2. Consider the function f (w, y, z) = 3my2 + (L'ZZ 2yz2. (a) (2 pts) Find the rate of change of f at the point (3, 3, 3) in the direction 17 = (g, , g). (b) (2 pts) Find the direction in which the rate of change of f is greatest at the point (2, 2, 2). What is the rate of change of f in this direction? (c) (2 pts) Find the equation of the tangent plane to the surface f(w,y,z) = 2 at the point (1,1,1)