\[\operatorname{Bi}'\left(z\right)=\frac{3^{1/6}}{\Gamma\left(\tfrac{1}{3}\right%
)}e^{-\zeta}{{}_{1}F_{1}}\left(-\tfrac{1}{6};-\tfrac{1}{3};2\zeta\right)+\frac%
{3^{7/6}}{2^{7/3}\Gamma\left(\tfrac{2}{3}\right)}\zeta^{4/3}e^{-\zeta}{{}_{1}F%
_{1}}\left(\tfrac{7}{6};\tfrac{7}{3};2\zeta\right).\]