Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = sin(xy), (8,0) Step 1 Recall that the direction in which the maximum rate of change of f(x, y) occurs at a point (a, b) is given by the vector f(a, b). For f(x, y) = sin(xy), we have Vf(x, y) =