,2]
[
−
2
,
2
]
. Find all values of
c
c
c
in
[
−
2
,
2
]
[-2,2]
[
−
2
,
2
]
for which
f
(
c
)
f(c)
f
(
c
)
equals the average value of
f
f
f
on that interval.
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