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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
3
−
3
a
x
2
+
9
x
f(x)=x^{3}-3ax^{2}+9x
f
(
x
)
=
x
3
−
3
a
x
2
+
9
x
, where
a
a
a
is a real constant. Find all real values of
a
a
a
such that
f
f
f
is increasing on the interval
[
1
,
∞
)
[1,\infty)
[
1
,
∞
)
.
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