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Now suppose ##x## is no longer a single variable but a vector: ## x=(x^1, x^2, ..., x^n)##. Then of course we have for the derivative ##(\frac{\partial f}{\partial x^1}, ..., \frac{\partial f}{\partial x^n})##.

But for a proof I need a compact notation like ##\frac{df}{dx}## for this multivariable case. Does such a compact notation exist? I mean, a notation without making explicit reference to components.

Thanks in advance.