Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The function
q
(
x
)
=
x
3
−
3
k
x
q(x)=x^{3}-3kx
q
(
x
)
=
x
3
−
3
k
x
will have a local maximum at
x
=
−
k
x=-\sqrt{k}
x
=
−
k
and a local minimum at
x
=
k
x=\sqrt{k}
x
=
k
provided that a)
k
≠
0
k\neq0
k
=
0
b)
k
≥
0
k\ge 0
k
≥
0
c)
k
>
0
k>0
k
>
0
d)
k
<
0
k<0
k
<
0
Browse the problem library