Question: I need help with this. Consider the function f (x, y) = if x = 3y otherwise. (a) (5 points): Is f continuous at the

I need help with this.

Consider the function f (x, y) = if x = 3y otherwise. (a) (5 points): Is f continuous at the point (0, 0)? Explain your answer. (b) (10 points): Prove that for any nonzero vector v E R", the directional derivative du f(0, 0) exists. (c) (5 points): Is f differentiable at the point (0, 0)? Explain your

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