Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Determine the number of local extrema of the function
p
(
x
)
=
x
4
+
4
x
3
+
6
x
2
+
4
x
+
1
p(x)=x^{4}+4x^{3}+6x^{2}+4x+1
p
(
x
)
=
x
4
+
4
x
3
+
6
x
2
+
4
x
+
1
. a) One local maximum and one local minimum b) Exactly one local minimum c) No local extremum d) Exactly one local maximum
Browse the problem library