python

the polynomial equation is Ax^3+Bx^2+Cx+D

b) Evaluating a polynomial derivative numerically For a function f(x), the derivative of the function at a value x can be found by evaluating f(x+2)-(*) and finding the limit as a gets closer and closer to 0. Using the same polynomial as the user entered in part (a), and for the same value of x as entered in part (a), compute the limit numerically. That is, start with an estimate by evaluating** 72 using a value for a such as 0.1. Then, repeatedly halve the value of a until the difference between successive evaluations of is less than some small value, such as 10%. Print the result, along with the number of evaluations it took. Calculate how close that result is to the actual answer, computed in part (a). Repeat the above activity by evaluating the limits of the following expressions: 17 2 or Try computing each of those, and calculate how many iterations you need to converge to the limit. Do you get different results with any of them, or does any of them take fewer steps to get an answer? (Put your answer as a comment in your code.)