Aplicamos a regra: $\frac{d}{dx}\left(\frac{a}{b}\right)$$=\frac{\frac{d}{dx}\left(a\right)b-a\frac{d}{dx}\left(b\right)}{b^2}$, onde $a=2$ e $b=\ln\left(x\right)$

Aplicamos a regra: $\frac{d}{dx}\left(c\right)$$=0$, onde $c=2$

Aplicamos a regra: $x+0$$=x$, onde $x=-2\frac{d}{dx}\left(\ln\left(x\right)\right)$

Aplicamos a regra: $\frac{d}{dx}\left(\ln\left(x\right)\right)$$=\frac{1}{x}$

Aplicamos a regra: $\frac{\frac{a}{b}}{c}$$=\frac{a}{bc}$, onde $a=-2$, $b=x$, $c=\ln\left(x\right)^2$, $a/b/c=\frac{\frac{-2}{x}}{\ln\left(x\right)^2}$ e $a/b=\frac{-2}{x}$