Is it possible for sage to use an undefined function such that:

diff(f(x(t),y(t)),t) yields the definition of the total derivative?

In Mathematica I can run:

D[f[x[t],y[t]],t]  This yields Latex here $$\frac { df(x,y) }{ dt } =\frac
{ \partial f }{ \partial x } \dot { x } +\frac { \partial f }{ \partial y }
\dot { y } $$

I can't reproduce Mathematica's strange output here, but it is the correct
definition of the total derivative.

Thanks,
Chris

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