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does anyone know a general formula for

[tex]\frac{d^n}{dx^n}f(x)^n[/tex]

I couldn't find in any tables I had and I have trouble figuring out the pattern.

in Mathematica gives first four terms:Code (Text):Array[D[f[x]^#, {x, #}] &, {4}]

[tex]f'(x)[/tex]

[tex]2f(x)f^{(2)}(x)+2f^{(1)}(x)^2[/tex]

[tex]18f(x)f^{(1)}(x)f^{(2)}(x)+3f(x)^2f^{(3)}(x)+6 f^{(1)}(x)^3[/tex]

[tex]144f(x)f^{(1)}(x)^2 f^{(2)}(x)+36f(x)^2f^{(2)}(x)^2+48f(x)^2f^{(1)}(x)f^{(3)}(x)+4f(x)^3f^{(4)}(x)+24f^{(1)}(x)^4[/tex]

Thanks for any help.

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# N'th derivative of f(x)^n

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