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Mathematics
Problem
If
f
′
(
2
)
=
0
f'(2)=0
f
′
(
2
)
=
0
and
f
′
(
x
)
f'(x)
f
′
(
x
)
is negative for
x
<
2
x<2
x
<
2
but positive for
x
>
2
x>2
x
>
2
, what kind of extremum does
f
f
f
attain at
x
=
2
x=2
x
=
2
? State your answer and give a brief reason.
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