Inflection Points in AP Calculus AB/BC

Definition

Inflection points are points on a graph where the concavity changes. In other words, they mark the spots where a curve transitions from being concave up to concave down, or vice versa.

Related terms

Local Minimum:

A local minimum refers to the lowest point of a function within a specific interval. It is lower than all nearby points but may not be lower than all other points on the entire function.

Local Maximum:

A local maximum refers to the highest point of a function within a specific interval. It is higher than all nearby points but may not be higher than all other points on the entire function.

Critical Points:

Critical points are points on a graph where either the derivative is zero or does not exist. They can be used to find important information about functions such as relative extrema and inflection points.