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2010 Putnam
A2
A2
Part of
2010 Putnam
Problems
(1)
Putnam 2010 A2
Source:
12/6/2010
Find all differentiable functions
f
:
R
→
R
f:\mathbb{R}\to\mathbb{R}
f
:
R
→
R
such that
f
′
(
x
)
=
f
(
x
+
n
)
−
f
(
x
)
n
f'(x)=\frac{f(x+n)-f(x)}n
f
′
(
x
)
=
n
f
(
x
+
n
)
−
f
(
x
)
for all real numbers
x
x
x
and all positive integers
n
.
n.
n
.
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