This chapter begins your epic quest through differential calculus! You will start with the concept and limit definition of the derivative before learning about differentiability and sketching graphs of the derivative of f(x). From there, it is time to shine a light on differentiation rules so you can then tackle position, velocity, and acceleration – all very cool! Then, it is off to master the Product, Quotient, and Chain Rules and then on to implicit differentiation. The chapter rounds out with a rockin’ study of related rates and a host of Advanced Calculus AB and BC free response and multiple choice practice questions featuring all you learned about the derivative. Time to dive in and get your blind blown by the beauty of the derivative!!!