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D

FilledSmallSquare D[f, x] gives the partial derivative .

FilledSmallSquare D[f, x, n] gives the multiple derivative .

FilledSmallSquare D[f, , , ... ] gives .

FilledSmallSquare D[f, x] can be input as . The character is entered as AliasIndicatorpdAliasIndicator or \[PartialD]. The variable x is entered as a subscript.

FilledSmallSquare All quantities that do not explicitly depend on the are taken to have zero partial derivative.

FilledSmallSquare D[f, , ... , NonConstants -> , ... ] specifies that the implicitly depend on the , so that they do not have zero partial derivative.

FilledSmallSquare The derivatives of built-in mathematical functions are evaluated when possible in terms of other built-in mathematical functions.

FilledSmallSquare Numerical approximations to derivatives can be found using N.

FilledSmallSquare D uses the chain rule to simplify derivatives of unknown functions.

FilledSmallSquare D[f, x, y] can be input as . The character \[InvisibleComma], entered as AliasIndicator,AliasIndicator, can be used instead of an ordinary comma. It does not display, but is still interpreted just like a comma.

FilledSmallSquare See Section 1.5.2 and Section 3.5.1.

FilledSmallSquare Implementation Notes: see Section A.9.5.

FilledSmallSquare See also: Dt, Derivative, Maximize.

FilledSmallSquare Related packages: Calculus`VectorAnalysis`, NumericalMath`NLimit`.

FilledSmallSquare New in Version 1; modified in 3.

Further Examples