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Mathematics
Mathematics
Problem
Let
p
(
x
)
=
x
4
−
4
x
3
−
12
x
2
+
48
x
p(x)=x^{4}-4x^{3}-12x^{2}+48x
p
(
x
)
=
x
4
−
4
x
3
−
12
x
2
+
48
x
for all real
x
x
x
. Determine every open interval on which
p
p
p
is increasing and concave down simultaneously.
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