Inflection Point

An inflection point is a point on the graph of a function where the concavity changes, meaning that the curve switches from being concave up to concave down, or vice versa. Inflection points often indicate a change in the overall behavior of the function and can help in understanding its shape and properties.

To find inflection points, you generally start by finding the second derivative of the function. Then, you look for the values of the independent variable where the second derivative is zero or undefined. Finally, you must verify that the concavity actually changes at these points by testing the intervals around them.