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Mathematics
Mathematics
Problem
The derivative
g
′
(
x
)
g'(x)
g
′
(
x
)
satisfies the following: •
g
′
(
x
)
>
0
g'(x)>0
g
′
(
x
)
>
0
for
x
<
−
4
x<-4
x
<
−
4
•
g
′
(
x
)
=
0
g'(x)=0
g
′
(
x
)
=
0
at
x
=
−
4
x=-4
x
=
−
4
•
g
′
(
x
)
<
0
g'(x)<0
g
′
(
x
)
<
0
for
−
4
<
x
<
2
-4<x<2
−
4
<
x
<
2
•
g
′
(
x
)
=
0
g'(x)=0
g
′
(
x
)
=
0
at
x
=
2
x=2
x
=
2
•
g
′
(
x
)
>
0
g'(x)>0
g
′
(
x
)
>
0
for
x
>
2
x>2
x
>
2
Based only on this information, determine the
x
x
x
-coordinate(s) where
g
g
g
attains a relative maximum.
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