# 3.3 | The Product and Quotient Rules

More Properties of Derivatives: If $$f(x)$$ and $$g(x)$$ are differentiable at $$x$$, then

• Product Rule:
$$\frac{d}{dx}[f(x) \cdot g(x)] = \frac{d}{dx}[f(x)] \cdot g(x) + \frac{d}{dx}[g(x)] \cdot f(x)$$
• Quotient Rule:
$$\frac{d}{dx}\left[ \frac{f(x)}{g(x)}\right] = \frac{g(x) \cdot\frac{d}{dx}[f(x)] – \frac{d}{dx}[g(x)] \cdot f(x)}{(g(x))^2}$$