(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
Related questions
Question
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd13c2a2e-ac5a-4369-b454-23c61d4fd415%2Ff1b4daf8-9a69-4e09-a4eb-f3d033007713%2Fb8sjpg_processed.png&w=3840&q=75)
Transcribed Image Text:(ху(x? — у?)
x² + y2
si x? + y? # 0
f(x, y)
= -
si (x, y) = (0,0)
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