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 <
-1.31
ɛ-2/3, then the answer will have no precision. If
x <
-1.31
ɛ-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
