Let u(x, y) = √√|xy|, (x, y) = C. Show that ou and ou both exist at (0,0), but u is əx ду not real-differentiable at (0,0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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ди
Let u(x, y) = √√√xy, (x, y) = C. Show that and du both exist at (0,0), but u is
dy
not real-differentiable
at (0,0).
ди
əx
Transcribed Image Text:ди Let u(x, y) = √√√xy, (x, y) = C. Show that and du both exist at (0,0), but u is dy not real-differentiable at (0,0). ди əx
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