Math 13 Homework #8

All wish to possess knowledge, but few, comparatively speaking,
are willing to pay the price.
Juvenal

Reading

Read what we will cover in the next class: 12.6 - 12.7.

When reading 12.6 pay special attention to the following concepts:

  • directional derivative; What is the relation between the gradient and the maximum value of a directional derivative?
When reading 12.7 pay special attention to the following concepts:
  • extrema; local maximum; local minimum; absolute maximum; absolute minimum; critical point; saddle point; Second Derivative Test; Why do we need the 2nd Derivative Test?; What if D=0?; Extreme Value Theorem

Problems

The following problems are due by the beginning of class on Friday 10/16.
  • 12.6: 4, 7, 18, 22, 24, 28, 37, 44, 48.
  • Also, be sure to do the problem I handed out in class.