# Thread: beyond simple fractional derivatives

1. ## beyond simple fractional derivatives

I was able to deduce using highschool knowledge a formula for the n'th derivative of basic continuous functions.
for instance:
D^n[x^p]=p!*x^(p-n) /(p-n)!
D^n[a^x]=(ln(a)^n)*a^x
D^n[sin(x)]=sin(x+n*Pi/2)

also the product rule can be extended to nth derivatives

product rule:
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?

2. No Ideas?? Is this in the wrong section?