Quotient rule

If \(y=\dfrac{u}{v}\) is a quotient of two functions, then the quotient rule states that \[\frac{dy}{dx}=\frac{v\dfrac{du}{dx}-u\dfrac{dv}{dx}}{v^2}.\] This can be deduced by applying the product and chain rules to \(y=uv^{-1}\).