TeX джерело:

\begin{array}{l}\Delta s = s({t_0} + \Delta t) - s({t_0}) = 5{({t_0} + \Delta t)^2} + ({t_0} + \Delta t) + 3 - (5t_0^2 + {t_0} + 3) = \\ = 5t_0^2 + 10{t_0}\Delta t + 5\Delta {t^2} + {t_0} + \Delta t + 3 - 5t_0^2 - {t_0} - 3 = 10{t_0}\Delta t + 5\Delta {t^2} + \Delta t.\end{array}