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Let f(x, y) be the function Vlxy|. Which one of the following statements is correct?

Let f(x, y) be the function Vlxy|. Which one of the following statements is correct?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f(x, y) be the function V|xy|. Which one of the following statements is correct? а. None of the others is correct. O b. f is not differentiable at (0,0) because the linearization L(x, y) is not a good approximation of f near (0,0). O c. f is not differentiable at (0,0) because the partial derivatives do not exist at (0,0). O d. f is not differentiable at (0,0) because the partial derivatives are not defined for some points near (0,0). e. f is differentiable at (0,0).
Transcribed Image Text:Let f(x, y) be the function V|xy|. Which one of the following statements is correct? а. None of the others is correct. O b. f is not differentiable at (0,0) because the linearization L(x, y) is not a good approximation of f near (0,0). O c. f is not differentiable at (0,0) because the partial derivatives do not exist at (0,0). O d. f is not differentiable at (0,0) because the partial derivatives are not defined for some points near (0,0). e. f is differentiable at (0,0).
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