Quotient Rule (Edexcel A-Level Mathematics): Flashcards

If $f/g$, use $(g*f' - f*g')/g^2$ to differentiate.

$\frac{d}{dx} \left( \frac{u}{v} \right) = \frac{v u' - u v'}{v^2}$

They are the derivatives of the numerator and denominator.

Identify the functions $u(x)$ and $v(x)$.

Differentiate each function to find $u'(x)$ and $v'(x)$.

Combine and reduce the expression if possible.

$dy/dx = (-4x)/(x^2 - 1)^2$ after applying the quotient rule.

When functions are composite, use both rules together.

It accounts for changes in both numerator and denominator.

Point where the derivative is zero or undefined.