QUESTION 6 Lat ft\" ft?) = 321112 - (a). Find the gradient of f at the point where (3:, y) = (1, 2). (b). Find the directional derivative of f at the point where (a: y) = (1,2) in the direction of the vector . Hint: Find a unit vector in the same direction as rst. QUESTION 7 In Figure 1 you will find a contour map of a function f(:r, y). The positive :1: direction is to the right, and the positive y direction is up. (a). Is f$(100, 100) positive or negative? Justify your answer. (1)). Is fy(50, 100) positive or negative? Justify your answer.