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. 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)