Please write out all the steps on a separate piece of paper cause when it is written on the laptop, it gets confusing to understand what is happening. Appreciate it! Thanks!

Problem 2: Two Variables Optimization Consider the following function: f(33, y) = 811:3 + y3 12my (a) Solve for the critical points given that :r, 2 i (y is unconstrained) (b) Are those critical values maxima or minima? Hint: remember the domain of the function