Answer :

Explanation:
First, find the derivative.
f
'
(
x
)
=
3
x
2
+
6
x
+
1
A horizontal tangent will have a slope of
0
. The derivative represents the instantaneous rate of change of a function. Set the derivative to
0
and solve for
x
.
0
=
3
x
2
+
6
x
+
1
x
=

6
±

6
2

4

3

1
2

3
x
=

6
±

24
6
x
=

6
±
2

6
6
x
=

1
±
1
3

6
x
=

3
±

6
Hopefully this helps!

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