(1 point) Suppose f (x, y) = P = (-3, -3)and v = -4i 2j....

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(1 point) Suppose f (x, y) = P = (-3, -3)and v = -4i – 2j. A. Find the gradient of f. Vf = jl Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (V) (P) = iH Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. Df = 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 in which the maximum rate of change occurs at P. u = j Note: Your answers should be numbers (1 point) Suppose f (x, y) = P = (-3, -3)and v = -4i – 2j. A. Find the gradient of f. Vf = jl Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (V) (P) = iH Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. Df = 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 in which the maximum rate of change occurs at P. u = j Note: Your answers should be numbers

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