A function F is defined on R2 by F(x,y) (picture)  let f(x,y)  = (x2y+2xy2) / (x2 + y2)  Determine the partiel derivatives at origo and set up F1(x,y) and F2(x,y). Decide if F is derivable at origo.

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) (picture) 

let f(x,y)  = (x2y+2xy2) / (x2 + y2

Determine the partiel derivatives at origo and set up F1(x,y) and F2(x,y).

Decide if F is derivable at origo. 

f (x,y)
(x,y)#(0,0)
F(x,y)=
(x,y)=(0,0)
Transcribed Image Text:f (x,y) (x,y)#(0,0) F(x,y)= (x,y)=(0,0)
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