Problem with a taylor serie expansion

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Amaelle
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Homework Statement
Look at the image
Relevant Equations
Tayolr development
Greetings
https://www.physicsforums.com/attachments/295843

I really don´t agree with the solution
https://www.physicsforums.com/attachments/295846

as I calculated fxy I got
fxy=xyexy
f(0,1)=0 so x(y-1) should not appear in the solution
am I wrong?

thank you!
 
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I can't see the attachments.
 
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Likes Amaelle
thank you I solved the problem it was my wrong calculation!
 
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