2. Consider the function f($, 91,2) = Smy' + m'z 2yz'. (a) (b) 2 pts) Find the rate of change of f at the point (3, 3 3) 1n the direction 2,1 2 ( (2 pts) Find the direction 1n which the rate of change of f is greatest the point (2, 2 ,2). What iS the rate of change of f 1n this direction? (2 (0) pts) Find the equation of the tangent plane to the surface f(:1:,y,z) = 2 at the point (1, 1, 1)