Determine the first partial derivatives of the function (r+y)³ if (x, y) # (0, 0) f(x, y) = and determine if these if (x, y) = (0, 0) partial derivatives are continuous at (0,0). %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Determine the first partial derivatives of the function
(r+y)³
1² +y²
if (x, y) # (0,0)
f(x, y) =
and determine if these
if (x, y) = (0, 0)
partial derivatives are continuous at (0,0).
Transcribed Image Text:Determine the first partial derivatives of the function (r+y)³ 1² +y² if (x, y) # (0,0) f(x, y) = and determine if these if (x, y) = (0, 0) partial derivatives are continuous at (0,0).
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