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Date: 22-4-2019
1629
Date: 3-8-2019
3677
Date: 23-8-2018
1715
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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 local 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 local 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 has an inflection point at .
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 14, 1972.
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