Question: 2. Consider The Polynomial = F(X) = -0.1x4 – 0.15x3 – 0.5x2 – 0.25x + 1.2 The True Value Of Its Derivative At X=0.5 Is F'(0.5) = -0.9125.

2. Consider the polynomial f(x) = -0.1x0.15x3 -0.5x2 - 0.25x + 1.2 The true value of its derivative at x=0.5 is f'(0.5) = -0.9125. Use the forward finite difference technique to estimate the derivative numerically. Perform the numerical differencing for a range of values of step size Ax, starting from Ax = 5, reducing it by a factor of two, till Ax = 0.0098. Determine the percent error between the true value and each of the estimated values (percent error is given by Jestimated value - true value true value converted to a percentage.) and plot it as a function of Ax. Use python to solve this problem. [50 points] Rubric 1. Compute required velocities correctly = 25 points (partial credit for incorrect computations) Compute correct accelerations = 25 points (partial credit for incorrect computations) 2. Proper code for computing the derivative using finite difference scheme = 25 points (-5 for not using function, -5 for not using a loop, -10 if code does not give desired output) Correct plot showing error estimate = 25 points. (-10 if plot does not contain axis labels/title, -10 if code produces incorrect plot)