The above PDF handout has a comprehensive list of the derivatives of the essential elementary functions, as well as the rules, from which the derivative of **any** elementary function can be calculated by hand.

Although we will derive almost all of these statements in class, they are – perhaps more than anything else in the class – things that need to be memorized. There are numerous problems in sections 2.3 – 2.6 for you to practice with until you feel comfortable.