The first step is to clearly define the objective function you want to maximize or minimize.
Constraints limit the possible values of your variables, affecting the feasible region and the optimal solution.
Use the first or second derivative test to analyze the nature of the critical point.
Evaluate the objective function at the critical points and endpoints of the interval to find the absolute maximum or minimum.
The maximum or minimum value may occur at the endpoints rather than at a critical point.
Check that your solution satisfies all constraints and makes logical sense within the problems context.
Common mistakes include incorrect differentiation, overlooking constraints, and misinterpreting the results.
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