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Mathematics
Mathematics
Problem
Determine the
x
x
x
–coordinate(s) at which the graph of
f
(
x
)
=
3
x
x
2
+
1
f(x)=\dfrac{3x}{x^{2}+1}
f
(
x
)
=
x
2
+
1
3
x
has a horizontal tangent. a)
x
=
1
x=1
x
=
1
\ only b)
x
=
−
1
and
x
=
1
x=-1\text{ and }x=1
x
=
−
1
and
x
=
1
c) The\ graph\ has\ no\ horizontal\ tangents d)
x
=
0
x=0
x
=
0
\ only
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