Quotient rule for JEE

Formula

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

Variables: \(u=u(x),\ v=v(x)\).

Conditions: \(u,v\) differentiable and \(v\neq 0\).

Differentiating rational and ratio-type functions.