GNU Octave Manual Version 3by John W. Eaton, David Bateman, Søren Hauberg Paperback (6"x9"), 568 pages ISBN 095461206X RRP £24.95 ($39.95) |

## 26.4 Derivatives and Integrals

Octave comes with functions for computing the derivative and the integral
of a polynomial. The functions `polyderiv`

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

__Function File:__**polyderiv***(*`c`)__Function File:__[`q`] =**polyderiv***(*`b`,`a`)__Function File:__[`q`,`r`] =**polyderiv***(*`b`,`a`)- Return the coefficients of the derivative of the polynomial whose
coefficients are given by vector
`c`. If a pair of polynomials is given`b`and`a`, the derivative of the product is returned in`q`, or the quotient numerator in`q`and the quotient denominator in`r`.See also poly, polyinteg, polyreduce, roots, conv, deconv, residue, filter, polygcd, polyval, polyvalm

__Function File:__**polyder***(*`c`)__Function File:__[`q`] =**polyder***(*`b`,`a`)__Function File:__[`q`,`r`] =**polyder***(*`b`,`a`)- See polyderiv.

__Function File:__**polyint***(*`c`,`k`)- Return the coefficients of the integral of the polynomial whose
coefficients are represented by the vector
`c`. The variable`k`is the constant of integration, which by default is set to zero.See also poly, polyderiv, polyreduce, roots, conv, deconv, residue, filter, polyval, and polyvalm

ISBN 095461206X | GNU Octave Manual Version 3 | See the print edition |