Math 3592H Honors Mathematics I Fall Semester 2003
Assignment 6 - Due Thursday 10/16/2003
Read: Hubbard and Hubbard Section 1.7. My guess is that we will probably only get up to page 138 or so this week, but let's see!
Hand in only the exercises which have stars by them.
Section 1.6 (pages 124-125): 4*
Section 1.7 (pages 142-145): 1d*, 2*, 4b*, 5c*, 7a*, 10*,
1. For each of the following functions find the directional derivative in the direction of the unit vector u at the point x.
2. Show that the function f defined by
has a directional derivative in every direction at (0,0), but that f is not differentiable at (0,0).
[Hint: If f were differentiable at (0,0) then we would have f'(0,0)=0.]