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Problem
Problem
Find the values of '
a
a
a
' for which,
f
(
x
)
=
{
4
x
−
x
3
+
log
(
a
2
−
3
a
+
3
)
,
0
≤
x
<
3
x
−
18
,
x
≥
3
f(x) = \begin{cases} 4x - x^3 + \log(a^2 - 3a + 3), & 0 \le x < 3 \\ x - 18, & x \ge 3 \end{cases}
f
(
x
)
=
{
4
x
−
x
3
+
lo
g
(
a
2
−
3
a
+
3
)
,
x
−
18
,
0
≤
x
<
3
x
≥
3
has a local maxima at
x
=
3
x=3
x
=
3
.
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