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Mathematics
Mathematics
Problem
The derivative of a function
h
h
h
is undefined at
x
=
5
x=5
x
=
5
. For
x
<
5
x<5
x
<
5
,
h
′
(
x
)
>
0
h'(x)>0
h
′
(
x
)
>
0
, and for
x
>
5
x>5
x
>
5
,
h
′
(
x
)
<
0
h'(x)<0
h
′
(
x
)
<
0
. Identify (i) the open interval(s) on which
h
h
h
is decreasing and (ii) whether
x
=
5
x=5
x
=
5
is a critical number of
h
h
h
.
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