$\frac{d}{dx}\left(\left(x^2+1\right)^2\left(x-1\right)^7x^3\right)=4\left(x^2+1\right)x\left(x-1\right)^7x^3+\left(x^2+1\right)^2\left(7\left(x-1\right)^{6}x^3+3\left(x-1\right)^7x^{2}\right)$
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