Mathematical statistics question. Under what conditions does the function \(f\left(x_1,x_2,\ldots,x_n\right)\) have the error:\[\sigma_f=\sqrt{\left(\frac{\partial}{\partial x_1}f\sigma_{x_1}\right)^2+\left(\frac{\partial}{\partial x_2}f\sigma_{x_2}\right)^2+\ldots+\left(\frac{\partial}{\partial x_n}f\sigma_{x_n}\right)^2}\]

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