airy_Bi_derivative

Evaluates the derivative of the Airy function of the second kind.

Synopsis

#include <imsl.h>

float imsl_f_airy_Bi_derivative (float x)

The type double function is imsl_d_airy_Bi_derivative.

Required Arguments

float x (Input)
Argument for which the function value is desired.

Return Value

The derivative of the Airy function of the second kind.

Description

The airy function Bi′(x) is defined to be the derivative of the Airy function of the second kind, Bi(x). If x < -1.31ɛ-2/3, then the answer will have no precision. If x < -1.31ɛ-1/3, the answer will be less accurate than half precision. Here ɛ = imsl_f_machine(4) is the machine precision. In addition, x should not be so large that exp[(2/3)x3/2] overflows. For more information, see the description for imsl_f_machine.

Example

In this example, Bi′(-4.9) is evaluated.

 

#include <imsl.h>

#include <stdio.h>

 

int main()

{

float x = -4.9;

float ans;

 

x = imsl_f_airy_Bi_derivative (x);

 

printf ("Bi’(-4.9) = %f\n", x);

}

Output

Bi’(-4.9) = 0.827219