In this exercise you will have to code a simple version of gradient descent using Python. Take a screenshot of your code and results or attach it. (a) The objective function, the function you are going to use in your optimization problem, is f(x)=3x25x+10. Compute for which values of L is this function L-smooth and the minimum of f(x). (b) Implement gradient descent with initial condition x0=5 and fixed stepsize equal to 2 and run the algorithm for 20 iterations. What is the final iterate? (c) Implement gradient descent with initial condition x0=5 and fixed stepsize equal to 1/6 and run the algorithm for 20 iterations. What is the final iterate? (d) Implement gradient descent with initial condition x0=5 and fixed stepsize equal to 102 and run the algorithm for 100 iterations. What is the final iterate? (e) What is your conclusion about the previous questions