Stage 36 · Limits, Derivatives & Their Applications

36.6.1 Modeling an Optimization Problem

36.6 Derivatives at Work: Optimization in Action

Point 1 of 5

36.6.1 Modeling an Optimization Problem

Core idea

Turn "least material used, most profit earned" into variables, then write down the objective function and the range it's allowed to take.

Module goal. Translate real-world "cheapest" and "largest" problems into finding extremes of a function, use derivatives to deliver the best plan, and look back over the whole journey to open the door ahead.
eastmath.com · 36.6 Derivatives at Work: Optimization in Action · 36.6.1 Modeling an Optimization Problem