Calculus › Section F · Logarithmic, exponential, and other transcendental functions › Topic F.1
The natural logarithm: derivatives
One integrand escaped every rule of Section E: 1/x. The natural logarithm is the function invented to fill that gap, and its definition by an integral hands us its derivative for free.
In this topic
- The missing antiderivative
- First properties for free
- The logarithm laws
- The derivative
- Worked example: the chain form
- Simplify first with the log laws
- Worked example: where is ln defined?
- The graph, and why logs rule science
- Common mistakes to avoid
- Key takeaways
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Standards: 3