Consider the functions f : R" -> R' given by f(x, y) = (5y - 3x, x2) and g : R - R given by g(v, w) = (-2v2, w) + 7) Find the following (make sure to include all of your reasoning): . Find Df and Dg . Use the chain rule explained in the course videos to find D(f (g) ) at the point (x, y) = (2, -3)