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Mathematics
Problem
A differentiable function
q
q
q
satisfies the following conditions: •
q
′
(
x
)
<
0
q'(x)<0
q
′
(
x
)
<
0
for
−
6
<
x
<
−
2
-6<x<-2
−
6
<
x
<
−
2
and
1
<
x
<
4
1<x<4
1
<
x
<
4
, •
q
′
(
x
)
=
0
q'(x)=0
q
′
(
x
)
=
0
at
x
=
−
2
x=-2
x
=
−
2
and
x
=
1
x=1
x
=
1
, •
q
′
(
x
)
>
0
q'(x)>0
q
′
(
x
)
>
0
elsewhere. Determine all open intervals on which
q
q
q
is increasing.
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