Differentiating and integrating logarithmic functions

What this note covers

1. The derivative of the natural logarithm
2. The chain rule for ln f(x)
3. The reciprocal integral and its domain
4. Recognising a derivative over its own function
5. Combining logarithmic derivatives with other rules
6. Rates, accumulation and model interpretation
7. A logarithmic optimisation model
8. Exact definite integrals involving logarithms

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