Show that the function is differentiable by finding values of 1 and 2 as designated in the definition of differentiability, and verify that both 1 and 2 approach 0 as (x, y) (0, 0) (x, y) x y ...

fx y x y Az fx x y Ay x y x 2x ...

Show that the function is differentiable by finding values of 1 and 2 as designated

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Show that the function is differentiable by finding values of ε₁ and ε₂ as designated in the definition of differentiability, and verify that both ε₁ and ε₂ approach 0 as (Δx, Δy) → (0, 0).

ƒ(x, y) = x² + y²

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Authors: Ron Larson, Bruce H. Edwards

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Show that the function is differentiable by finding values of 1 and 2 as designated

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Calculus

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