Building a module 10 points in the optimization lessons, our frequent tasks included finding zeroes, minima, derivatives, and integrals. in this assignment, you will build a small self-contained module which is capable of accepting a function and returning the following: 1. a zero. 2. the global minimum, found by brute force. 3. the local minimum starting from 0, found by hill climbing. 4. the derivative of the function at a given point. 5. the integral of the function from 0 to a given point. pretend that the text entry box is the entire script itself defining your module. the autograder will check for the presence and function of each part of your module independently. we won't test this with pathological functions that don't have answers (like y a); well stick to well-behaved functions like y21 and y sinz.