Using the first and second derivative to sketch the graph of the function

Second derivative test for relative extrema

Finding a formula for a higher order derivative and a formula for the second derivative of a product

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

Optimizing values in word problems

The definition of higher derivatives and solving an example

Using derivatives to find the velocity and acceleration functions from the position function

Using the second derivative to find the maximum rate of change in a word problem

Derivatives of parametric equations and tangent lines