1. Hyperbolic Functions
Lesson 5.9

2. Definitions of Hyperbolic Functions
Consider the following definitions
Match the graphs with the definitions.
Note the identities, pg. 371

3. Derivatives of Hyperbolic Functions
Use definitions to determine the derivatives
Note the pattern or interesting results

4. Integrals of Hyperbolic Functions
This gives us antiderivatives (integrals) of these functions
Note other derivatives, integrals, pg. 371

5. Integrals Involving Inverse Hyperbolic Functions

6. Try It! Note the definite integral What is the a, the u, the du?
a = 3, u = 2x, du = 2 dx

7. Application Find the area enclosed by x = 1/2, x = 2, y = 0, and
Which pattern does this match?
What is the a, the u, the du?

8. Assignment
Lesson 5.9
Page 377
Exercises 1 – 29 EOO – 49 EOO