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Mathematics
Mathematics
Problem
If
f
′
(
x
)
f'(x)
f
′
(
x
)
changes sign from positive to negative as
x
x
x
increases through a point
c
c
c
in the interior of the domain of
f
f
f
, then
x
=
c
x=c
x
=
c
is a) a point of inflection b) not a critical point c) a local maximum d) a local minimum
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