2. Let 3 4 2 x my , f(x y) = x24y2 1f (flag) 75 (0,0) 0 if (ray) 2 (0,0) (a) (6 marks) Is
2. Let 3 4 2 x my , f(x y) = x24y2 1f (flag) 75 (0,0) 0 if (ray) 2 (0,0) (a) (6 marks) Is f differentiable at (0, 0)? Prove your answer. (b) (6 marks) Find the directional derivative Du f (0, 0) for a general unit vector u = u1i+ U2 j. If it does not exist, explain why
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