Point of Inflection

Definition

A point of inflection is a point on a curve where the concavity changes. It is where the curve transitions from being concave up to concave down, or vice versa.

Related terms

Concavity:

Refers to the upward or downward curvature of a curve at any given point.

Second Derivative Test:

A method used to determine whether a critical point is a local maximum, minimum, or neither by analyzing the concavity.

Inflection Point:

Similar to a point of inflection, an inflection point is where the curve changes its overall shape from being convex to concave, or vice versa.