Let f: R²R be defined by f(x, y) = |x|+|y|. Suppose u = (u₁, u₂) € R² be any unit vector and let (0,0). Determine whether the following exist or not. C= (a) first partial derivatives of f at c; (b) directional derivative of f at c in the direction of u. Is the function continuous and differentiable at c?

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