imo class 12 continuity and differentiability

If f(x) = logₑ(logₑ x), then f′(e) is:

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If f(x) = logₑ(logₑ x), then f′(e) is:

  • A. 1/e
  • B. e
  • C. 1
  • D. 0

Answer: A) 1/e

Explanation: f′(x) = 1/(x log x). At x=e, log e=1, so f′(e)=1/e.

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