# Puzzles

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#### Sunday Afternoon Maths LXVI

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#### Sunday Afternoon Maths LXIV

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#### Sunday Afternoon Maths LXIII

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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 V,

puzzles about algebra, or a random puzzle.

puzzles about algebra, or a random puzzle.