Objectives

  • Understand the properties of real functions and their behaviors.

  • Discover how we define the derivative using limits.

  • Learn about a bunch of very useful rules (like the power, product, and quotient rules) that help us find derivatives quickly

  • The students will learn how to study the differentiability of a function, that is to say, whether a function is differentiable or not. In addition, we will see the relationship between differentiability and continuity of a function.