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Inverse hyperbolic functions


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Derivatives of the inverse hyperbolic functions


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We state and prove the forms for the derivatives of the inverse hyperbolic functions. sinh-1x [Equation goes here - download the original to see it.] Proof Let y = sinh-1 x Then by taking the inverse x = sinh y Then differentiating with respect to x: [Equation goes here - download the original to see it.] cosh-1x [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] tanh-1x [Equation goes here - download the original to see it.]
Contents of
Inverse hyperbolic functions

1 Inverse Hyperbolic Functions
2 The Logarithmic forms of the inverse hyperbolic functions
3 Derivatives of the inverse hyperbolic functions

Related articles: (1) Derivatives of hyperbolic functions, (2) Inverse hyperbolic functions