Evaluate
\frac{\frac{3x^{4}\sin(4\arctan(x))-8x^{4}\sin(2\arctan(x))-28x^{4}\arctan(x)+6x^{2}\sin(4\arctan(x))-16x^{2}\sin(2\arctan(x))-56x^{2}\arctan(x)+3\sin(4\arctan(x))-8\sin(2\arctan(x))-28\arctan(x)+32}{\left(x^{2}+1\right)^{2}}+\frac{32С\left(-x^{4}-2x^{2}-1\right)}{x^{4}+2x^{2}+1}}{16}
Differentiate w.r.t. x
\frac{3x^{4}\cos(4\arctan(x))-4x^{4}\cos(2\arctan(x))+6x^{2}\cos(4\arctan(x))-8x^{2}\cos(2\arctan(x))+3\cos(4\arctan(x))-4\cos(2\arctan(x))-7x^{4}-14x^{2}-32x-7}{4\left(x^{2}+1\right)^{3}}
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