Let f(x, y) = xy3 ? x 2 + 2y ? 1. (a) Find the gradient vectorof f(x, y) at the point (2, 1).
(b) Find the directional derivative of f(x, y) at the point (2,1) in the direction of ~u = 1 ? 10 (3i + j).
(c) Find the directional derivative of f(x, y) at point (2, 1)in the direction of ~v = 3i + 2j.
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