4 Group 1
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Question 1.
The derivative of function
f
(
x
)
=
ln
a
2
+
x
2
a
2
-
x
2
is
a)
f
′
(
x
)
=
4
a
2
x
2
a
4
-
x
4
b)
f
′
(
x
)
=
a
2
x
a
4
-
x
4
c)
f
′
(
x
)
=
4
x
a
4
-
x
4
d)
f
′
(
x
)
=
4
a
2
x
a
4
-
x
4
e)
f
′
(
x
)
=
4
a
2
x
a
2
-
x
2
Question 2.
The graphs of functions
f
(
x
)
=
(
x
-
2
)
2
and
g
(
x
)
=
4
x
-
x
2
+
4
intersect at an angle the tangent of which is equal to
a)
8
15
b)
7
16
c)
2
3
d)
3
7
e)
3
5
Question 3.
The function
f
(
x
)
=
3
x
5
-
40
x
3
+
x
-
2
is convex on the interval
a)
(
0
,
2
)
b)
(
-
2
,
0
)
c)
(
-
2
,
4
)
d)
(
-
2
,
2
)
e)
(
-
6
,
-
2
)
Evaluate