1.Write a computer program to compute the numerical estimate of the derivative and total numerical error of the function y ¼ x6 using an approximation scheme for the first derivative and progressively smaller step size. Present your results for estimated derivate, true percent relative error and approximate percent relative error in a table. Decrease step sizes by a factor of 10, i.e., x ¼ 1/10i and identify the optimum step size and error.
