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Mixed Partial Derivative

A Partial Derivative of second or greater order with respect to two or more different variables, for example

f_{xy}={\partial^2 f\over\partial x\partial y}.

If the mixed partial derivatives exist and are continuous at a point ${\bf x}_0$, then they are equal at ${\bf x}_0$ regardless of the order in which they are taken.

See also Partial Derivative

© 1996-9 Eric W. Weisstein