Calculus › Section F · Logarithmic, exponential, and other transcendental functions › Topic F.4
Exponential functions: derivatives and integrals
The logarithm was defined first, by an integral. Its inverse is the exponential, and it turns out to be the function whose slope always equals its height.
In this topic
- Inverting the logarithm
- The exponent laws, inherited
- The derivative, from the inverse rule
- Worked example: chain forms
- The integral side
- Worked example: substitution with an exponential
- Why e earns the name natural
- Common mistakes to avoid
- Key takeaways
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Standards: 2, 6