Our purpose in this Lesson is to develop techniques of differentiation.

The derivative is the principal concept of differential calculus; it is the one single tool that we cannot omit in climbing our mountain. As with any tool, it is criticial that we learn when and how to use the derivative. Climbers must be able to use ropes, pitons, and caribiners to secure their safety on difficult climbing pitches. Even on a guided trip, each individual on the mountain must attain some degree of facility with these basic tools. The same is true for the derivative in differential calculus. The best and most expensive guides in the world can't climb the mountain for you!

Our advice for this Stage is to pay close attention, learn the basic skills of differentiation, and practice your skills until they become second nature to you.