# airy

airy(k,x)

The `k`th derivative of the Airy function \$\operatorname{Ai}(x)\$.

## Examples

1. Calculate the Airy function:

``````julia> airy(0, 1.5)
2.1290590586072155``````

This example calculates the value of the Airy function Ai(x) at x = 1.5.

2. Calculate the first derivative of the Airy function:

``````julia> airy(1, 2.0)
-0.2329152793619041``````

It calculates the first derivative of the Airy function Ai(x) at x = 2.0.

3. Calculate the second derivative of the Airy function:

``````julia> airy(2, -0.5)
-0.4388407182460585``````

This example calculates the second derivative of the Airy function Ai(x) at x = -0.5.

4. Calculate higher-order derivatives of the Airy function:
``````julia> airy(3, 0.1)
-0.07121157052206455``````

It calculates the third derivative of the Airy function Ai(x) at x = 0.1.

## See Also

airy, airyai, airyaiprime, airybi, airybiprime, airyprime, airyx,

## User Contributed Notes

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