$\frac {\partial g} {\partial f}=\frac g f$

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I found a university excercise where $$w_n=\sum\limits_{i=n}^N x_i$$ and then, in solution, suddendly this happens: $$\frac {\partial w_2} {\partial w_1}=\frac {w_2} {w_1}.$$

I don't understant how this happens.

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Guessing .. $ \dfrac {w_2} {w_1} $ is a constant with respect to independent variable $x$