Pregunta: Find dxdy for the following function. y=4+cosx3xsinx dxdy=

$\mathrm{y}=\frac{3\mathrm{x}\sin \mathrm{x}}{4+\cos \mathrm{x}}$

$\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\mathrm{x}\sin \mathrm{x}$

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