Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
q
q
q
be continuous on
[
0
,
6
]
[0,6]
[
0
,
6
]
and differentiable on
(
0
,
6
)
(0,6)
(
0
,
6
)
with
q
(
0
)
=
q
(
3
)
=
q
(
6
)
=
7
q(0)=q(3)=q(6)=7
q
(
0
)
=
q
(
3
)
=
q
(
6
)
=
7
. What is the least possible number of distinct points
c
c
c
in
(
0
,
6
)
(0,6)
(
0
,
6
)
for which
q
′
(
c
)
=
0
q'(c)=0
q
′
(
c
)
=
0
?
Browse the problem library