Dt

Dt[f, x] gives the total derivative .

Dt[f] gives the total differential .

Dt[f, x, n] gives the multiple derivative .

Dt[f, , , ... ] gives .

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] .

Dt[x y, Constants -> x] .

You can specify total derivatives by assigning values to Dt[f], etc.

See Section 1.5.2 and Section 3.5.2.

See also: D, Derivative.

New in Version 1.

Further Examples