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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
e
0.5
x
f(x)=e^{0.5x}
f
(
x
)
=
e
0.5
x
. Using the average rate of change of
f
f
f
on the interval
[
2
,
2.01
]
[2,2.01]
[
2
,
2.01
]
, which of the following is the best numerical estimate for the instantaneous rate of change of
f
f
f
at
x
=
2
x=2
x
=
2
? a)
1.39
1.39
1.39
b)
2.72
2.72
2.72
c)
1.36
1.36
1.36
d)
1.27
1.27
1.27
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