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$2n$ th partial derivative of $\frac{1}{y(1+x^2)-1}$ with respect to $x$.

I need to find the $2n$ th derivative with respect to $x$ of the function $f = \frac{1}{y(1+x^2)-1}$. I tried differentiating util a pattern was founded, but that didn't happen. I think the $x^2$ is ...
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