1. Approximate the first derivative of f (x) = 5e2.3x at x = 1.25 using a step size of Ax = 0.2 using the following methods: a. Forward Divided Difference (FDD) b. Backward Divided Difference (BDD) c. Central Divided Difference (CDD) d. Use analytic method to find f'(1.25) and compare the errors. Which method had the best approximation? Approximation Method | First Derivative Value | Error(%) FDD BDD CDD 2. Use the same conditions in #1 to find f" (1.25). Approximation Method Second Derivative Value Error(%) FDD BDD CDD 3. The distance s, measured in meters, of a bicycle rider from his point of origin is measured at intervals of 0.25 seconds, as shown below t S 0 0 0.25 4.3 0.5 0.75 1 1.25 1.5 10.2 17.2 26.2 33.1 39.1 Use CDD to approximate the velocity and acceleration of the biker at t=0.25 s, 0.75s and 1.25 s. Give your answers in 4 decimal places. Time 0.25 s 0.75 s 1.25 s Acceleration Velocity