Chain Rule

Derivative of a composite function.

\frac{d}{d x} f (g (x)) = f^{'} (g (x)) g^{'} (x)

Variables

Differentiate the outside (leaving the inside alone), then multiply by the derivative of the inside.

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

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

Power Rule (Derivatives)

Derivative of a power of x.