## Partial Derivatives

## Partial Differentiation with Respect to One Variable

Let *F* be a function of several variables, say *x*, *y*, and *z*. In symbols,

$F = f(x, \, y, \, z)$.

The partial derivative of *F* with respect to *x* is denoted by

$\dfrac{\partial F}{\partial x}$

and can be found by differentiating *f*(*x*, *y*, *z*) in terms of *x* and treating the variables *y* and *z* as constants.

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