Total Derivative
المؤلف:
Hazewinkel, M
المصدر:
Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet "Mathematical Encyclopaedia." Dordrecht, Netherlands: Reidel
الجزء والصفحة:
p. 228
18-10-2018
830
Total Derivative
There are at least two meanings of the term "total derivative" in mathematics.
The first is as an alternate term for the convective derivative.
The 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
The total derivative of a function 
with respect to 
is implemented in the Wolfram Language as Dt[f[t, x, y, ...], t].
REFERENCES:
Hazewinkel, M. (Managing Ed.). Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet "Mathematical Encyclopaedia." Dordrecht, Netherlands: Reidel, p. 228, 1988.
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