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Putnam
2010 Putnam
B5
B5
Part of
2010 Putnam
Problems
(1)
Putnam 2010 B5
Source:
12/6/2010
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
?
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