Hyperbolic Functions

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 37 49 EOO