4 Group 6
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Question 1.
The derivative of function
f
(
x
)
=
4
x
-
x
2
+
4
arcsin
x
2
is
a)
f
′
(
x
)
=
-
4
x
-
1
b)
f
′
(
x
)
=
4
4
x
-
1
c)
f
′
(
x
)
=
4
x
-
1
-
arccos
x
2
d)
f
′
(
x
)
=
4
x
2
-
1
e)
f
′
(
x
)
=
4
x
-
1
Question 2.
The slope of the normal to the graph of function
f
(
x
)
=
(
x
-
1
)
(
x
-
2
)
(
x
-
3
)
at point
[
3
,
?
]
is
a)
1
2
b)
1
4
c)
1
3
d)
-
1
2
e)
-
1
3
Question 3.
The function
f
(
x
)
=
x
2
2
ln
x
-
x
2
4
is increasing on the interval
a)
⟨
1
3
,
2
⟩
b)
(
1
2
,
2
)
c)
(
0
,
4
)
d)
(
1
,
e
)
e)
(
1
2
,
4
)
Evaluate