Determine the gradient vector of a given real-valued function. Calculate the gradient of f(x, y) = (3, 2): = Question Help: xy at (x, y) = (3, 2). Video Message instructor Please show your answer to at least 4 decimal places. 3x Determine the gradient of f(x, y) = e* sin(2y) at (x, y) = (2, 1). (2, 1) = Question Help: Video Message instructor Submit Question Given f(x, y) = = 6e4x sin(2y) then V (0, 1) = Question Help: Video Message instructor Submit Question Please show your answer to 4 decimal places. Find the maximum rate of change of the function f(x, y) = Question Help: Video Message instructor Submit Question 4y5 X at the point (1,4). Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change occurs for the function f(x, y) = 4x sin(xy) at the point (4,3). Give your answer as a unit vector. Question Help: Video Message instructor Submit Question