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Let f : R2 → R be a function given by if (r. y) 7 (0,0), xy 1²+y² f(r. y) = if (r. y) = (0.0). Using definitions of partial derivatives, show whether f(r, y) is differentiable at point (0 0

Let f : R2 → R be a function given by if (r. y) 7 (0,0), xy 1²+y² f(r. y) = if (r. y) = (0.0). Using definitions of partial derivatives, show whether f(r, y) is differentiable at point (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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UWC Kamva : MAT 211 $1 202 Advanced Calculus Test Three.p Answered: If {u,v,w} is linearly in B.uwc.ac.za s Test Three.pdf 2/ 2 175% + Differentiability of f(x, y) at point (a, b) Let f: R2 R be a function given by if (r. y) # (0,0), XY x² +y² f(x, y) 0. if (x.y)= (0.0). Using definitions of partial derivatives, show whether f(x, y) is differentiable at point (0,0). ENG US
Transcribed Image Text:UWC Kamva : MAT 211 $1 202 Advanced Calculus Test Three.p Answered: If {u,v,w} is linearly in B.uwc.ac.za s Test Three.pdf 2/ 2 175% + Differentiability of f(x, y) at point (a, b) Let f: R2 R be a function given by if (r. y) # (0,0), XY x² +y² f(x, y) 0. if (x.y)= (0.0). Using definitions of partial derivatives, show whether f(x, y) is differentiable at point (0,0). ENG US
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