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Mathematics
Mathematics
Problem
For the function
p
(
x
)
=
x
3
−
3
x
2
p(x)=x^{3}-3x^{2}
p
(
x
)
=
x
3
−
3
x
2
on the interval
[
−
1
,
3
]
[-1,3]
[
−
1
,
3
]
, find all values
c
c
c
in
(
−
1
,
3
)
(-1,3)
(
−
1
,
3
)
such that
p
′
(
c
)
p'(c)
p
′
(
c
)
equals the average rate of change of
p
p
p
over
[
−
1
,
3
]
[-1,3]
[
−
1
,
3
]
.
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