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Mathematics
Problem
Let
f
(
x
)
=
x
2
/
3
(
2
−
x
)
f(x)=x^{2/3}(2-x)
f
(
x
)
=
x
2/3
(
2
−
x
)
, defined for all real
x
x
x
. (i) Find all critical points of
f
f
f
. (ii) Classify each critical point.
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