Integrate and Differentiate Polynomials
This example shows how to use the polyint
and polyder
functions to analytically integrate or differentiate any polynomial represented by a vector of coefficients.
Use polyder
to obtain the derivative of the polynomial . The resulting polynomial is .
p = [1 0 -2 -5]; q = polyder(p)
q = 1×3
3 0 -2
Similarly, use polyint
to integrate the polynomial . The resulting polynomial is .
p = [4 -3 0 1]; q = polyint(p)
q = 1×5
1 -1 0 1 0
polyder
also computes the derivative of the product or quotient of two polynomials. For example, create two vectors to represent the polynomials and .
a = [1 3 5]; b = [2 4 6];
Calculate the derivative by calling polyder
with a single output argument.
c = polyder(a,b)
c = 1×4
8 30 56 38
Calculate the derivative by calling polyder
with two output arguments. The resulting polynomial is
[q,d] = polyder(a,b)
q = 1×3
-2 -8 -2
d = 1×5
4 16 40 48 36
See Also
polyder
| polyint
| conv
| deconv