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jdh30/Derivative

Last active February 25, 2017 10:49
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Rewrite rules for simple differentiation in Mathematica syntax
Raw
Derivative
D[_, _] := 0
D[x_, x_] := 1
D[f_ + g_, x_] := D[f, x] + D[g, x]
D[f_ - g_, x_] := D[f, x] - D[g, x]
D[f_ g_, x_] := f D[g, x] + g D[f, x]
D[f_ / g_, x_] := f D[1/g, x] + 1/g D[f, x]
D[f_^g_, x_] := f^(g - 1) (g D[f, x] + f Log[f] D[g, x])
D[Log[f_], x_] := D[f, x] / f
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