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Mathematics
Mathematics
Problem
For the function
f
(
x
)
=
x
2
+
3
x
f(x)=x^{2}+3x
f
(
x
)
=
x
2
+
3
x
on the interval
[
1
,
4
]
[1,4]
[
1
,
4
]
, find the value of
c
∈
(
1
,
4
)
c\in(1,4)
c
∈
(
1
,
4
)
such that
f
′
(
c
)
f'(c)
f
′
(
c
)
equals the average rate of change of
f
f
f
over
[
1
,
4
]
[1,4]
[
1
,
4
]
.
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