Quotient Rule

Derivative of a quotient.

(\frac{f}{g})^{'} = \frac{f ^{'} g - f g ^{'}}{g ^{2}}

Variables

Mnemonic: “low d-high minus high d-low, over low squared”.

$\frac{d}{d x} \frac{x}{x + 1} = \frac{( x + 1 ) - x}{( x + 1 ) ^{2}} = \frac{1}{( x + 1 ) ^{2}}$ .

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

Product Rule

Derivative of a product of two functions.