Derivative of (ln x)^ln x

Calculus Level 2

Evaluate the derivative of

f(x)=(ln⁡x)ln⁡xf(x)=(\ln x)^{\ln x}

at x=e, x = e, where ln⁡x\ln x denotes the logarithm of base ee (Euler constant).

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Leonardo de Araujo by Leonardo de Araujo
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