Compute the derivative of f(x)=(xx)(xx)f(x) = \left( x^x \right)^{\left( x^x \right)} at x=1x = 1. \\ Reminder. ddx(xx)=xx⋅(1+ln⁡x)\frac {\mathrm{d}}{\mathrm{d}x} \left( x^x \right) = x^x \cdot \left( 1 + \ln x \right)

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