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Hyperbolic Functions

Hyperbolic Functions. The Hyperbolic Sine, Hyperbolic Cosine & Hyperbolic Tangent. The Inverse Hyperbolic Cotangent, Hyperbolic Secant & Hyperbolic Cosecant. Values. Remember Logarithmic Identities ( Calculus I ). Logarithmic Identities II. Identities. Proofs Identity (1).

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Hyperbolic Functions

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  1. Hyperbolic Functions

  2. The Hyperbolic Sine, Hyperbolic Cosine & Hyperbolic Tangent

  3. The Inverse Hyperbolic Cotangent, Hyperbolic Secant & Hyperbolic Cosecant

  4. Values

  5. Remember Logarithmic Identities ( Calculus I )

  6. Logarithmic Identities II

  7. Identities

  8. ProofsIdentity (1)

  9. ProofsIdentity (2)

  10. ProofsIdentity (3)

  11. ProofsIdentity (4)

  12. ProofsIdentity (5)

  13. ProofsIdentity (6)

  14. ProofsIdentity (7)

  15. Derivatives of Hyperbolic Functions

  16. Proofs(1) (sinhx)’ = coshx (2) (coshx)’ = sinhx

  17. Proofs(3) (tanhx)’ = sech2x

  18. Proofs(4) (cothx)’ = -csch2x

  19. Proofs(5) (sechx)’ = - sechx tanhx

  20. Proofs(5) (cschx)’ = - cschx cothx

  21. Integrals Involving hyperbolic Functions

  22. Examples I

  23. Examples II

  24. Examples III

  25. Examples IV

  26. Examples V

  27. Graphs of Hyperbolic Functions

  28. Graphs of Exponential Functions Functions

  29. Graphs of Exponential Functions

  30. f(x) = Cosh x

  31. f(x) = coshx = (½)ex + (½) e-xas x → ∞ the values f(x) → ∞ following (½)exas x → - ∞ the values f(x) → ∞ following (½) e-x

  32. f(x) = sinh x

  33. f(x) = tanh x

  34. f(x) = secx

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