Partial Derivatives

A partial derivative is the derivative of a multivariate function (e.g., f(x, y)) with respect to one of those variables (e.g., x rather than y).


Notation

The partial derivative of f with respect to x is written as one of:

notation.svg

In particular, note that is used for partial derivatives.


Total Derivation

Given the partial derivatives for each variable, the total derivative is calculated as:

total.svg


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Calculus/PartialDerivatives (last edited 2024-06-03 22:37:55 by DominicRicottone)