Find the derivative $\frac{d}{dx}\left(\frac{\frac{\sin\left(\sqrt{x+1}x\right)}{x+1}}{\sqrt{\frac{1-x\sin\left(x-1\right)^2}{x+1}}}\right)$
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Solving: $\frac{d}{dx}\left(\frac{\frac{\sin\left(\sqrt{x+1}x\right)}{x+1}}{\sqrt{\frac{1-x\sin\left(x-1\right)^2}{x+1}}}\right)$
No formulas were used