Calculus › Section N · Functions of several variables › Topic N.1
Functions of several variables
Temperature depends on position and time; profit depends on price and volume. When one input is not enough, functions of several variables take over — and level curves and contour maps let you actually see them.
In this topic
- One input is not enough
- Domains are regions, not intervals
- Building new functions
- The graph is a surface
- Worked example: a hemisphere
- Level curves and contour maps
- Worked example: sketching a contour map
- Level surfaces
- Worked example: a production function
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP