polyder(p, m=1)
This forms part of the old polynomial API. Since version 1.4, the new polynomial API defined in :None:None:`numpy.polynomial` is preferred. A summary of the differences can be found in the :None:doc:`transition guide </reference/routines.polynomials>`.
Polynomial to differentiate. A sequence is interpreted as polynomial coefficients, see poly1d
.
Order of differentiation (default: 1)
A new polynomial representing the derivative.
Return the derivative of the specified order of a polynomial.
poly1d
Class for one-dimensional polynomials.
polyint
Anti-derivative of a polynomial.
The derivative of the polynomial $x^3 + x^2 + x^1 + 1$ is:
>>> p = np.poly1d([1,1,1,1])
... p2 = np.polyder(p)
... p2 poly1d([3, 2, 1])
which evaluates to:
>>> p2(2.) 17.0
We can verify this, approximating the derivative with (f(x + h) - f(x))/h
:
>>> (p(2. + 0.001) - p(2.)) / 0.001 17.007000999997857
The fourth-order derivative of a 3rd-order polynomial is zero:
>>> np.polyder(p, 2) poly1d([6, 2])
>>> np.polyder(p, 3) poly1d([6])
>>> np.polyder(p, 4) poly1d([0])See :
The following pages refer to to this document either explicitly or contain code examples using this.
numpy.polynomial.polynomial.polyint
numpy.polyint
numpy.lib.polynomial.poly1d.deriv
numpy.polymul
numpy.polydiv
numpy.polyadd
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