Octave comes with functions for computing the derivative and the integral
of a polynomial. The functions
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
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.
See also: polyint, polyval, polyreduce.
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.
See also: polyder, polyval.
Return the coefficients of the polynomial vector f after an affine transformation.
If f is the vector representing the polynomial f(x), then
g = polyaffine (f, mu) is the vector representing:
g(x) = f( (x - mu(1)) / mu(2) )
See also: polyval, polyfit.