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Mathematics
Mathematics
Problem
For the function
f
(
x
)
=
x
2
+
3
x
−
1
f(x)=x^{2}+3x-1
f
(
x
)
=
x
2
+
3
x
−
1
on the interval
[
1
,
4
]
[1,4]
[
1
,
4
]
, determine all value(s)
c
c
c
in
(
1
,
4
)
(1,4)
(
1
,
4
)
for which
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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