Question: Q3: Consider the function defined on the whole zyplane: [F it (z,y) (0,0) f(?:, y) { +u f (I: y) - {{L ) (a) Using

Q3: Consider the function defined on the whole zyplane: [F it (z,y) (0,0) f(?:, y) { +u f (I: y) - {{L ) (a) Using the limit definition, show that both the partial derivatives f, and f, exist at (0,0). (b) From part (a) can you conclude that f(z,y) is differentiable at (0,0)? Hint: Check if f(z,y) is continuous at (0,0)

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