Partial derivatives & Vector calculus

The partial derivative D [f [x], x] is defined as , and higher derivatives D [f [x, y], x, y] are defined recursively as etc. The order of derivatives n and m can be symbolic and they are assumed to

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The partial derivative symbol tells you the following: In the subscript you can see two letters. The first one tells you according to what you are differentiating, in your case x.