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Mathematics
Mathematics
Problem
For the function
p
(
x
)
=
x
2
+
2
x
p(x)=x^2+2x
p
(
x
)
=
x
2
+
2
x
on the interval
[
−
3
,
1
]
[-3,1]
[
−
3
,
1
]
, which value of
c
c
c
in
(
−
3
,
1
)
(-3,1)
(
−
3
,
1
)
satisfies
p
′
(
c
)
p'(c)
p
′
(
c
)
equal to the average rate of change of
p
p
p
on
[
−
3
,
1
]
[-3,1]
[
−
3
,
1
]
? a)
c
=
−
2
c=-2
c
=
−
2
b)
c
=
0
c=0
c
=
0
c)
c
=
−
1
c=-1
c
=
−
1
d)
c
=
1
2
c=\dfrac12
c
=
2
1
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