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 < -1.31e-2/3, then the answer will have no precision. If
x < -1.31e-1/3, the an­swer will be less accurate than half precision. Here
e = imsl_f_machine(4) is the machine pre­cision. In addition, x should not be so large that exp[(2/3)x3/2] overflows.

Example

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

#include <imsl.h>

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

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