The Physics package provides a framework for computing with commutative, anticommutative, and noncommutative objects at the same time. Accordingly, it is possible to differentiate with respect to anticommutative variables; the command used to perform these derivatives is Physics[diff] (herein referred to as diff).

convert/D and convert/diff are converter routines between the D and diff formats for representing derivatives. The equivalence for anticommutative high order derivatives written in the D format and diff format of the Physics package is as in:

Physics[diff](f(theta1,theta2),theta1,theta2) = D[1,2](f)(theta1,theta2);

where the derivative above should be interpreted as: first differentiate with respect to , then with respect to  (or the opposite times ). Thus, in this case, the right hand side should not be interpreted as usual, that is, as a commutative higher order derivative.

Physics:-diff(Physics:-diff(Physics:-diff(diff(diff(diff(f(x, y, z, theta1, theta2, theta3), x), y), z), theta1), theta2), theta3)