A point where the second derivative of a function changes sign is called an inflection point. At an inflection point, the second derivative may be zero, as in the case of the inflection point x=0 of the function y=x3, or it may fail to exist, as in the case of the inflection point x=0 of the function y=x1/3. At an inflection point, a function switches from being a convex function to being a concave function or vice versa.
Read more about this topic: Derivative, Differentiation and The Derivative
Famous quotes containing the word point:
“The point is to show who is the cross and who the crucified.”
—Max Frisch (1911–1991)