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# numpy.polyder

`numpy.``polyder`(p, m=1)

  Return the derivative of the specified order of a polynomial.

  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 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.])