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28.4 Derivatives / Integrals / Transforms

Octave comes with functions for computing the derivative and the integral of a polynomial. The functions polyder and polyint both return new polynomials describing the result. As an example we’ll compute the definite integral of p(x) = x^2 + 1 from 0 to 3.

c = [1, 0, 1];
integral = polyint (c);
area = polyval (integral, 3) - polyval (integral, 0)
⇒ 12
polyder (p)
[k] = polyder (a, b)
[q, d] = polyder (b, a)

Return the coefficients of the derivative of the polynomial whose coefficients are given by the vector p.

If a pair of polynomials is given, return the derivative of the product a*b.

If two inputs and two outputs are given, return the derivative of the polynomial quotient b/a. The quotient numerator is in q and the denominator in d.

polyint (p)
polyint (p, k)

Return the coefficients of the integral of the polynomial whose coefficients are represented by the vector p.

The variable k is the constant of integration, which by default is set to zero.