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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
3
−
6
x
f(x)=x^{3}-6x
f
(
x
)
=
x
3
−
6
x
on the interval
[
0
,
4
]
[0,4]
[
0
,
4
]
. Determine one value
c
c
c
in
(
0
,
4
)
(0,4)
(
0
,
4
)
such that
f
′
(
c
)
f'(c)
f
′
(
c
)
equals the average rate of change of
f
f
f
over
[
0
,
4
]
[0,4]
[
0
,
4
]
.
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