A function F is defined on R² By: f (x, y) (x, y)+ (0,0) F (x, y) = (x, y) = (0,0) Let f (x, y) _x²y+2xy² x²+y2 -Determine the partial derivatives in the origin and put on F1(x, y) and F2 (x, y) Determine if F is derivable in origin.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A function F is defined on R2 By:
f (x, y)
(x, y)# (0,0)
F (x, y) =
(x, y) = (0,0)
Let f (x, y)
x²y+2xy²
x2+y2
-Determine the partial derivatives in the origin and put on
F1(x, y) and F2 (x, y) Determine if F is derivable in origin.
Transcribed Image Text:A function F is defined on R2 By: f (x, y) (x, y)# (0,0) F (x, y) = (x, y) = (0,0) Let f (x, y) x²y+2xy² x2+y2 -Determine the partial derivatives in the origin and put on F1(x, y) and F2 (x, y) Determine if F is derivable in origin.
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