# polyder

Returns the coefficients of the derivative of the polynomial whose coefficients are given by the vector x.

## Syntax

polyder(x)

R = polyder(x)

[n,d] =polyder(x,y)

## Inputs

x,y
Polynomial vectors.
Type: double | integer
Dimension: vector

## Outputs

R
Resulting coefficients.
n
Quotient numerator.
d
Quotient denominator.

## Example

Simple polyder example.

``polyder([1,2,-3])``
``````R = [Matrix] 1 x 2
2 2 ``````

## Example

Multi-input polyder example.

``````x = [1,2,-3]
y = [4,-3,-5]
polyder(x,y)``````
``````R = [Matrix] 1 x 4
16 15 -46 -1 ``````

## Example

Multi-input multi-output polyder example.

``````x = [1,2,-3]
y = [4,-3,-5]
[n,d] = polyder(x,y)

n = [Matrix] 1 x 4
0 -0.6875 0.875 -1.1875
d = [Matrix] 1 x 5
1 -1.5 -1.9375 1.875 1.5625  ``````

## Comments

When two polynomials are given, returns the derivative of the product x*y. When two inputs and two outputs are given, returns the derivative of the polynomial quotient y/x. The quotient numerator is in n and the denominator in d.