Optimization Problems

Definition

Optimization problems involve finding maximum or minimum values for certain quantities within given constraints. These problems often require using calculus techniques such as differentiation to determine critical points.

Related terms

Critical Points:

Critical points are locations where either maximum or minimum values occur in an optimization problem. They can be found by setting derivatives equal to zero.

Constraints:

Constraints are conditions or limitations that must be satisfied in an optimization problem. They restrict possible solutions based on specific requirements.

Objective Function: The objective function defines what quantity needs to be optimized in an optimization problem. It is the function that needs to be maximized or minimized.