Average versus instantaneous rates of change; gradients of chords and tangents

What this note covers

1. Average rate of change over an interval
2. Chords, secants and their equations
3. Instantaneous rate and tangent gradient
4. Estimating a tangent gradient numerically
5. Interpreting positive, negative and zero rates
6. Rates in displacement and other contexts

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