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Permanent link to this puzzle: mscroggs.co.uk/puzzles/13

Let \(y=x^{x^{x^{x^{...}}}}\) [\(x\) to the power of (\(x\) to the power of (\(x\) to the power of (\(x\) to the power of ...))) with an infinite number of \(x\)s]. What is \(\frac{dy}{dx}\)?

If you enjoyed this puzzle, check out Sunday Afternoon Maths LIX,

puzzles about rugby, or a random puzzle.

puzzles about rugby, or a random puzzle.