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# Higher Partial Derivatives

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Since partial derivatives are themselves functions, we can repeat the process of partial differentiation.

Second partial derivatives are denoted by

Similarly higher partial derivatives are written

In the case when mixed partial derivatives are equal (i.e. it does not matter whether the partial derivatives are taken first with respect to a variable and then with respect to or vice versa) one can use multiindices for higher partial derivatives.

Here the index denotes the number of partial derivatives with respect to the -th variable. The sum is called the order of the partial derivative.

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