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Math Handbook Calculator

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f(x) = x; `sum_x f(x)` `int`f(x) dx `int_0^1`sin(x) dx `d/dx`y(x) `(d^(1/2) y)/dx^(1/2)` `y^((1))(x)` y'





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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