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Mathematics
Problem
A differentiable function
f
f
f
satisfies
∣
f
′
(
x
)
∣
≤
3
|f'(x)|\le 3
∣
f
′
(
x
)
∣
≤
3
for all
x
x
x
with
0
≤
x
≤
2
0\le x\le 2
0
≤
x
≤
2
. If
f
(
0
)
=
5
f(0)=5
f
(
0
)
=
5
, determine the greatest possible value of
f
(
2
)
f(2)
f
(
2
)
.
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