Struct GeneralProductRule 

pub struct GeneralProductRule;

General product rule for multiple factors

For product f1 * f2 * … * fn: d/dx(f1f2…fn) = (df1/dx)f2…fn + f1(df2/dx)…fn + … + f1f2*…*(dfn/dx)

Order is preserved for noncommutative expressions (matrices, operators, quaternions).

Implementations

impl GeneralProductRule

pub fn apply(factors: &[Expression], variable: &Symbol) -> Expression

Apply product rule for multiple factors

Preserves factor order for noncommutative expressions.

Examples

use mathhook_core::{Expression, symbol};
use mathhook_core::calculus::derivatives::GeneralProductRule;

let x = symbol!(x);
let factors = vec![
    Expression::symbol(x.clone()),
    Expression::function("sin", vec![Expression::symbol(x.clone())]),
    Expression::function("cos", vec![Expression::symbol(x.clone())])
];
let result = GeneralProductRule::apply(&factors, &x);