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!
Exercises:
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*,
Extra Questions
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.]