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Mathematics
Problem
Let
f
(
x
)
=
x
2
+
3
x
f(x)=x^{2}+3x
f
(
x
)
=
x
2
+
3
x
on the interval
[
1
,
3
]
[1,3]
[
1
,
3
]
. Find the value of
c
∈
(
1
,
3
)
c\in(1,3)
c
∈
(
1
,
3
)
that satisfies
f
′
(
c
)
=
f
(
3
)
−
f
(
1
)
3
−
1
f'(c)=\dfrac{f(3)-f(1)}{3-1}
f
′
(
c
)
=
3
−
1
f
(
3
)
−
f
(
1
)
. a)
1.5
1.5
1.5
b)
7
3
\dfrac{7}{3}
3
7
c)
2
2
2
d)
3
3
3
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