floating_point

]> floating_point_eg1

(1) \begin{matrix} f' (x) & \approx & m_{1} + O (d x^{2}) \\ f' (x) & \approx & \frac{4}{3} m_{1} - \frac{1}{3} m_{2} + O (d x^{4}) \\ f' (x) & \approx & \frac{3}{2} m_{1} - \frac{3}{5} m_{2} + \frac{1}{10} m_{3} + O (d x^{6}) \end{matrix}