Pregunta: y=ln(1+x2x)

Differentiate using the chain rule, which states that $\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left[\mathrm{f}\left(\mathrm{g}\left(\mathrm{x}\right)\right)\right]$ is ${\mathrm{f}}^{\prime }\left(\mathrm{g}\left(\mathrm{x}\right)\right){\mathrm{g}}^{\prime }\left(\mathrm{x}\right)$ where $\mathrm{f}\left(\mathrm{x}\right)=\ln \left(\mathrm{x}\right)$ and $\mathrm{g}\left(\mathrm{x}\right)=\frac{\mathrm{x}}{1+{\mathrm{x}}^2}$ .

$\frac{1}{\frac{\mathrm{x}}{1+{\mathrm{x}}^2}}\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left[\frac{\mathrm{x}}{1+{\mathrm{x}}^2}\right]$

Multiply by the reciprocal o...