Please provide correct answer.
Suppose / (x,y) = x\y, P = (-4,4) and v = -3i - 2j. Find the gradient of f. f = 1/y i+ -x/y lambda 2 j Note: Your answers should be expressions of x and y; e.g. "3x - 4y" Find the gradient of fat the point P. (f) (P) = 0.25 i+ 0.25 Note: Your answers should be numbers Find the directional derivative of fat P in the direction of v. Duf = Note: Your answer should be a number Find the maximum rate of change of fat P. Note: Your answer should be a number Find the (unit) direction vector in which the maximum rate of change occurs at P. u= i+ j Note: Your answers should be numbers