(xy(x² – y²) f(x,y) ={ x² +y² si x² + y² + 0 0 si (x, y) = (0,0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Show that for the given function, the value of the mixed partial derivatives at point (0,0) depends on the derivative sequence.

 

(ху(x? — у?)
x² + y2
si x? + y? # 0
f(x, y)
= -
si (x, y) = (0,0)
Transcribed Image Text:(ху(x? — у?) x² + y2 si x? + y? # 0 f(x, y) = - si (x, y) = (0,0)
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