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]

• Dt[x y, Constants ->

]

• 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