ASINH _ _ _ _ _ _ _ _ _ _ _ _ operator

The asinh operator returns the hyperbolic arcsine of its argument. The derivative of asinh and some simple transformations are known to the system.

syntax:

<expression> may be any scalar REDUCE expression, not an array, matrix or vector expression. <simple\_expression> must be a single identifier or begin with a prefix operator name.

examples:

asinh d; 

  ASINH(D) 


asinh(1); 

  ASINH(1) 


df(asinh(2*x),x); 

            2
  2*SQRT(4*X  + 1))
  ----------------- 
         2
      4*X  + 1

You may attach further functionality by defining asinh to be the inverse of sinh. This is done by the commands

        put('sinh,'inverse,'asinh);
        put('asinh,'inverse,'sinh);

A numeric value is not returned by asinh unless the switch rounded is on and its argument evaluates to a number.