Unformatted text preview: xy = 0, except (0 , 0). B5. b) One example f ( x,y ) = xy x 2 + y 2 B7. i) a) diﬀerentiable, b) continuous, c) no info ii) a) not diﬀerentiable, b) no info, c) at least one partial not continuous iii) a) diﬀerentiable, b) continous, c) no info. iv) a) not diﬀerentiable, b) no info, c) at least one partial not continuous B8. i) does not exist ii) does not exist iii) does not exist iv) exists and equals 0 B9. a) One example f ( x,y ) = p  ( x1)( y2)  b) One example f ( x,y ) = p  1x 2y 2  B10. f ( x,y ) =  x  . B11. b) The limit exists and equals 0. 1...
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 Spring '08
 WOLCZUK
 Math, Derivative, lim, xy x2 +y, A4. Range −1

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