1. Hyperbolic Functions

2. The Hyperbolic Sine, Hyperbolic Cosine & Hyperbolic Tangent

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

4. Values

6. Remember Logarithmic Identities ( Calculus I )

7. Logarithmic Identities II

8. Identities

9. Proofs Identity (1)

10. Proofs Identity (2)

11. Proofs Identity (3)

12. Proofs Identity (4)

13. Proofs Identity (5)

14. Proofs Identity (6)

15. Proofs Identity (7)

16. Derivatives of Hyperbolic Functions

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

18. Proofs (3) (tanhx)’ = sech2x

19. Proofs (4) (cothx)’ = -csch2x

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

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

22. Integrals Involving hyperbolic Functions

23. Examples I

24. Examples II

25. Examples III

26. Examples IV

27. Examples V

28. Graphs of Hyperbolic Functions

29. Graphs of Exponential Functions Functions

30. Graphs of Exponential Functions

31. f(x) = Cosh x

32. f(x) = cosh x = (½)ex + (½) e-x as x → ∞ the values f(x) → ∞ following (½)ex as x → - ∞ the values f(x) → ∞ following (½) e-x

33. f(x) = sinh x

34. f(x) = tanh x

35. f(x) = secx