Quotient Rule (HSC SSCE Mathematics Advanced): Flashcards

Differentiate one function divided by another

$\frac{dy}{dx} = \frac{v\frac{du}{dx} - u\frac{dv}{dx}}{v^2}$

$v$ times $\frac{du}{dx}$ MINUS $u$ times $\frac{dv}{dx}$

Function in numerator (top of fraction)

Function in denominator (bottom of fraction)

Square of denominator function ($v^2$)

Low dee high, minus high dee low, over square of what's below

Denominator ($v$)

Derivative of numerator ($\frac{du}{dx}$)

When numerator and denominator cannot be easily simplified