Product Rule (HSC SSCE Mathematics Advanced): Quizzes

For products of two functions

$\frac{dy}{dx} = u\frac{dv}{dx} + v\frac{du}{dx}$

First × deriv of 2nd + 2nd × deriv of 1st

$\frac{d}{dx}[u \cdot v] \neq \frac{du}{dx} \cdot \frac{dv}{dx}$

Identify the two functions $u$ and $v$

For simple products creating easy polynomials

$6x + 14$

Chain rule

Makes derivative cleaner and easier to use

$\frac{du}{dx}$ and $\frac{dv}{dx}$