Consider f(x,y) = ((x^2)y)/((x^2)+(y^2)) (x,y) not equal (0,0)
0 (x,y) = (0,0)
find partial deriviatives at (0,0) using limits.
Ok.....heres my work....
fx(x,y) = [f(x+h,y) - (f(x,y))]/h --> after subing i get
fx(x,y) = ([0/h^2] - [0/0]) / h in turns gives me zero?
now y
fy(x,y) = [f(x,y+h) - f(x,y)] / h --> in turn gives me zero.
To me this doesnt seem right, am i right in assuming that 0/h^2 will give me zero. I know 0/0 is undefined but as we approach it are we approching 1 or zero or even infinity.
2006-11-28
06:13:53
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3 answers
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asked by
Anonymous
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Mathematics