Second derivatives, concavity, stationary points and points of inflection

What this note covers

1. The second derivative measures how the slope changes
2. Concavity and the direction of the slope
3. Classifying stationary points with two derivative tests
4. Inflection requires an actual change of concavity
5. Acceleration, velocity and speed are different quantities
6. Build a coherent graph and contextual conclusion
7. A complete stationary-point investigation
8. Acceleration, velocity and displacement checked together

8 sections · 10 key terms & formulas · 6 common mistakes