In an earlier lab, we observed how we could have a function that is undefined at some value (such as (sin x)/x at the point x=0), but could come arbitrarily close to it by successively evaluating smaller and smaller numbers (i. e. taking a limit). for example, we might evaluate at x=0.1, x=0.01, x=0.001, etc. until we have come very close to the value. taking limits like this, numerically, is commonly done when functions are too complicated to evaluate analytically. you will write a program to compute a derivative as a numerical limit. this activity has a few parts: evaluating a polynomial limit analyticallyyou should have learned by now the process for finding the derivative of a polynomial (as another polynomial). write a program that will read in from the user a cubic polynomial f(x) (as a set of 4 coefficients), and use this to compute the derivative polynomial (i. e. compute the three coefficients of the derivative f’( then, read in a value for x from a user, and evaluate the derivative polynomial at that x. print out that value.