I would like to perform a computation which involves fourth-order derivatives of a composite function of four variables. I am defining my function as
G[t_, x_, y_, z_] := (x - v*t)^2 + y^2 + z^2;
f[t_, x_, y_, z_] := f[G[t, x, y, z]];
So when I want to display the output of $f \partial_x f$ in traditional form, the command
TraditionalForm[f[t,x,y,z]*D[f[t,x,y,z],x]]
gives me $$2(x-tv)f((x-tv)^2 + y^2 + z^2)f'((x-tv)^2+y^2+z^2).$$
However, I would like to hide the independent variables here, and have TraditionalForm
output an answer like $2(x-tv)ff'$ instead. I can hide the independent variables of derivatives using something like
TraditionalForm[...] /. Derivative[n_][x_][___] :> Derivative[n][x]
but I haven't been able to figure out how hide the dependent variables of the "zeroth" derivatives. Any advice would be appreciated!