4 Group 8
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Question 1.
The derivative of function
f
(
x
)
=
arccos
1
x
is
a)
f
′
(
x
)
=
1
x
x
2
-
1
b)
f
′
(
x
)
=
1
|
x
|
x
2
-
1
c)
f
′
(
x
)
=
1
2
x
2
-
1
d)
f
′
(
x
)
=
|
x
|
x
2
-
1
e)
f
′
(
x
)
=
2
|
x
|
x
2
-
1
Question 2.
The graph of function
f
(
x
)
=
sin
x
intersects the axis
x
at the angle
a)
π
3
b)
5
π
9
c)
π
2
d)
3
π
8
e)
π
4
Question 3.
The function
f
(
x
)
=
3
x
5
-
40
x
3
+
x
-
2
has its points of inflection at the points
a)
x
1
=
-
2
,
x
2
=
0
,
x
3
=
2
b)
x
1
=
-
3
2
,
x
2
=
3
2
c)
x
1
=
1
,
x
2
=
3
d)
x
1
=
-
1
,
x
2
=
1
e)
x
1
=
1
,
x
2
=
3
Evaluate