Stationary Points, Concavity and Points of Inflection

What this note covers

1. Stationary Points and the First Derivative Test
2. The Second Derivative Test for Stationary Points
3. Concavity: Concave Up and Concave Down
4. Points of Inflection: Definition and Sign-Change Condition
5. Using All Three Features Together: Curve Sketching
6. Sketching the Derivative Function from the Graph of f(x)
7. Applied Context: Interpreting Rates of Change in Real-World Scenarios

7 sections · 12 key terms & formulas · 6 common mistakes