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Power






Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/01.02.20.0007.02









  


  










Input Form





D[g[z]^a, {z, n}] == a Binomial[n - a, n] Sum[(((-1)^k Binomial[n, k])/(a - k)) g[z]^(a - k) D[g[z]^k, {z, n}], {k, 0, n}] /; Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29