inflection point
switch from concave up to concave down or vice versa
An inflection point is a point on the graph of a function where the concavity changes. More specifically, it is a point at which a function changes from being concave upward (positive second derivative) to concave downward (negative second derivative) or vice versa. At an inflection point, the slope of the curve is changing, but the function may or may not have a local extreme value at that point. It is also possible for a function to have multiple inflection points, where the concavity changes more than once. Inflection points are often used in calculus to analyze the behavior of functions and their derivatives.
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