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Mathematics
Problem
Consider
f
(
x
)
=
x
3
−
3
p
x
+
2
f(x)=x^{3}-3px+2
f
(
x
)
=
x
3
−
3
p
x
+
2
, where
p
p
p
is real. Find the set of all real values of
p
p
p
for which the function has both a local maximum and a local minimum.
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