(5). (8%) Prove or disprove whether \( f(x, y) = \frac{2x^2y}{x^2 + y^2} \), if \( (x, y) \neq (0, 0) \), and \( f(0, 0) = 0 \) is differentiable at \( (0, 0) \) or not?
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(5). (8%) Prove or disprove whether \( f(x, y) = \frac{2x^2y}{x^2 + y^2} \), if \( (x, y) \neq (0, 0) \), and \( f(0, 0) = 0 \) is differentiable at \( (0, 0) \) or not?