4 Group 4
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Question 1.
The derivative of function
f
(
x
)
=
cos
2
x
3
is
a)
f
′
(
x
)
=
-
3
x
2
cos
2
x
3
b)
f
′
(
x
)
=
-
3
x
2
sin
x
3
cos
x
3
c)
f
′
(
x
)
=
3
x
2
sin
2
x
3
d)
f
′
(
x
)
=
-
3
x
2
sin
x
3
e)
f
′
(
x
)
=
-
3
x
2
sin
2
x
3
Question 2.
The slope of the tangent line to the graph of function
f
(
x
)
=
x
2
at point
[
3
,
?
]
is equal to
a)
0
b)
-
5
c)
6
d)
5
e)
-
6
Question 3.
The polynomial function
f
(
x
)
=
x
3
-
6
x
2
+
3
expressed in terms of powers of
x
+
2
is
a)
g
(
x
)
=
-
29
+
36
(
x
+
2
)
+
(
x
+
2
)
3
b)
g
(
x
)
=
-
29
+
36
(
x
+
2
)
-
12
(
x
+
2
)
2
+
(
x
+
2
)
3
c)
g
(
x
)
=
-
12
(
x
+
2
)
2
+
(
x
+
2
)
3
d)
g
(
x
)
=
-
29
+
(
x
+
2
)
3
e)
g
(
x
)
=
36
(
x
+
2
)
+
(
x
+
2
)
3
Evaluate