TeX source:

\mathrm{x}_{2} = \mathrm{x}_{1}-\frac{\mathrm{f}\left(\mathrm{x}_{1}\right)}{\mathrm{f}^{\prime}\left(\mathrm{x}_{1}\right)}=0-\frac{\mathrm{f}(0)}{\mathrm{f}^{\prime}(0)}=0-\frac{-1}{1}=1