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Derivatives of General Results
  Derivative of General Polynomial Function
  Derivative of General Trigonometric Function
  Derivative of General Exponential and Logarithmic Function
  Derivative of General Inverse Trigonometric Function

Derivatives of General Results

Usually, general result of a function can be determined by the rule of composite function.

Derivative of General Polynomial Function

  1. Derivative of General Linear Function

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    Proof by Epsilon-Delta definition:

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  2. Derivative of General Quadratic Function

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    Proof by Epsilon-Delta definition:

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  3. Derivative of General Power Function

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  4. Derivative of General Continued Product Function

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    Proof.

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    Or by Logarithmic Differentiation

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Derivative of General Trigonometric Function

  1. Derivative of General Sine Function

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  2. Derivative of General Cosine Function

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  3. Derivative of General Tangent Function

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  4. Derivative of General Cotagent Function

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  5. Derivative of General Secant Function

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  6. Derivative of General Cosecant Function

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Derivative of General Exponential and Logarithmic Function

  1. Derivative of General Natural Exponential Function

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  2. Derivative of General Exponential Function

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  3. Derivative of General Natural Logarithmic Function

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  4. Derivative of General Logarithmic Function

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Derivative of General Inverse Trigonometric Function

  1. Derivative of General Inverse Sine Function

    General Inverse Sine Function

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    Proof

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    or

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  2. Derivative of General Inverse Cosine Function

    General Inverse Cosine Function

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    Proof

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  3. Derivative of General Inverse Tangent Function

    General Inverse Tangent Function

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    Proof

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  4. Derivative of General Inverse Cotangent Function

    General Inverse Cotangent Function

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    Proof

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    or

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  5. Derivative of General Inverse Secant Function

    General Inverse Secant Function

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    Proof

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  6. Derivative of General Inverse Cosecant Function

    General Inverse Cosecant Function

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    Proof

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ID: 130700008 Last Updated: 7/15/2013 Revision: 2 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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