The term "total derivative" has at least two meanings in mathematics.
The first is as an alternate term for the convective derivative.
The second meaning of total derivative is the derivative with respect to 
of the function 
that depends on the variable 
not only directly but also via the intermediate variables
.
It can be calculated using the formula
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The total derivative of a function 
with respect to 
is implemented in the Wolfram
Language as Dt[f[t,
x, y, ...], t].
