# Derivative Kelvin function of the 1st kind (chart) Calculator

## Calculates a table of the derivative Kelvin functions of the first kind ber'v(x) and bei'v(x) and draws the chart.

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

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