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2. Let f(x, y) = |x − 1| · yś. (a) Compute, if they exist, the partial derivatives få and fy at the point (x, y) = (1,0).

2. Let f(x, y) = |x − 1| · yś. (a) Compute, if they exist, the partial derivatives få and fy at the point (x, y) = (1,0).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
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Need help with part (a). Please explain each step and neatly type up. Thank you :)

 

2. Let f(x, y) = |x − 1| · yś. . (a) Compute, if they exist, the partial derivatives fx and fy at the point (x, y) = (1,0). (b) Compute the linearization of f(x, y) at the point (x, y) = (1,0). (c) Determine whether f(x, y) is differentiable at the point (x, y) = (1,0).
Transcribed Image Text:2. Let f(x, y) = |x − 1| · yś. . (a) Compute, if they exist, the partial derivatives fx and fy at the point (x, y) = (1,0). (b) Compute the linearization of f(x, y) at the point (x, y) = (1,0). (c) Determine whether f(x, y) is differentiable at the point (x, y) = (1,0).
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