Explore Criteria for Concavity

Criteria for Concavity

This GeoGebra applet may be used to explore criteria for concavity of a curve defined by a function. Input a function and set its domain by using Left and Right sliders. Graph of the function is shown with concave up and concave down parts marked in red and and blue respectively. Graph in dotted is the graph of the derivative of the function. Increasing and decreasing parts on this graph are shown in purple and green respectively. Use slider c to explore the criteria for concavity. For more on concavity check my online book "Flipped Classroom Calculus of Single Variable" https://versal.com/learn/vh45au/