Determining where a function is increasing or decreasing and the relative extrema

Determining where a function is increasing or decreasing and the relative extrema

What the derivatives of a function tell us about the shape of its graph

Optimizing values in word problems

Proving and then applying the Fundamental Theorem of Calculus

Using the Monotone Sequence Theorem and induction to show a sequence converges

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

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

Determining the properties of a function from the graph of its derivative