y
−
11
=
−
14
(
x
+
2
)
Step-by-step explanation:
f
(
x
)
=
3
x
2
−
2
x
−
5
f
'
(
x
)
=
6
x
−
2
f
(
−
2
)
=
11
f
'
(
−
2
)
=
−
14
Thus, the tangent line will intersect
f
at
(
−
2
,
11
)
and will have a slope of
−
14
.
Write the equation in point slope form:
y
−
11
=
−
14
(
x
+
2
)