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Mathematics
Mathematics
Problem
Consider
g
(
x
)
=
x
2
+
k
x
+
1
+
1
x
g(x)=x^{2}+kx+1+\dfrac{1}{x}
g
(
x
)
=
x
2
+
k
x
+
1
+
x
1
, defined for
x
>
0
x>0
x
>
0
. For which value of
k
k
k
does
g
g
g
attain a relative
minimum
at
x
=
1
x=1
x
=
1
? a)
k
=
−
2
k=-2
k
=
−
2
b)
k
=
−
1
k=-1
k
=
−
1
c)
k
=
−
3
k=-3
k
=
−
3
d)
k
=
0
k=0
k
=
0
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