Determining a functions concavity and inflection points

Determining concavity and inflection points and sketching the graph

Mean Value Theorem and using derivatives to find the shape of curves

Mean Value Theorem and using derivatives to find the shape of curves

Sketching a curve given information about the function and its derivatives

Using the first and second derivatives to sketch the graph of a function

Using derivatives to find properties of graphs

Using derivatives to find properties of graphs

Mean Value Theorem and properties of a graph