Second derivative by implicit differentiation for JEE

Formula

\[\frac{d^2y}{dx^2}=\frac{d}{dx}\left(\frac{dy}{dx}\right)\]

Variables: \(y\) is implicitly defined by a relation in \(x,y\).

Conditions: Differentiate the obtained \(dy/dx\) again, using implicit differentiation where needed.

Higher derivatives of implicit curves.