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Mathematics
Mathematics
Problem
For the function
p
(
x
)
=
x
3
−
3
x
2
+
2
p(x)=x^{3}-3x^{2}+2
p
(
x
)
=
x
3
−
3
x
2
+
2
defined on the interval
[
1
,
4
]
[1,4]
[
1
,
4
]
, find the value of
c
c
c
in
(
1
,
4
)
(1,4)
(
1
,
4
)
at which the instantaneous rate of change equals the average rate of change over
[
1
,
4
]
[1,4]
[
1
,
4
]
.
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