The natural logarithm: derivative of ln x and ln f(x), and integrals of 1/x and f'(x)/f(x)

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 linked differentiation and accumulation problem
8. Checking logarithmic derivatives and antiderivatives

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