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Dt

Usage

Dt[f, x] gives the total derivative  .
Dt[f] gives the total differential  .
Dt[f, {x, n}] gives the multiple derivative  .
Dt[f,  ,  , ... ] gives  .


Notes

Dt[f,  , ... , Constants -> { , ... }] specifies that the  are constants, which have zero total derivative.
• Symbols with attribute Constant are taken to be constants, with zero total derivative.
• If an object is specified to be a constant, then all functions with that object as a head are also taken to be constants.
• All quantities not explicitly specified as constants are assumed to depend on the  .
• Example: Dt[x y]LongRightArrow .
Dt[x y, Constants ->  x ]LongRightArrow .
• You can specify total derivatives by assigning values to Dt[f], etc.
• See also: D, Derivative.
• New in Version 1.


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