 |
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]= 
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT. SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION. | | | |
| |
|
