Quotient Rule (Leaving Cert Mathematics): Flashcards

Derivative of a quotient of two functions

When functions are divided by one another

The numerator function

The denominator function

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

$v\frac{du}{dx}-u\frac{dv}{dx}$

$v^2$

Identify numerator and denominator

$\frac{-4x}{(x^2-1)^2}$

$\frac{2x-3x^2}{e^{3x}}$