Critical points occur where derivative is zero. Second derivative test determines if it's a maximum or minimum.
Business — Maximizing profit: Set d(Profit)/dx = 0.
Engineering — Optimizing structural weight with strength constraints.
Physics — Finding equilibrium positions.
Economics — Minimizing cost or maximizing utility.
Manufacturing — Optimal batch sizes.
Packaging — Minimizing surface area for given volume.
Transportation — Shortest route problems.
Agriculture — Maximizing crop yield with fertilizer.
Medicine — Optimal drug dosage.
Finance — Portfolio optimization.
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