Puzzles
x to the power of x again
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 differentiation, or a random puzzle.
puzzles about differentiation, or a random puzzle.