Evaluates the derivative of the Airy function.

Synopsis

#include <imsl.h>

float imsl_f_airy_Ai_derivative (float x)

The type double function is imsl_d_airy_Ai_derivative.

Required Arguments

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

Return Value

The derivative of the Airy function.

Description

The airy function Ai¢(x) is defined to be the derivative of the Airy function, Ai(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. Finally, x should be less thanx" so that the answer does not underflow. Very approximately, x" = {-1.51lns}, where
s = imsl_f_machine(1), the smallest representable positive num­ber.

Example

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

#include <imsl.h>

main()

{

        float   x = -4.9;

        float   ans;

        x = imsl_f_airy_Ai_derivative (x);

        printf ("Ai’(-4.9) = %f\n", x);

}

Output

Ai’(-4.9) = 0.146958

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