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 ArcCsch

 http://functions.wolfram.com/01.29.20.0002.01

 Input Form

 D[ArcCsch[z], {z, 2}] == (1 + 2 z^2)/(Sqrt[1 + 1/z^2] z^3 (1 + z^2))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["{", RowBox[List["z", ",", "2"]], "}"]]], RowBox[List["ArcCsch", "[", "z", "]"]]]], "\[Equal]", FractionBox[RowBox[List["1", "+", RowBox[List["2", " ", SuperscriptBox["z", "2"]]]]], RowBox[List[SqrtBox[RowBox[List["1", "+", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", SuperscriptBox["z", "3"], " ", RowBox[List["(", RowBox[List["1", "+", SuperscriptBox["z", "2"]]], ")"]]]]]]]]]

 MathML Form

 2 csch - 1 ( z ) z 2 2 z 2 + 1 1 + 1 z 2 z 3 ( z 2 + 1 ) z 2 z 2 z 2 1 1 1 z 2 -1 1 2 z 3 z 2 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List[RowBox[List["{", RowBox[List["z_", ",", "2"]], "}"]]]]], RowBox[List["ArcCsch", "[", "z_", "]"]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["1", "+", RowBox[List["2", " ", SuperscriptBox["z", "2"]]]]], RowBox[List[SqrtBox[RowBox[List["1", "+", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", SuperscriptBox["z", "3"], " ", RowBox[List["(", RowBox[List["1", "+", SuperscriptBox["z", "2"]]], ")"]]]]]]]]]

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

 2001-10-29