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Mathematics
Mathematics
Problem
For the function
f
(
x
)
=
p
x
3
+
q
x
2
+
1
f(x)=p x^{3}+q x^{2}+1
f
(
x
)
=
p
x
3
+
q
x
2
+
1
, find all real pairs
(
p
,
q
)
(p,q)
(
p
,
q
)
for which
f
f
f
is monotonically increasing on
R
\mathbb{R}
R
.
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