Find the gradient of f (x, y) = 2xy² – 3x°y.

Determine the gradient of f(x, y) = 2x² + yz° at the point (– 5, 3, – 2). V f( – 5, 3, – 2) =

Suppose f (x, y) = , P = (-2, -1) and v = 2i - 4j. A. Find the gradient of f. (Vƒ)(x, y) =i+j Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) =i+j 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. W i+ j Note: Your answers should be numbers

Find the gradient of the function at the given point. f(x, y) = 2x + 4y² + 4, (3, 4) Vf(3, 4) =