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6
2004 Calculus #6
2004 Calculus #6
Source:
November 29, 2011
calculus
logarithms
Problem Statement
For
x
>
0
x>0
x
>
0
, let
f
(
x
)
=
x
x
f(x)=x^x
f
(
x
)
=
x
x
. Find all values of
x
x
x
for which
f
(
x
)
=
f
′
(
x
)
f(x)=f'(x)
f
(
x
)
=
f
′
(
x
)
.
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