To evaluate the derivative of tanh- (x), we invert the equation y = tanh- (2) to...

 

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To evaluate the derivative of tanh- (x), we invert the equation y = tanh- (2) to express a tanh(y). dx We then compute the derivative dy dy as a function of y. da However, we normally want to use the hyperbolic trigonometry identity sech (y) to express dy It is easy to write dz as a function of x. To evaluate the derivative of tanh- (x), we invert the equation y = tanh- (2) to express a tanh(y). dx We then compute the derivative dy dy as a function of y. da However, we normally want to use the hyperbolic trigonometry identity sech (y) to express dy It is easy to write dz as a function of x.