Consider the following function f(x,y)=x2+xy2-2x+1{“version”…

Consider the following function f(x,y)=x2+xy2-2x+1{“version”:”1.1″,”math”:”f(x,y)=x2+xy2-2x+1″}. (a) Find the critical points. (b) Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, a local minimum, or a saddle point. (You do not need to type your answers in the space below. However, you must upload a file of your handwritten work in the final question.