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Input:
`d((sin(x) * x^2) / (1 + tan(cot(x))))`



Compute: $$\frac{d}{dx} (\frac {sin(x)\ x^{2}}{1+tan(cot(x))})$$

$$ \frac{d}{dx} (\frac {sin(x)\ x^{2}}{1+tan(cot(x))}) == 2\ (\frac{1}{1+tan(cot(x))})\ sin(x)\ x+((\frac{1}{1+tan(cot(x))})\ cos(x)+csc(x)^{2}\ sec(cot(x))^{2}\ ((1+tan(cot(x)))^{-2})\ sin(x))\ x^{2} $$ Result:
$$2\ (\frac{1}{1+tan(cot(x))})\ sin(x)\ x+((\frac{1}{1+tan(cot(x))})\ cos(x)+csc(x)^{2}\ sec(cot(x))^{2}\ ((1+tan(cot(x)))^{-2})\ sin(x))\ x^{2}$$



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