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

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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