Total derivative
From Encyclopedia of Mathematics
of a composite function
The derivative with respect to of the function
which depends on the variable
not only directly but also via the intermediate variables
. It is calculated by the formula
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where ,
,
are partial derivatives (cf. Partial derivative).
How to Cite This Entry:
Total derivative. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Total_derivative&oldid=14252
Total derivative. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Total_derivative&oldid=14252
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article