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Problem 1. Let f(x, y) = min(|x|,|y|), where min(a, b) is the minimum of a and b. (a) Sketch three level sets of f(x,y). (b) Calculate the partial derivatives fr(0,0) and fy(0,0). (b) Show that f is not differentiable at (0,0).

Problem 1. Let f(x, y) = min(|x|,|y|), where min(a, b) is the minimum of a and b. (a) Sketch three level sets of f(x,y). (b) Calculate the partial derivatives fr(0,0) and fy(0,0). (b) Show that f is not differentiable at (0,0).

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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Need help with part c). Please explain each step and neatly type up. Thank you :)

 

Problem 1. Let f(x, y) min(|x|, |y|), where min(a, b) is the minimum of a and b. (a) Sketch three level sets of f(x,y). (b) Calculate the partial derivatives fa(0,0) and fy(0,0). (b) Show that f is not differentiable at (0,0).
Transcribed Image Text:Problem 1. Let f(x, y) min(|x|, |y|), where min(a, b) is the minimum of a and b. (a) Sketch three level sets of f(x,y). (b) Calculate the partial derivatives fa(0,0) and fy(0,0). (b) Show that f is not differentiable at (0,0).
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