Hyperbolic Functions Lesson 5.9

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

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

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

Integrals Involving Inverse Hyperbolic Functions

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

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?

Assignment Lesson 5.9 Page 377 Exercises 1 – 29 EOO 37 – 49 EOO