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Derivative of ln(ln x) at x = e

EasyCalculus~3m

Let f(x)=ln⁡(ln⁡x)f(x)=\ln(\ln x). Compute f′(e)f'(e), the value of the derivative at x=ex=e. (to 3 decimals)

Show hints (2)+
  1. Chain rule on $\ln(\ln x)$.
  2. At $x=e$, $\ln e = 1$.

Answer

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0.368 (± 0.005)

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Asked at: Citadel, Two Sigma

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