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http://functions.wolfram.com/12.01.20.0002.01
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D[Abs[x], {x, 2}] == 2 DiracDelta[x]
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Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["{", RowBox[List["x", ",", "2"]], "}"]]], RowBox[List["Abs", "[", "x", "]"]]]], "\[Equal]", RowBox[List["2", " ", RowBox[List["DiracDelta", "[", "x", "]"]]]]]]]]
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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> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[LeftBracketingBar]" </annotation> </semantics> <mi> x </mi> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> </mrow> <mrow> <mo> ∂ </mo> <msup> <mi> x </mi> <mn> 2 </mn> </msup> </mrow> </mfrac> <mo> ⩵ </mo> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mrow> <mi> δ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <partialdiff /> <bvar> <ci> x </ci> <degree> <cn type='integer'> 2 </cn> </degree> </bvar> <apply> <abs /> <ci> x </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <ci> δ </ci> <ci> x </ci> </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["x_", ",", "2"]], "}"]]]]], RowBox[List["Abs", "[", "x_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["2", " ", RowBox[List["DiracDelta", "[", "x", "]"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
