- #1

ato

- 30

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for example let's consider

$$z=x+y$$

so by usual steps that are mentioned on e.g wikipedia etc.

$$\frac{\partial}{\partial x}z=1$$

but what if its also true that $$y=x$$ (or in other words why the steps does not take into account that the input variables might depend on each other)

$$\frac{\partial}{\partial x}z=2$$

so the question is how paritial derivative is defined for function of dependent variables ?