PPSplineF64.ppdnev_single(x, m)

Evaluate a single x coordinate derivative from the right on the pp spline.

Parameters:

• x (float) – The x-axis value at which to evaluate value.

• m (int) – The order of derivative to calculate value for.

Return type:

float (or Dual or Dual2 depending upon spline type)

Notes

The value of derivatives of the spline at x is the sum of the value of each b-spline derivatives evaluated at x multiplied by the spline coefficients, c.

Due to the definition of the splines this derivative will return the value from the right where derivatives are discontinuous.

\[\frac{d^m\$(x)}{d x^m} = \sum_{i=1}^n c_i \frac{d^m B_{(i,k,\mathbf{t})}(x)}{d x^m}\]