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Mathematics
Problem
The derivative
h
′
(
x
)
h'(x)
h
′
(
x
)
is zero at
x
=
−
2
,
1
,
and
4
x=-2,\,1,\text{ and }4
x
=
−
2
,
1
,
and
4
. It is positive for
x
<
−
2
x<-2
x
<
−
2
, negative for
−
2
<
x
<
1
-2<x<1
−
2
<
x
<
1
, positive for
1
<
x
<
4
1<x<4
1
<
x
<
4
, and negative for
x
>
4
x>4
x
>
4
. On which interval is the original function
h
h
h
increasing? a)
(
−
2
,
4
)
(-2,4)
(
−
2
,
4
)
b)
(
4
,
∞
)
(4,\infty)
(
4
,
∞
)
c)
(
1
,
4
)
(1,4)
(
1
,
4
)
d)
(
−
2
,
1
)
(-2,1)
(
−
2
,
1
)
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