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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 14E
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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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