Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The function
p
(
x
)
=
x
3
−
3
a
x
p(x)=x^{3}-3ax
p
(
x
)
=
x
3
−
3
a
x
depends on the real parameter
a
a
a
. Determine all real values of
a
a
a
for which
p
p
p
possesses two distinct nondegenerate local extrema.
Browse the problem library