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The total differential of a function $z = f(x,y)$ is defined as the sum of the partial derivative of f with respect to x multiplied by dx, and the partial derivative of f with respect to y multiplied by dy. The formula is dz = (∂f/∂x)dx + (∂f/∂y)dy.

Conditions: z is a function of two variables, x and y.; The partial derivatives ∂$f/x$ and ∂$f/y$ exist.

The total differential of a function $z = f(x,y)$ is defined as the sum of the partial derivative of f with respect to x multiplied by dx, and the partial derivative of f with respect to y multiplied by dy. The formula is dz = (∂f/∂x)dx + (∂f/∂y)dy.

Conditions: z is a function of two variables, x and y.; The partial derivatives ∂$f/x$ and ∂$f/y$ exist.