Check your concepts in Multivariable Calculus
Calculus
Level
5
-
Let f:R²-R be defined by
f(x,y) = { (xy)/|x| if x≠ 0, 0. ElsewhereThen at the point (0,0) ,which of the following is false?
f is continuous
Partial derivatives are not continuous in an open interval containing the point
f is differentiable
Both partial derivatives exists at the point
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
0 solutions
No explanations have been posted yet. Check back later!