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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
4
−
4
m
x
2
+
7
f(x)=x^{4}-4m x^{2}+7
f
(
x
)
=
x
4
−
4
m
x
2
+
7
, where
m
m
m
is a positive integer. Determine the smallest value of
m
m
m
for which
f
f
f
is strictly decreasing on the interval
(
0
,
1
)
(0,1)
(
0
,
1
)
.
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