1. Derivatives The derivative of ƒ at x is given by Provided the limit exists. A function is differentiable at x if its derivative exists at x. The process of finding derivatives is call differentiation.

2. Other ways to denote derivatives:

3. Find the derivative of ƒ(x) = x2 – 5x

6. Find the derivative of y with respect to t y =

8. Differentiability and Continuity If a function is differentiable at x=c, then it is continuous at x=c. Differentiability implies continuity The reverse, however, is not true See page 89 figure 2.11 for examples