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Mathematics
Problem
Let
f
a
(
x
)
=
x
3
+
a
x
f_a(x)=x^{3}+a x
f
a
(
x
)
=
x
3
+
a
x
, where
a
∈
R
a\in\boldsymbol{\text{R}}
a
∈
R
. Find all real values of
a
a
a
for which
f
a
f_a
f
a
has no local maximum or minimum on
R
\boldsymbol{\text{R}}
R
.
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