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http://functions.wolfram.com/01.11.20.0002.01
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D[Sec[z], {z, 2}] == Sec[z] (Sec[z]^2 + Tan[z]^2)
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Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["{", RowBox[List["z", ",", "2"]], "}"]]], RowBox[List["Sec", "[", "z", "]"]]]], "\[Equal]", RowBox[List[RowBox[List["Sec", "[", "z", "]"]], " ", RowBox[List["(", RowBox[List[SuperscriptBox[RowBox[List["Sec", "[", "z", "]"]], "2"], "+", SuperscriptBox[RowBox[List["Tan", "[", "z", "]"]], "2"]]], ")"]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mfrac> <mrow> <msup> <mo> ∂ </mo> <mn> 2 </mn> </msup> <mrow> <mi> sec </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mrow> <mo> ∂ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> </mfrac> <mo> ⩵ </mo> <mrow> <mrow> <mi> sec </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> sec </mi> <mn> 2 </mn> </msup> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> + </mo> <mrow> <msup> <mi> tan </mi> <mn> 2 </mn> </msup> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <partialdiff /> <bvar> <ci> z </ci> <degree> <cn type='integer'> 2 </cn> </degree> </bvar> <apply> <sec /> <ci> z </ci> </apply> </apply> <apply> <times /> <apply> <sec /> <ci> z </ci> </apply> <apply> <plus /> <apply> <power /> <apply> <sec /> <ci> z </ci> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <tan /> <ci> z </ci> </apply> <cn type='integer'> 2 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List[RowBox[List["{", RowBox[List["z_", ",", "2"]], "}"]]]]], RowBox[List["Sec", "[", "z_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Sec", "[", "z", "]"]], " ", RowBox[List["(", RowBox[List[SuperscriptBox[RowBox[List["Sec", "[", "z", "]"]], "2"], "+", SuperscriptBox[RowBox[List["Tan", "[", "z", "]"]], "2"]]], ")"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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