If we take partial derivative of $x+x'$ with respect to $x$, do we get $1$?
This is rather a simple question but I cannot answer this with the definition of partial derivative in the wikipedia...
2026-03-25 16:44:22.1774457062
Confused about the definition of partial derivative
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Partial derivative is exactly as the ordinary derivative for function of one variable keeping the Others variable constant and deriving by the variable considered.
Then in your case since
$$x+x'=x+1\implies \frac{\partial}{\partial x}(x+1)=1$$