Calculus › Section N · Functions of several variables › Topic N.9
Applications of extrema
The second partials test earns its keep here: minimum material, shortest distance, maximum profit and the best-fit line through data all come down to the same two moves.
In this topic
- From one variable to a plan of attack
- The optimisation playbook
- Worked example: an open-top box
- Worked example: the closest point on a plane
- Worked example: maximum profit with two products
- Fitting a line to data
- Worked example: a least squares line
- Respecting the physical domain
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP