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) xy ...

fx y xy Z Az fx x y Ay x y x 2xAx Axy ...

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) = x²y

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Mar 29, 2023 01:59 AM

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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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