- #1
y2klimen
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Homework Statement
If f(x)=x^x for x>0, find the constant a such that f'(a)=2f(a)
Homework Equations
The Attempt at a Solution
f'(a)=a*a^(a-1)
=a^a
2f(a)=2a^a
2a^a=a^a
ln2a^a=lna^a
aln2a=alna
...?