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Mathematics
Mathematics
Problem
The function
f
(
x
)
=
x
3
−
3
k
x
2
f(x)=x^{3}-3kx^{2}
f
(
x
)
=
x
3
−
3
k
x
2
depends on the real parameter
k
k
k
. Determine the value of
k
k
k
for which
f
f
f
has a relative
minimum
at
x
=
2
x=2
x
=
2
. a)
k
=
4
k=4
k
=
4
b)
k
=
1
k=1
k
=
1
c)
k
=
1
2
k=\dfrac12
k
=
2
1
d)
k
=
2
k=2
k
=
2
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