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Math Help - beyond simple fractional derivatives

  1. #1
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    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?
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  2. #2
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    No Ideas?? Is this in the wrong section?
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