differentiation rules for x[4]n, where n is any natural number

[andydude]

This derivative is also what I used in this thread, which no one seemed to notice. Yes, Ansus' formula is correct, although usually sexp=tet, so I would not use that notation. I would use the notation
\(
\frac{\partial}{\partial x}({}^{n}x) = \frac{1}{x} \sum_{k=1}^{n} \ln(x)^{k-1} \prod_{j=0}^{k} {}^{n-j}x
\)
Andrew Robbins