Vous êtes un professionnel et vous avez besoin d'une formation ? Sensibilisation à
l'Intelligence Artificielle Voir le programme détaillé

Module « numpy »

Fonction polyder - module numpy

Signature de la fonction polyder

def polyder(p, m=1) 

Description

help(numpy.polyder)

Return the derivative of the specified order of a polynomial.

.. note::
   This forms part of the old polynomial API. Since version 1.4, the
   new polynomial API defined in `numpy.polynomial` is preferred.
   A summary of the differences can be found in the
   :doc:`transition guide </reference/routines.polynomials>`.

Parameters
----------
p : poly1d or sequence
    Polynomial to differentiate.
    A sequence is interpreted as polynomial coefficients, see `poly1d`.
m : int, optional
    Order of differentiation (default: 1)

Returns
-------
der : poly1d
    A new polynomial representing the derivative.

See Also
--------
polyint : Anti-derivative of a polynomial.
poly1d : Class for one-dimensional polynomials.

Examples
--------
The derivative of the polynomial :math:`x^3 + x^2 + x^1 + 1` is:

>>> import numpy as np

>>> 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])

Vous êtes un professionnel et vous avez besoin d'une formation ? Programmation Python
Les compléments Voir le programme détaillé