In calculus, a method called implicit differentiation makes use of the chain rule to differentiate implicitly defined functions. For differentiating an implicit function $y(x)$, defined by an equation $R(x, y) = 0$, it is not generally possible to solve it explicitly for $y$ and then differentiate. Instead, one can differentiate $R(x, y)$ with respect to $x$ and $y$ and then solve a linear equation in $dy / dx$ for getting explicitly the derivative in terms of $x$ and $y$.

Check out more math topics here.

Access detailed step by step solutions to thousands of problems, growing every day!