Annex60.Utilities.Math.Functions.BaseClasses.der_2_smoothTransition

# .Annex60.Utilities.Math.Functions.BaseClasses.der_2_smoothTransition

Second order derivative of smoothTransition with respect to x

## Information

This function is the 2nd order derivative of Annex60.Utilities.Math.Functions.BaseClasses.smoothTransition.

#### Implementation

For efficiency, the polynomial coefficients `a, b, c, d, e, f` and the inverse of the smoothing parameter `deltaInv` are exposed as arguments to this function.

#### Interface

>     function der_2_smoothTransition
>       input Real x "Abscissa value";
>       input Real delta(min = Modelica.Constants.eps) "Abscissa value below which approximation occurs";
>       input Real deltaInv "Inverse value of delta";
>       input Real a "Polynomial coefficient";
>       input Real b "Polynomial coefficient";
>       input Real c "Polynomial coefficient";
>       input Real d "Polynomial coefficient";
>       input Real e "Polynomial coefficient";
>       input Real f "Polynomial coefficient";
>       input Real x_der "Derivative of x";
>       input Real x_der2 "Second order derivative of x";
>       output Real y_der2 "Second order derivative of function value";
>     end der_2_smoothTransition;

## Revisions

- August 11, 2015, by Michael Wetter:
  First implementation.

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