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Mathematics
Mathematics
Problem
A company’s profit in thousands of dollars
P
(
t
)
P(t)
P
(
t
)
, where
t
t
t
is the number of months after a product launch, satisfies
P
′
(
t
)
=
t
2
−
4
t
P'(t)=t^{2}-4t
P
′
(
t
)
=
t
2
−
4
t
for
0
≤
t
≤
6
0\le t\le6
0
≤
t
≤
6
. Determine the interval(s) on
0
≤
t
≤
6
0\le t\le6
0
≤
t
≤
6
during which the profit is increasing.
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