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Total derivative

From Encyclopedia of Mathematics
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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

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
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article