Formal derivative of a polynomial

$$\frac{d}{dx}\sum_i a_i x^i = \sum_i i a_i x^{i-1}$$ Coefficients are lowest degree first, matching Resaln. Nothing analytic is used, so the rule is equally valid over a ring.

Usage

FrmlD(poly)

Arguments

poly

Coefficients, lowest degree first.

Value

Named list with estimate, coefficients, degree, method.

References

Classical algebra; no single owning source.

Examples

FrmlD(c(5, 3, 2, 1))
#> $estimate
#> [1] 3
#> 
#> $coefficients
#> [1] 3 4 3
#> 
#> $degree
#> [1] 2
#> 
#> $method
#> [1] "formal derivative of a polynomial"
#>