
 A function with a single critical point, which is a local minimum but not a global minimum (Site not responding. Last check: 20071107) 
  A function with a single critical point, which is a local minimum but not a global minimum 
  For a function of a single variable f(x), if f is continuous on an interval I, has only one critical point in I, and that critical point is a local minimum, then it is the absolute (or global) minimum. 
  The only point solving both of these equations is (0,1), and the second derivative test shows that this point is a local minimum for f. 
 www.math.tamu.edu /~tom.vogel/gallery/node16.html (214 words) 
