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Mathematics
Mathematics
Problem
Let
f
′
(
x
)
=
(
x
−
2
)
(
x
−
k
)
f'(x)=(x-2)(x-k)
f
′
(
x
)
=
(
x
−
2
)
(
x
−
k
)
where
k
k
k
is a real parameter. For which values of
k
k
k
is
x
=
2
x=2
x
=
2
a point of local minimum of
f
f
f
? a)
k
>
2
k>2
k
>
2
b)
k
≤
2
k\le 2
k
≤
2
c)
k
<
2
k<2
k
<
2
d)
k
=
2
k=2
k
=
2
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