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First-order derivatives of the third-kind Kelvin function (graph)

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Calculates a table and plots the first derivatives of the Kelvin functions of the third kind, her'v(x) and hei'v(x).
Order v
Real numbers
[ Initial values for x
]
\(\normalsize Derivative\ Kelvin\ functions\\ \hspace{60px} of\ the\ 3rd\ kind\ her_\nu'(x),\ hei_\nu'(x)\\ (1)\ x^2y''+xy'-(ix^2+\nu^2)y=0\\ \hspace{25px} y=c_1{her_\nu(x)}+ic_2{hei_\nu(x)}\\ (2)\ her_\nu'(x)={\large\frac{her_{\nu\tiny +1}(x)+hei_{\nu\tiny +1}(x)}{\sqrt{2}}} +{\large\frac{\nu}{x}}her_\nu(x)\\ \hspace{25px}hei_\nu'(x)={\large\frac{hei_{\nu\tiny +1}(x)-her_{\nu\tiny +1}(x)}{\sqrt{2}}} +{\large\frac{\nu}{x}}hei_\nu(x)\\\)

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