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Mathematics
Problem
For
h
(
x
)
=
x
x
2
+
1
h(x)=\dfrac{x}{x^{2}+1}
h
(
x
)
=
x
2
+
1
x
, which of the following gives the coordinates of a relative maximum of
h
h
h
? a)
(
−
1
,
−
1
2
)
(-1,-\tfrac12)
(
−
1
,
−
2
1
)
b)
(
3
,
3
4
)
(\sqrt{3},\tfrac{\sqrt{3}}{4})
(
3
,
4
3
)
c)
(
1
,
1
2
)
(1,\tfrac12)
(
1
,
2
1
)
d)
(
0
,
0
)
(0,0)
(
0
,
0
)
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