Pregunta: Find and simplify y''.y=2x-2x+2y''=

Given

$\mathrm{y}=\frac{2\mathrm{x}-2}{\mathrm{x}+2}$

Differentiate using the Quotient Rule which states that $\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left[\frac{\mathrm{f}\left(\mathrm{x}\right)}{\mathrm{g}\left(\mathrm{x}\right)}\right]$ is $\frac{\mathrm{g}\left(\mathrm{x}\right)\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left[\mathrm{f}\left(\mathrm{x}\right)\right]-\mathrm{f}\left(\mathrm{x}\right)\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left[\mathrm{g}\left(\mathrm{x}\right)\right]}{{\mathrm{g}\left(\mathrm{x}\right)}^2}$ where $\mathrm{f}\left(\mathrm{x}\right)=2\mathrm{x}-2$ and $\mathrm{g}\left(\mathrm{x}\right)=\mathrm{x}+2$.