Derivatives

Definition

The derivative represents the rate of change:

$$ \frac{df}{dx} $$

Basic Rules

• Power rule:

$$ \frac{d}{dx}(x^n) = nx^{n-1} $$

• Product rule:

$$ \frac{d}{dx}(uv) = u\frac{dv}{dx} + v\frac{du}{dx} $$

• Chain rule:

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