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Hyperbolic Functions

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This gives us antiderivatives (integrals) of these functions ... Application. Find the area enclosed by. x = 1/2, x = 2, y = 0, and. Which pattern does this match? ... – PowerPoint PPT presentation

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Title: 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
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