Points of Inflexion

A point of inflection is a point on a curve where the curvature defined bychanges from being positive to negative or vice versa, so thatbut A point of inflexion is not necessarily a stationary point, where– if in additionit is called a stationary point of inflexion.

Example:

and

so the graph has a point of inflexion atIt is not a stationary point of inflexion because when