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Polynomial differentiation

k = polyder(p)

k = polyder(a,b)

[q,d] = polyder(a,b)

example

k = polyder(p) returns the derivative of the polynomial represented by the coefficients in p,

k

p

$$k\left(x\right)=\frac{d}{dx}p\left(x\right)\text{\hspace{0.17em}}.$$

k = polyder(a,b) returns the derivative of the product of the polynomials a and b,

a,b

a

b

$$k\left(x\right)=\frac{d}{dx}\left[a\left(x\right)b\left(x\right)\right]\text{\hspace{0.17em}}.$$

[q,d] = polyder(a,b) returns the derivative of the quotient of the polynomials a and b,

q

d

$$\frac{q\left(x\right)}{d\left(x\right)}=\frac{d}{dx}\left[\frac{a\left(x\right)}{b\left(x\right)}\right]\text{\hspace{0.17em}}.$$

collapse all

Create a vector to represent the polynomial .

p = [3 0 -2 0 1 5];

Use polyder to differentiate the polynomial. The result is .

polyder

q = polyder(p)

q = 15 0 -6 0 1

Create two vectors to represent the polynomials and .

a = [1 -2 0 0 11]; b = [1 -10 15];

Use polyder to calculate

q = polyder(a,b)

q = 6 -60 140 -90 22 -110

The result is

Create two vectors to represent the polynomials in the quotient,

p = [1 0 -3 0 -1]; v = [1 4];

Use polyder with two output arguments to calculate

[q,d] = polyder(p,v)

q = 3 16 -3 -24 1 d = 1 8 16

Polynomial coefficients, specified as a vector. For example, the vector [1 0 1] represents the polynomial $${x}^{2}+1$$, and the vector [3.13 -2.21 5.99] represents the polynomial $$3.13{x}^{2}-2.21x+5.99$$.

[1 0 1]

[3.13 -2.21 5.99]

For more information, see Create and Evaluate Polynomials.

Data Types: single | doubleComplex Number Support: Yes

single

double

Polynomial coefficients, specified as two separate arguments of row vectors.

Example: polyder([1 0 -1],[10 2])

polyder([1 0 -1],[10 2])

Integrated polynomial coefficients, returned as a row vector.

Numerator polynomial, returned as a row vector.

Denominator polynomial, returned as a row vector.

conv | deconv | polyint | polyval

conv

deconv

polyint

polyval

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