Calculus › Section D · Applications of derivatives › Topic D.6
Putting it together: curve sketching
You now own every instrument: domains, asymptotes, the sign of each derivative. One checklist assembles them into a faithful sketch of almost any function you will meet.
In this topic
- Assembly time
- The checklist
- Worked example: the cubic, fully assembled
- Worked example: a rational function
- Worked example: the slant asymptote
- Odd facts the picture enforces
- Why hand-sketch in the age of graphers
- Common mistakes to avoid
- Key takeaways
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Standards: 5