Let f(x, y) = x 2y + e ^(x+2y) . (a) Find the gradient f(x, y)
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Question:
Let f(x, y) = x − 2y + e ^(x+2y) .
(a) Find the gradient ∇f(x, y) at the point (2, −1).
(b) Find the directional derivative of f(x, y) in the direction of u = −i + j.
(c) In which direction does f increase most rapidly? Find the maximum rate of change of f.
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