Pregunta: y=sin(xcosx)

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 $\mathrm{f}\left(\mathrm{x}\right)=\sin \left(\mathrm{x}\right)$ and $\mathrm{g}\left(\mathrm{x}\right)=\mathrm{x}\cos \left(\mathrm{x}\right)$ .

$\cos \left(\mathrm{x}\cos \left(\mathrm{x}\right)\right)\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left[\mathrm{x}\cos \left(\mathrm{x}\right)\right]$