Section 11.6: Problem 6 (1 point) Find the maximum rate of change of f(x, y) = In(x2 + y2) at the point (-3, 3) and the direction in which it occurs. Maximum rate of change: Direction in which it occurs:Section 11.6: Problem 7 (1 point) Consider the function f(x, y) = -(4x2 + 372). Find the the directional derivative of f at the point (2, 4) in the direction given by the angle 0 = IT . Find the vector which describes the direction in which f is increasing most rapidly at (2, 4).Section 11.6: Problem 14 (1 point) You are standing above the point (3, 1) on the surface z = 20 - (3x2 + 232). (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.) direction = (b) If you start to move in this direction, what is the slope of your path? slope =