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| = Partial Derivatives = | = Partial Derivative = |
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| 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''). | A '''partial derivative''' is the [[Calculus/Derivative|derivative]] of a multivariate function with respect to one of those variables. |
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| == Notation == | == Desription == |
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| ---- == Total Derivation == Given the partial derivatives for each variable, the '''total derivative''' is calculated as: {{attachment:total.svg}} |
Partial derivatives are also useful for expressing the [[Calculus/Differential|total derivative]]. |
Partial Derivative
A partial derivative is the derivative of a multivariate function with respect to one of those variables.
Contents
Desription
The partial derivative of f with respect to x is written as one of:
In particular, note that ∂ is used for partial derivatives.
Partial derivatives are also useful for expressing the total derivative.