Calculus › Section D · Applications of derivatives › Topic D.7
Optimisation problems
This is the payoff of the whole of Section D: turning a messy word problem into a function and letting the calculus find its best value. Most of the work is the translation, so a fixed routine does the heavy lifting.
In this topic
- The payoff
- The seven-step routine
- Worked example: the riverside pen
- Is it really the best?
- Worked example: the open box
- Worked example: the cheapest can
- Worked example: the closest point
- Worked example: maximum profit
- A one-variable classic
- Model honestly
- Common mistakes to avoid
- Key takeaways
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Standards: 5