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Derivatives of Hyperbolic Functions
  Hyperbolic Functions
  Derivatives of Hyperbolic Functions

Derivatives of Hyperbolic Functions

In many physical problem, there usually exists the combination of the terms ex and e-x. Hyperbolic functions are analogs of the trigonometric function with the imaginary i of the complex exponentials are removed.

Hyperbolic Functions

The hyperbolic functions are defined as following:

  • Hyperbolic Sine Function

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  • Hyperbolic Cosine Function

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  • Hyperbolic Tangent Function

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  • Hyperbolic Cotangent Function

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  • Hyperbolic Secant Function

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  • Hyperbolic Cosecant Function

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Derivatives of Hyperbolic Functions

  1. Derivative of Hyperbolic Sine Function

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    Proof:

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  2. Derivative of Hyperbolic Cosine Function

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    Proof:

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  3. Derivative of Hyperbolic Tangent Function

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    Proof:

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  4. Derivative of Hyperbolic Cotangent Function

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    Proof:

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  5. Derivative of Hyperbolic Secant Function

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    Proof:

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  6. Derivative of Hyperbolic Cosecant Function

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    Proof:

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ID: 130700016 Last Updated: 7/7/2013 Revision: 0 Ref:

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References

  1. S. James, 1999, Calculus
  2. B. Joseph, 1978, University Mathematics: A Textbook for Students of Science & Engineering
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