Mathematica > Mathematics and Algorithms > Calculus > Dt
BUILT-IN MATHEMATICA SYMBOL

Dt

Dt[f, x]
gives the total derivative .

Dt[f]
gives the total differential .

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

Dt[f, x1, x2, ...]
gives .

Details and OptionsDetails and Options

  • Dt[f, x1, ..., Constants->{c1, ...}] 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 .
  • You can specify total derivatives by assigning values to Dt[f], etc.

ExamplesExamplesopen allclose all

Basic Examples (4)Basic Examples (4)

Find the total derivative with respect to :

In[1]:=
Click for copyable input
Out[1]=

Find the total derivative of :

In[1]:=
Click for copyable input
Out[1]=

Find the second total derivative with respect to :

In[1]:=
Click for copyable input
Out[1]=

Find the total derivative with respect to two variables:

In[1]:=
Click for copyable input
Out[1]=

Scope (4)Scope (4)

Options (3)Options (3)

Properties & Relations (1)Properties & Relations (1)

Top
New in 1
Send Feedback
Mathematica 9 is now available!

400+ new features, including the new Wolfram Predictive Interface, social network analysis, enterprise CDF deployment, and more »

Try Now
Buy/Upgrade
New to Mathematica? Find your learning path »
Have a question? Ask support »