Differentiating e^x and e^f(x) and exponential models

What this note covers

1. The limiting rate at the origin
2. Why the base e is special
3. Composite exponents and constant multipliers
4. Growth, decay and limiting behaviour
5. Products of time and an exponential: surge models
6. Quotients, saturation and communicating an answer
7. Estimating exponential parameters from two measurements
8. Exponential acceleration and recovering a motion model

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