Question

$$| \frac{ 2 { x }^{ 2 } +12x+4 }{ { x }^{ 4 } -5 { x }^{ 2 } +4 }$$

Evaluate

$\frac{2|x^{2}+6x+2|}{|x^{4}-5x^{2}+4|}$

Differentiate w.r.t. x

$\frac{4\left(sign(x^{2}+6x+2)x^{5}+3sign(x^{2}+6x+2)x^{4}-2|x^{2}+6x+2|x^{3}-5sign(x^{2}+6x+2)x^{3}-15x^{2}sign(x^{2}+6x+2)+4xsign(x^{2}+6x+2)+5x|x^{2}+6x+2|+12sign(x^{2}+6x+2)\right)}{\left(x^{4}-5x^{2}+4\right)|x^{4}-5x^{2}+4|}$