derivative(self, n=1)
Order of derivative to evaluate. Default: 1
Spline of order k2=k-n representing the derivative of this spline.
Construct a new spline representing the derivative of this spline.
This can be used for finding maxima of a curve:
>>> from scipy.interpolate import UnivariateSpline
... x = np.linspace(0, 10, 70)
... y = np.sin(x)
... spl = UnivariateSpline(x, y, k=4, s=0)
Now, differentiate the spline and find the zeros of the derivative. (NB: :None:None:`sproot` only works for order 3 splines, so we fit an order 4 spline):
>>> spl.derivative().roots() / np.pi array([ 0.50000001, 1.5 , 2.49999998])
This agrees well with roots $\pi/2 + n\pi$ of $\cos(x) = \sin'(x)$ .
See :The following pages refer to to this document either explicitly or contain code examples using this.
scipy.interpolate._fitpack2.UnivariateSpline.derivative
scipy.interpolate._fitpack2.UnivariateSpline.antiderivative
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