For the functions given below, write the optimality conditions and find the stationary points. use your calculator (or matlab) when needed to do some of the computations, but show all the work. also determine the local minimum, local maximum, and inflection points for the function (inflection points are those stationary points that are neither minimum nor maximum).
f (x1, x2) = x12 + 4x1x2 + x2^2 + 3