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Derivative of (ln x)^ln x

Calculus Level 2

Evaluate the derivative of \[f(x)=(\ln x)^{\ln x} \] at \[ x = e, \] where "ln x" denotes the logarithm of base "e" (Euler constant).

\[ 1 \] \[ \frac{1}{e} \] \[ 0 \] \[ e \]

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by Leonardo de Araujo

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