beyond simple fractional derivatives
I was able to deduce using highschool knowledge a formula for the n'th derivative of basic continuous functions.
also the product rule can be extended to nth derivatives
D^n(f*g)=sum from i=0 to i=n of nCi*D^(n-i)(f)*D^i(g)
Can the reciprocal (and quotient rule using both product and reciprocal rules) and the chain rule be similarly extended for n'th derivatives?