1 / 9

7.7 Hyperbolic Functions

7.7 Hyperbolic Functions. Math 6B Calculus II. Definition of Hyperbolic Functions. Hyperbolic Cosine (cosh) Hyperbolic Sine (sinh) Other Hyperbolic Functions. Hyperbolic Identities. sinh (- x ) = - sinh x cosh (- x ) = cosh x cosh 2 x – sinh 2 x = 1 1 – tanh 2 x = sech 2 x

hoshi
Télécharger la présentation

7.7 Hyperbolic Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 7.7 Hyperbolic Functions Math 6B Calculus II

  2. Definition of Hyperbolic Functions • Hyperbolic Cosine (cosh) • Hyperbolic Sine (sinh) • Other Hyperbolic Functions

  3. Hyperbolic Identities • sinh(-x) = -sinhx • cosh(-x) = coshx • cosh2x – sinh2x = 1 • 1 – tanh2x = sech2x • sinh(x+y) = sinhx coshy + coshx sinhy • cosh(x+y) = coshx coshy + sinhx sinhy

  4. Inverse Hyperbolic Functions

  5. Inverses of the Hyperbolic Functions Expressed as Logarithms

  6. Derivatives of Inverse Hyperbolic Functions

  7. Derivatives of Inverse Hyperbolic Functions

  8. Integrals of Inverse Hyperbolic Functions

  9. Integrals of Inverse Hyperbolic Functions

More Related