Suppose f (c, y) = *, P = (3,4) and v = -li + 2j. A. Find the gradient of f. +! = (1 x )(/4) Note: Your answers should be expressions of x and y: e.g. "3x - 4y" B. Find the gradient of f at the point P. (VA) (P) = it Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. (Duf) (P) = Note: Your answer should be a number D. Find the maximum rate of change of f at P. Note: Your answer should be a number E. Find the (unit) direction vector w in which the maximum rate of change occurs at P. Note: Your answers should be numbers