Points of Inflection

Definition

Points of Inflection are locations on a graph where its concavity changes from concave up to concave down, or vice versa.

Related terms

Concavity:

This refers to whether a graph is opening upwards like a "U" shape (concave up) or downwards like an "n" shape (concave down).

Second Derivative Test:

The Second Derivative Test helps determine if critical points correspond to local maxima, local minima, or neither.

Higher Order Derivatives: These are derivatives obtained by differentiating multiple times. For example, the second derivative is obtained by differentiating twice.