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| ---- == Total Derivation == Given the partial derivatives for each variable, the '''total derivative''' is calculated as: {{attachment:total.svg}} |
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).
Contents
Notation
The partial derivative of f with respect to x is written as one of:
In particular, note that ∂ is used for partial derivatives.
Total Derivation
Given the partial derivatives for each variable, the total derivative is calculated as:
![[ATTACH]](/Calculus/PartialDerivative?action=AttachFile&do=upload_form&target=total.svg&ticket=0069dac4ef.237726311c722a1f3930dc61842f208ffab089c4 "[ATTACH]"){kind=small}