Polynomial derivative

Polynomial derivative is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.

Given a polynomial, represented by an ordered list of its coefficients by increasing degree (e.g. [-1, 6, 5] represents 5x²+6x-1), calculate the polynomial representing the derivative. For example, the derivative of the aforementioned polynomial is 10x+6, represented by [6, 10].

Factor

<lang factor>USING: math.polynomials prettyprint ;

{ -1 6 5 } pdiff .</lang>

Output:

{ 6 10 }

The implementation of pdiff:

<lang factor>USING: kernel math.vectors sequences ; IN: math.polynomials

pdiff ( p -- p' ) dup length <iota> v* rest ;</lang>