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Mathematics
Problem
A differentiable function
f
f
f
satisfies
f
′
(
2
)
=
0
f'(2)=0
f
′
(
2
)
=
0
,
f
′
′
(
2
)
<
0
f''(2)<0
f
′′
(
2
)
<
0
, and
f
′
f'
f
′
changes sign from positive to negative at
x
=
2
x=2
x
=
2
. Explain what this information implies about the behavior of
f
f
f
at
x
=
2
x=2
x
=
2
.
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