D[z^a, a] == z^a Log[z]

Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", "a"], SuperscriptBox["z", "a"]]], "\[Equal]", RowBox[List[SuperscriptBox["z", "a"], " ", RowBox[List["Log", "[", "z", "]"]]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mfrac> <mrow> <mo> &#8706; </mo> <msup> <mi> z </mi> <mi> a </mi> </msup> </mrow> <mrow> <mo> &#8706; </mo> <mi> a </mi> </mrow> </mfrac> <mo> &#10869; </mo> <mrow> <msup> <mi> z </mi> <mi> a </mi> </msup> <mo> &#8290; </mo> <mrow> <mi> log </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <partialdiff /> <bvar> <ci> a </ci> </bvar> <apply> <power /> <ci> z </ci> <ci> a </ci> </apply> </apply> <apply> <times /> <apply> <power /> <ci> z </ci> <ci> a </ci> </apply> <apply> <ln /> <ci> z </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["a_"]]], SuperscriptBox["z_", "a_"]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", "a"], " ", RowBox[List["Log", "[", "z", "]"]]]]]]]]

2001-10-29