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Mathematics
Problem
The derivative
f
′
(
x
)
f'(x)
f
′
(
x
)
has a local maximum at
x
=
2
x=2
x
=
2
; it is increasing for
x
<
2
x<2
x
<
2
and decreasing for
x
>
2
x>2
x
>
2
. Describe what happens to the concavity of the original function
f
f
f
at
x
=
2
x=2
x
=
2
.
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