This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
 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 the Mathematica book: Section 1.5.2, Section 3.5.2. See also: D, Derivative. Further Examples This gives the total derivative of with respect to x. In[1]:= Out[1]= This gives the total differential. In[2]:= Out[2]= This gives the second derivative with respect to x. In[3]:= Out[3]= This gives a multiple derivative. In[4]:= Out[4]=