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

- :
`k`=**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

. The quotient numerator is in`b`/`a``q`and the denominator in`d`.**See also:**polyint, polyval, polyreduce.

- :
`q`=**polyint**`(`

¶`p`) - :
`q`=**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.