Critical Point

Definition

A critical point is a point on a function where the derivative is either zero or undefined. It represents a potential maximum, minimum, or inflection point.

Related terms

Local Maximum:

A local maximum is a critical point where the function reaches its highest value within a small interval around that point.

Local Minimum:

A local minimum is a critical point where the function reaches its lowest value within a small interval around that point.

Inflection Point:

An inflection point is a critical point where the concavity of the function changes from upward to downward or vice versa.