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).
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).
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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Need help with part a). Please explain each step and neatly type up. Thank you :)
Transcribed Image Text:2. Let ƒ(x,y) = |x − 1| · yś.
.
(a) Compute, if they exist, the partial derivatives få 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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