4 Group 2
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Question 1.
The derivative of function
f
(
x
)
=
2
sin
x
+
3
cos
x
is
a)
f
′
(
x
)
=
2
cos
x
+
3
sin
x
b)
f
′
(
x
)
=
-
2
cos
x
-
3
sin
x
c)
f
′
(
x
)
=
2
cos
x
-
3
sin
x
d)
f
′
(
x
)
=
3
cos
x
-
2
sin
x
e)
f
′
(
x
)
=
-
2
cos
x
+
3
sin
x
Question 2.
The graphs of functions
f
(
x
)
=
x
2
and
g
(
x
)
=
x
for
x
>
1
2
intersect at an angle the tangent of which is equal to
a)
4
3
b)
3
4
c)
5
4
d)
2
3
e)
4
5
Question 3.
The function
f
(
x
)
=
1
2
x
-
sin
x
is increasing on the interval
a)
⟨
5
π
3
,
2
π
⟩
b)
⟨
-
π
,
π
⟩
c)
(
π
3
,
5
π
3
)
d)
⟨
0
,
2
π
⟩
e)
⟨
0
,
1
⟩
Evaluate