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Mathematics
Problem
For the function
f
(
x
)
=
x
2
+
1
f(x)=x^{2}+1
f
(
x
)
=
x
2
+
1
, answer the following: a. (i) Find the average rate of change of
f
f
f
from
x
=
1
x=1
x
=
1
to
x
=
3
x=3
x
=
3
. b. (ii) Find
f
′
(
2
)
f'(2)
f
′
(
2
)
. State which of the two results obtained in (i) and (ii) is greater.
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