MathDB
Problems
Contests
Undergraduate contests
Putnam
2010 Putnam
B5
Putnam 2010 B5
Putnam 2010 B5
Source:
December 6, 2010
Putnam
function
limit
integration
induction
inequalities
logarithms
Problem Statement
Is there a strictly increasing function
f
:
R
→
R
f:\mathbb{R}\to\mathbb{R}
f
:
R
→
R
such that
f
′
(
x
)
=
f
(
f
(
x
)
)
f'(x)=f(f(x))
f
′
(
x
)
=
f
(
f
(
x
))
for all
x
?
x?
x
?
Back to Problems
View on AoPS