Question: (a) Write an expression as a limit for the directional derivative of f at (x 0 , y 0 ) in the direction of a

(a) Write an expression as a limit for the directional derivative of f at (x₀, y₀) in the direction of a unit vector u = (a, b).
How do you interpret it as a rate? How do you interpret it geometrically?
(b) If f is differentiable, write an expression for D_uf (x₀, y₀) in terms of f_x and f_y.

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