Calculus › Section F · Logarithmic, exponential, and other transcendental functions › Topic F.9
Hyperbolic functions
Two blends of e^x and e^−x behave so much like sine and cosine that they borrow their names, with an h. The hyperbolic functions describe the shape of hanging cables, and sinh and cosh differentiate into each other with no minus signs.
In this topic
- The other trig family
- Definitions and first values
- The identity, with its crucial minus
- Derivatives without minus signs
- Worked example: chain-rule practice on cosh
- Worked example: integrals are equally kind
- The hanging cable problem
- Inverses: the logarithm again
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP