MTH 122 — Spring — 2005
Essex County College — Division of Mathematics
Quiz # 51— February 15, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers. Justify your answers algebraically
whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your
calculator, sketch all relevant graphs and write down all relevant mathematics.
1. Prove2that d
dxcot−1x=−
1
1 + x2.
1This document was prepared by Ron Bannon using L
A
T
E
X 2ε.
2You should use the same method that was used in class, including drawing the proper triangle.
1