Let x²y q² +y² if (x, y) + (0,0), if (x, y) = (0,0) f(x, y) = (a) Find directional derivative of f(x, y) at (0, 0) in every direction. (b) Show that f is not differentiable at (0,0). (Hint: if f is differentiable at (0,0), Dūf(0,0) = Vf (0, 0) - ū.)

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