Product Rule

Derivative of a product of two functions.

(f g)^{'} = f^{'} g + f g^{'}

Variables

Differentiate one factor at a time while keeping the other fixed, then add.

$\frac{d}{d x} (x^{2} sin x) = 2 x sin x + x^{2} cos x$ .

Differentiate functions step by step using the power, product, quotient and chain rules. Supports higher-order and partial derivatives.

Quotient Rule

Derivative of a quotient.

Chain Rule

Derivative of a composite function.