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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
3
(
4
−
x
)
f(x)=x^{3}(4-x)
f
(
x
)
=
x
3
(
4
−
x
)
for
0
<
x
<
4
0<x<4
0
<
x
<
4
. At which value of
x
x
x
does
f
f
f
attain a local maximum? a)
x
=
2
x = 2
x
=
2
b)
x
=
3
x = \sqrt{3}
x
=
3
c)
x
=
3
x = 3
x
=
3
d)
x
=
4
x = 4
x
=
4
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