# Derivative Kelvin function of the 2nd kind (chart) Calculator

## Calculates a table of the derivative Kelvin functions of the second kind ker'v(x) and kei'v(x) and draws the chart.

 order v real number [ initial value x increment repetition ]
 $\normal Derivative\ Kelvin\ functions\\\hspace{60} of\ the\ 2nd\ kind\qquad ker_\nu'(x),\ kei_\nu'(x)\\[10](1)\ x^2y''+xy'-(ix^2+\nu^2)y=0\\\hspace{25} y=c_1{ker_\nu(x)}+ic_2{kei_\nu(x)}\\[10](2)\ ker_\nu'(x)={\large\frac{ker_{\nu\tiny +1}(x)+kei_{\nu\tiny +1}(x)}{\sqrt{2}}} +{\large\frac{\nu}{x}}ker_\nu(x)\\\hspace{25} kei_\nu'(x)={\large\frac{kei_{\nu\tiny +1}(x)-ker_{\nu\tiny +1}(x)}{\sqrt{2}}} +{\large\frac{\nu}{x}}kei_\nu(x)\\$

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