TeX source:

\mathbf{D}\left(\log _{10}(\sin (\mathrm{x}))\right)=\frac{1}{\sin (\mathrm{x}) \cdot \ln (10)} \quad \mathbf{D}(\sin (\mathrm{x}))=\frac{\cos (\mathbf{x})}{\sin (\mathrm{x}) \cdot \ln (10)}