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Mathematics
Mathematics
Problem
The function
f
(
x
)
=
x
3
−
3
k
x
f(x)=x^{3}-3kx
f
(
x
)
=
x
3
−
3
k
x
(
k
∈
R
k\in\mathbb{R}
k
∈
R
) is required to have exactly one critical point. The value of
k
k
k
must be a)
k
>
0
k>0
k
>
0
b)
k
=
0
k=0
k
=
0
c)
k
<
0
k<0
k
<
0
d)
k
≠
0
k\neq 0
k
=
0
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