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First derivatives of the Airy functions: Ai', Bi'

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Calculate the values of the first derivatives of the Airy functions, Ai'(x) and Bi'(x).
x
Complex numbers
\(\normalsize Derivative\ Airy\ functions\ Ai'(x),\ Bi'(x)\\ (1)\ Ai'(x)=-{\large\frac{x}{\pi\sqrt 3}}K_{\frac{2}{3}}(\frac{2}{3}x^{\frac{3}{2}})\\ \hspace{25px} Bi'(x)={\large\frac{x}{\sqrt3}}\left(I_{-\frac{2}{3}}(\frac{2}{3}x^{\frac{3}{2}})+I_{\frac{2}{3}}(\frac{2}{3}x^{\frac{3}{2}})\right)\\\)

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