- #1
orion
- 93
- 2
If I have a scalar function of a variable ##x## I can write the derivative as: ##f'(x)=\frac{df}{dx}##.
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.
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.