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scipy.interpolate.KroghInterpolator.derivatives

KroghInterpolator.derivatives(x, der=None)

Evaluate many derivatives of the polynomial at the point x

Produce an array of all derivative values at the point x.

Parameters :

x : scalar or array_like of length N

Point or points at which to evaluate the derivatives

der : None or integer

How many derivatives to extract; None for all potentially nonzero derivatives (that is a number equal to the number of points). This number includes the function value as 0th derivative.

Returns :

d : ndarray

If the interpolator’s values are R-dimensional then the returned array will be der by N by R. If x is a scalar, the middle dimension will be dropped; if R is 1 then the last dimension will be dropped.

Examples

>>> KroghInterpolator([0,0,0],[1,2,3]).derivatives(0)
array([1.0,2.0,3.0])
>>> KroghInterpolator([0,0,0],[1,2,3]).derivatives([0,0])
array([[1.0,1.0],
       [2.0,2.0],
       [3.0,3.0]])