Suppose is Continuous at a Stationary Point .

- 1. If on an Open Interval extending left from and on an Open Interval extending right from , then has a Relative Maximum (possibly a Global Maximum) at .
- 2. If on an Open Interval extending left from and on an Open Interval extending right from , then has a Relative Minimum (possibly a Global Minimum) at .
- 3. If has the same sign on an Open Interval extending left from and on an Open Interval extending right from , then does not have a Relative Extremum at .

**References**

Abramowitz, M. and Stegun, C. A. (Eds.).
*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.*
New York: Dover, p. 14, 1972.

© 1996-9

1999-05-26