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 ArcCosh

 http://functions.wolfram.com/01.26.20.0002.01

 Input Form

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

 Standard Form

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

 MathML Form

 2 cosh - 1 ( z ) z 2 - z ( - 1 + z ) 3 / 2 ( 1 + z ) 3 / 2 z 2 z -1 z -1 z 3 2 1 z 3 2 -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["ArcCosh", "[", "z_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox["z", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "z"]], ")"]], RowBox[List["3", "/", "2"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", "z"]], ")"]], RowBox[List["3", "/", "2"]]]]]]]]]]]]

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

 2001-10-29