Question 2. Let f(:c,y) = 533:2 | sin(a: + 3;). Find the following: (a) The gradient of f(m, y}. (b) The gradient of the function f at the point (7r, 11'). (c) The directional derivative of the function f at the point (113%) in the direction of the vector (3, 4). (d) The maximum rate of change of the function f at the point (1T, 0). (e) The direction in which the function 3" decreases fastest at the point (11', 0)