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Mathematics
Problem
Determine all real values of
k
k
k
for which the function
f
(
x
)
=
x
4
+
2
k
x
2
+
1
f(x)=x^{4}+2 k x^{2}+1
f
(
x
)
=
x
4
+
2
k
x
2
+
1
possesses exactly one local minimum and no local maximum.
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