This resource includes notes, examples, and assignment problems that include the following concepts.

· Using the chain rule to take the derivative of composite functions with positive integer exponents.

· Using the chain rule to take the derivative of composite functions with negative integer exponents.

· Using the chain rule to take the derivative of composite functions with rational exponents.

· Using the chain rule to take the derivative of composite functions with radicals

· Rewriting functions in chain rule friendly formats for easier derivatives

· Writing the equation of the tangent line by finding a derivative that involves the chain rule

· Analyze the x axis motion given a position function that is a composite function

Comments about applications:

· I typically introduce tangent lines and x axis motion when I teach the power rule.

· In all subsequent derivative assignments (product rule, quotient rule …) I include one of each so students practice applications in every assignment.