How far the rabbit hole can a question go?

Calculus Level 5

Find the 3 0 th 30^\text{th} derivative (with respect to x x ) of the function f ( x ) = x x x f(x) = x^{x^x} at x = 1 x=1 .

Note: This problem is intended as a joke, to show how tedious a problem can go.


The answer is 594674146371682046017269031680.

Julian Poon by Julian Poon , 20, Singapore

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