part c&d

A. Use the definition of derivative to write a python function that calculate the slope at 4 for cosx using different values of h. h=[0.5,0.3,0.2,0.1,0.01,0.001]. For each value of h calculate the true error, the relative true error, the approximate error and the relative approximate error. B. with the smallest value of h calculate the derivate for cosx at different points, points =[0,8,6,4,2,]. C. Using matplotlib to plot the derivatives in part B. D. Prove through the plot that the derivate of cosx is sinx by ploting sinx in the plot of part C and show that sinx passes through all derivate points in part C