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Root






Mathematica Notation

Traditional Notation









Elementary Functions > Root[polynomialInzk] > Differentiation > Low-order differentiation > With respect to ak





http://functions.wolfram.com/01.33.20.0001.01









  


  










Input Form





D[Root[Function[z, Sum[Subscript[a, j] z^j, {j, 0, n}]], k], Subscript[a, k]] == -(R^k/(k Subscript[a, k] R^(k - 1) + Sum[(1 - KroneckerDelta[k, j]) j Subscript[a, j] R^(j - 1), {j, 1, n}])) /; R == Root[Function[z, Sum[Subscript[a, j] z^j, {j, 0, n}]], k]










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





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