Pregunta: Differentiate. y=x3+x−6x+7 y′=

The function is given as $\mathrm{y}=\frac{\mathrm{x}+7}{{\mathrm{x}}^3+\mathrm{x}-6}$

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 $\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}+7$ and $\mathrm{g}\left(\mathrm{x}\right)={\mathrm{x}}^3+\mathrm{x}-6$ .