The Quotient Rule

Ref Sheet Formula

𝑦=𝑢𝑣dydx=𝑣dudx𝑢dvdx𝑣2

Tip

Basically, if there is a function (𝑦=𝑓(𝑥)𝑔(𝑥)), then it is 𝑦=𝑢𝑣

(𝑥)=𝑔(𝑥)𝑓(𝑥)𝑓(𝑥)𝑔(𝑥)[𝑔(𝑥)]2dydx=𝑣𝑢𝑢𝑣𝑣2

Important

The order is important for the quotient rule. 𝑣 or 𝑔(𝑥) MUST come first.