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    Calc Midterm, First Year University (derivative related stuff)

    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 ...?
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