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Mathematics
Mathematics
Problem
If
f
′
(
x
)
<
0
f'(x)<0
f
′
(
x
)
<
0
for every
x
x
x
in the interval
(
1
,
4
)
(1,4)
(
1
,
4
)
, then on
(
1
,
4
)
(1,4)
(
1
,
4
)
the function
f
f
f
is a)
f
f
f
is constant on
(
1
,
4
)
(1,4)
(
1
,
4
)
b)
f
f
f
has a local maximum in
(
1
,
4
)
(1,4)
(
1
,
4
)
c)
f
f
f
is decreasing on
(
1
,
4
)
(1,4)
(
1
,
4
)
d)
f
f
f
is increasing on
(
1
,
4
)
(1,4)
(
1
,
4
)
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