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NotesParametersReturns
splder(tck, n=1)

Notes

Parameters

tck : BSpline instance or a tuple of (t, c, k)

Spline whose derivative to compute

n : int, optional

Order of derivative to evaluate. Default: 1

Returns

`BSpline` instance or tuple

Spline of order k2=k-n representing the derivative of the input spline. A tuple is returned iff the input argument tck is a tuple, otherwise a BSpline object is constructed and returned.

Compute the spline representation of the derivative of a given spline

See Also

BSpline
spalde
splantider
splev

Examples

This can be used for finding maxima of a curve:
from scipy.interpolate import splrep, splder, sproot
import numpy as np
x = np.linspace(0, 10, 70)
y = np.sin(x)
spl = splrep(x, y, k=4)
Now, differentiate the spline and find the zeros of the derivative. (NB: `sproot` only works for order 3 splines, so we fit an order 4 spline):
dspl = splder(spl)
sproot(dspl) / np.pi
This agrees well with roots :math:`\pi/2 + n\pi` of :math:`\cos(x) = \sin'(x)`.
See :

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

spaldespaldeBSplineBSplinesplevsplevsplantidersplantider

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them

GitHub : /scipy/interpolate/_fitpack_py.py#668
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