Struct ProductRule 

pub struct ProductRule;

Product rule implementation for two factors

Implementations

impl ProductRule

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

Handle derivative of product expressions using product rule

Examples

use mathhook_core::simplify::Simplify;
use mathhook_core::{Expression, ProductRule};
use mathhook_core::symbol;
use mathhook_core::calculus::derivatives::Derivative;

let x = symbol!(x);
let expr = Expression::mul(vec![
    Expression::symbol(x.clone()),
    Expression::function("sin", vec![Expression::symbol(x.clone())])
]);
let result = expr.derivative(x);

pub fn apply(u: &Expression, v: &Expression, variable: Symbol) -> Expression

Apply product rule for two expressions

For commutative: d(uv)/dx = (du/dx)v + u(dv/dx) For noncommutative: d(AB)/dx = (dA/dx)B + A(dB/dx) - ORDER MATTERS

Examples

use mathhook_core::{Expression, ProductRule};
use mathhook_core::symbol;

let x = symbol!(x);
let u = Expression::symbol(x.clone());
let v = Expression::function("sin", vec![Expression::symbol(x.clone())]);
let result = ProductRule::apply(&u, &v, x);